Details

Time bar (total: 3.0s)

analyze73.0ms (2.4%)

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 12 to 9 computations (25% saved)

sample1.2s (41.8%)

Results
863.0ms6717×body256valid
210.0ms742×body1024valid
140.0ms790×body512valid
18.0ms228×body256infinite
2.0ms7×body2048valid
Bogosity

preprocess50.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
1732×fma-def
1218×+-commutative
1176×associate--r+
870×sub-neg
790×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
12242
24642
314242
455330
5223930
6549930
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 x y (-.f64 1 y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(fma.f64 x y (-.f64 1 x))
(-.f64 (fma.f64 x y 1) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify157.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1208×fma-def
1088×+-commutative
880×*-commutative
758×unsub-neg
734×distribute-lft-out--
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0925
11821
24021
311621
443715
5172915
6421515
7576615
8665215
9693215
10712015
11721215
12737015
13779515
Stop Event
1×node limit
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)

eval1.0ms (0%)

Compiler

Compiled 31 to 20 computations (35.5% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Error
0b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(fma.f64 y (+.f64 x -1) 1)
▶17.2b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 x) (-.f64 1 y))
✓2.4b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite87.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1458×associate-*l/
986×*-commutative
888×distribute-lft-in
862×distribute-rgt-in
316×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
120040
2282840
Stop Event
1×node limit
Counts
2 → 158
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(*.f64 (-.f64 1 x) (-.f64 1 y))
Outputs
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exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))))

simplify124.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
992×associate-+l+
990×associate-+r+
980×+-commutative
954×associate-/l*
522×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046110150
114249134
266488834
Stop Event
1×node limit
Counts
206 → 266
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 x 1) (-.f64 1 (*.f64 (-.f64 1 x) (-.f64 1 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) (-.f64 1 x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) x)) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (+.f64 x 1)) 1)
(*.f64 1 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))
(*.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(*.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)))
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (fma.f64 (-.f64 1 x) (-.f64 1 y) x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)) (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)) (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))))
(/.f64 1 (/.f64 1 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(/.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)))) (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (*.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))) (-.f64 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) 3)) (*.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) 1) (neg.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) (sqrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2)) (cbrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) 3)) (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))) (-.f64 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) 1) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))) (sqrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))) (cbrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (cbrt.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (+.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))))
(pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(fma.f64 1 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 1 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2) (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) (neg.f64 y))))
(+.f64 1 (+.f64 (neg.f64 y) (*.f64 (-.f64 1 y) (neg.f64 x))))
(+.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))
(+.f64 (-.f64 1 x) (*.f64 1 (*.f64 (-.f64 1 x) (neg.f64 y))))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) 1))
(+.f64 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))
(+.f64 (-.f64 1 y) (*.f64 1 (*.f64 (-.f64 1 y) (neg.f64 x))))
(+.f64 (-.f64 1 y) (*.f64 (*.f64 (-.f64 1 y) (neg.f64 x)) 1))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (-.f64 1 x) (neg.f64 y))))
(+.f64 (neg.f64 y) (+.f64 1 (*.f64 (-.f64 1 y) (neg.f64 x))))
(+.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (-.f64 1 x))
(+.f64 (*.f64 (-.f64 1 y) (neg.f64 x)) (-.f64 1 y))
(-.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (neg.f64 y))))
(-.f64 1 (-.f64 y (*.f64 (-.f64 1 y) (neg.f64 x))))
(-.f64 (exp.f64 (log.f64 (-.f64 2 y))) (-.f64 1 (*.f64 (-.f64 1 y) (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (-.f64 1 x) (neg.f64 y))))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (*.f64 (-.f64 1 x) (neg.f64 y))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 y))))
(-.f64 (/.f64 1 (+.f64 1 y)) (-.f64 (/.f64 y (/.f64 (+.f64 1 y) y)) (*.f64 (-.f64 1 y) (neg.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 y y y))) (-.f64 (/.f64 (pow.f64 y 3) (+.f64 1 (fma.f64 y y y))) (*.f64 (-.f64 1 y) (neg.f64 x))))
(/.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 y)))
(/.f64 (-.f64 1 y) (/.f64 1 (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (-.f64 1 y)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 y)) (-.f64 1 (*.f64 y y))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 y y y))) (-.f64 1 (pow.f64 y 3))))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 1 y) (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 y)) (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 y)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (*.f64 y y))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 y y y))) (-.f64 1 (pow.f64 y 3))))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 y y y))) (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 y y y))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 x 1) (+.f64 1 y)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 y 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 y 3))) (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 1 y)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 x) 3)) (-.f64 1 y)) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 y)) (neg.f64 (+.f64 x 1)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (-.f64 1 y)) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 1 x)) (+.f64 1 y))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 y) 3)) (-.f64 1 x)) (-.f64 (+.f64 1 (*.f64 (neg.f64 y) (neg.f64 y))) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 y y))) (-.f64 1 x)) (neg.f64 (+.f64 1 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 y 3))) (-.f64 1 x)) (neg.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) 1) (+.f64 1 y))
(/.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) 1) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) 1) (+.f64 x 1))
(/.f64 (*.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 y y))) 1) (*.f64 (+.f64 x 1) (+.f64 1 y)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 y 3))) 1) (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 x 3))) 1) (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 y 3))) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 y) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 y) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 y 3))) (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 y)))) (sqrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 y)))) (sqrt.f64 (+.f64 1 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) 1) (+.f64 1 y))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1 y)) (cbrt.f64 (+.f64 1 y)))) (cbrt.f64 (+.f64 1 y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) 1) (+.f64 1 (fma.f64 y y y)))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) (sqrt.f64 (+.f64 1 (fma.f64 y y y)))) (sqrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 y y y))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))) (cbrt.f64 (+.f64 1 (fma.f64 y y y))))
(/.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) 1) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (+.f64 1 (+.f64 -1 y)) x 1) y)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (+.f64 1 (+.f64 -1 y)) x 1) y)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (+.f64 1 (+.f64 -1 y)) x 1) y)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)
(+.f64 x (*.f64 (+.f64 -1 y) x))
(*.f64 (+.f64 0 y) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (+.f64 1 (+.f64 -1 y)) x 1) y)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (+.f64 1 (+.f64 -1 y)) x 1) y)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (+.f64 1 (+.f64 -1 y)) x 1) y)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (-.f64 1 x) (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (-.f64 1 x) (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (-.f64 1 x) (neg.f64 y) 1)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
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(fabs.f64 (*.f64 (-.f64 1 y) (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))
(fma.f64 (-.f64 1 y) (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(fma.f64 (-.f64 1 y) (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))
(fma.f64 (-.f64 1 y) (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))
(fma.f64 (-.f64 1 y) (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))
(fma.f64 (-.f64 1 y) (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))

localize6.0ms (0.2%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval117.0ms (3.9%)

Compiler

Compiled 6761 to 4518 computations (33.2% saved)

prune40.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2615266
Fresh000
Picked011
Done101
Total2626268
Error
0b
Counts
268 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(fma.f64 y (+.f64 x -1) 1)
▶0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
▶20.1b
(-.f64 1 y)
▶27.9b
(*.f64 y (+.f64 -1 x))
▶43.1b
(*.f64 y x)
35.2b
1
Compiler

Compiled 37 to 27 computations (27% saved)

localize6.0ms (0.2%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 y (+.f64 -1 x))
0.0ms
y
@0
(*.f64 y (+.f64 -1 x))
0.0ms
y
@inf
(*.f64 y (+.f64 -1 x))
0.0ms
y
@-inf
(*.f64 y (+.f64 -1 x))
0.0ms
x
@0
(*.f64 y (+.f64 -1 x))

rewrite51.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1618×add-sqr-sqrt
1602×*-un-lft-identity
1494×add-cube-cbrt
1474×add-cbrt-cube
154×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115313
2195013
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 y (+.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) 1) (*.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -1 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 /.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (neg.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (neg.f64 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 y (*.f64 y x))))))

simplify58.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1134×associate-+r+
818×associate-+l+
626×associate-*r/
516×distribute-lft-neg-in
496×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078754
1228738
2849736
33652736
Stop Event
1×node limit
Counts
48 → 40
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 -1 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (*.f64 (neg.f64 y) 1) (*.f64 (*.f64 y x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -1 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)))
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (neg.f64 y) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (neg.f64 y) (*.f64 y x)))))
(pow.f64 (*.f64 y (+.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 -1 x))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 -1 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 -1 x))))
(exp.f64 (log.f64 (*.f64 y (+.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 -1 x))))
(fma.f64 y -1 (*.f64 y x))
(fma.f64 -1 y (*.f64 y x))
Outputs
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (neg.f64 y) (*.f64 y x))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y x) (neg.f64 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 (neg.f64 y) 1) (*.f64 (*.f64 y x) 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 -1 x)))) 1)
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (-.f64 -1 x))
(/.f64 y (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
(*.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 -1 (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 x x) x)))
(/.f64 y (/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 y (+.f64 1 (fma.f64 x x x))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (-.f64 -1 x))
(/.f64 y (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 y (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))
(*.f64 y (/.f64 (-.f64 1 (*.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 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 y (+.f64 1 (fma.f64 x x x))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 y (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(/.f64 (+.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (neg.f64 y) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 y y) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 y (*.f64 x (fma.f64 y x y)))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1 (pow.f64 x 3))) (*.f64 y (+.f64 y (*.f64 y (fma.f64 x x x)))))
(pow.f64 (*.f64 y (+.f64 -1 x)) 1)
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 -1 x))) 2)
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 -1 x))) 3)
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(pow.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 3) 1/3)
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 2))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(log.f64 (pow.f64 (exp.f64 (+.f64 -1 x)) y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 -1 x)))))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 -1 x)) 3))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 -1 x))))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(exp.f64 (log.f64 (*.f64 y (+.f64 -1 x))))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 -1 x))) 1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 -1 x))))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y -1 (*.f64 y x))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 -1 y (*.f64 y x))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 9 computations (55% saved)

series2.0ms (0.1%)

Counts
2 → 21
Calls

12 calls:

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

rewrite66.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2000×add-sqr-sqrt
1984×*-un-lft-identity
1856×add-cube-cbrt
1840×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
117424
2241124
Stop Event
1×node limit
Counts
2 → 78
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (*.f64 y x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) (sqrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 y x 1)) (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))) (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) (-.f64 1 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 y x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y x) y) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)) (-.f64 (*.f64 y x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 y x 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y x 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 y x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)) (neg.f64 y))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)))))

simplify56.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
888×distribute-lft-in
814×unswap-sqr
802×distribute-rgt-in
618×times-frac
602×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902445
14822151
220302127
Stop Event
1×node limit
Counts
99 → 98
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 x 1))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(-.f64 1 y)
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
(+.f64 1 (-.f64 (*.f64 y x) y))
(+.f64 1 (*.f64 (-.f64 (*.f64 y x) y) 1))
(+.f64 (*.f64 y x) (+.f64 1 (neg.f64 y)))
(+.f64 (*.f64 y x) (-.f64 1 y))
(+.f64 (fma.f64 y x 1) (neg.f64 y))
(+.f64 (fma.f64 y x 1) (*.f64 (neg.f64 y) 1))
(+.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 (*.f64 y x) y) 1)
(+.f64 (neg.f64 y) (fma.f64 y x 1))
(*.f64 1 (-.f64 (fma.f64 y x 1) y))
(*.f64 (-.f64 (fma.f64 y x 1) y) 1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) (sqrt.f64 (-.f64 (fma.f64 y x 1) y)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 y x 1) y)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 y x 1))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 y (fma.f64 y x 1)) (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))) (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 y x 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))))
(/.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) (-.f64 1 (-.f64 (*.f64 y x) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 y x 1) (neg.f64 y)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y x) y) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)) (-.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 y x 1) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 y x 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))
(pow.f64 (-.f64 (fma.f64 y x 1) y) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 y x 1) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y x 1) y))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x 1) y)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 y x) y)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x 1) y)))
(fma.f64 1 (fma.f64 y x 1) (neg.f64 y))
(fma.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)) (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))
(*.f64 1 (fma.f64 y x 1))
(*.f64 (fma.f64 y x 1) 1)
(*.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))
(*.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(pow.f64 (fma.f64 y x 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)
(pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))
(log.f64 (exp.f64 (fma.f64 y x 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x 1))))
(cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x 1)))
(exp.f64 (log1p.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 y x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x 1)))
(fma.f64 1 (*.f64 y x) 1)
(fma.f64 y x 1)
(fma.f64 x y 1)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)
Outputs
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(-.f64 (fma.f64 y x 1) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
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(*.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 y x 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 y x 1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))
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(-.f64 (fma.f64 y x 1) y)
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(+.f64 1 (*.f64 y (+.f64 x -1)))
(-.f64 (fma.f64 y x 1) y)
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(-.f64 (fma.f64 y x 1) y)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y x 1) y))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(-.f64 (fma.f64 y x 1) y)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3))
(+.f64 1 (*.f64 y (+.f64 x -1)))
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(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x 1) y)))
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(-.f64 (fma.f64 y x 1) y)
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x 1))) 1)
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(*.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))
(fma.f64 y x 1)
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(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
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(exp.f64 (*.f64 (log1p.f64 (*.f64 y x)) 1))
(exp.f64 (log1p.f64 (*.f64 y x)))
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(fma.f64 y x 1)
(fma.f64 1 (*.f64 y x) 1)
(fma.f64 y x 1)
(fma.f64 y x 1)
(fma.f64 x y 1)
(fma.f64 y x 1)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)
(fma.f64 y x 1)
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(fma.f64 y x 1)

eval32.0ms (1.1%)

Compiler

Compiled 1715 to 939 computations (45.2% saved)

prune19.0ms (0.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1371138
Fresh011
Picked011
Done044
Total1377144
Error
0b
Counts
144 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(fma.f64 y (+.f64 x -1) 1)
✓0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
✓20.1b
(-.f64 1 y)
✓27.9b
(*.f64 y (+.f64 -1 x))
✓43.1b
(*.f64 y x)
▶47.8b
(neg.f64 y)
35.2b
1
Compiler

Compiled 41 to 30 computations (26.8% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(fma.f64 y (+.f64 x -1) 1)
✓0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
✓20.1b
(-.f64 1 y)
✓27.9b
(*.f64 y (+.f64 -1 x))
✓43.1b
(*.f64 y x)
✓47.8b
(neg.f64 y)
35.2b
1
Compiler

Compiled 41 to 30 computations (26.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0b
(fma.f64 y (+.f64 x -1) 1)
✓0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
✓20.1b
(-.f64 1 y)
✓27.9b
(*.f64 y (+.f64 -1 x))
✓43.1b
(*.f64 y x)
✓47.8b
(neg.f64 y)
35.2b
1
Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes20.0ms (0.7%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(*.f64 y (+.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 y (+.f64 x -1) 1)
Outputs
(fma.f64 y (+.f64 x -1) 1)
Calls

4 calls:

6.0ms
x
5.0ms
y
4.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
4.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0b1(-.f64 1 y)
Compiler

Compiled 60 to 39 computations (35% saved)

regimes20.0ms (0.7%)

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

4 calls:

6.0ms
y
5.0ms
x
4.0ms
(-.f64 1 y)
4.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b1(-.f64 1 y)
Compiler

Compiled 54 to 35 computations (35.2% saved)

regimes38.0ms (1.3%)

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

3 calls:

16.0ms
x
12.0ms
y
8.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
8.3b3x
9.3b3y
9.9b3(-.f64 1 y)
Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch27.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
5.2250945584540805e+20
1.2838141069730987e+23
15.0ms
-0.5609613737135224
-1.384969783166432e-6
Results
23.0ms256×body256valid
0.0ms5×body256infinite
Compiler

Compiled 240 to 188 computations (21.7% saved)

regimes45.0ms (1.5%)

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

3 calls:

17.0ms
y
14.0ms
x
12.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
8.7b3x
16.6b5y
16.9b5(-.f64 1 y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch23.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
5.2250945584540805e+20
1.2838141069730987e+23
11.0ms
-5.431594855404919e+43
-6.1329563934501155e+41
Results
20.0ms224×body256valid
1.0ms7×body256infinite
Compiler

Compiled 184 to 138 computations (25% saved)

regimes57.0ms (1.9%)

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

2 calls:

37.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
17.5b11x
16.6b5y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch60.0ms (2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
13.0ms
1.2515784174580916e+27
4.153295897311128e+29
15.0ms
6.738490721245295e-16
5.0432037101146715e-11
16.0ms
-4.51694939827424e-104
-1.6056276779490394e-106
16.0ms
-1.1483353515757245e+143
-4.819990983523033e+141
Results
44.0ms463×body256valid
8.0ms49×body512valid
3.0ms30×body256infinite
Compiler

Compiled 351 to 268 computations (23.6% saved)

regimes33.0ms (1.1%)

Accuracy

Total -41.2b remaining (-196.2%)

Threshold costs -41.2b (-196.2%)

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

2 calls:

24.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
29.1b9x
21.0b3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch43.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
0.021947022725052716
120647089.18124937
27.0ms
-187.17986289280256
-0.000495613950967508
Results
32.0ms262×body256valid
5.0ms24×body1024valid
3.0ms18×body512valid
Compiler

Compiled 187 to 164 computations (12.3% saved)

simplify9.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048209
169209
273209
374209
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -3422735716801577/9007199254740992) (*.f64 y (+.f64 -1 x)) (if (<=.f64 x 15500000000000001048576) (-.f64 1 y) (*.f64 y (+.f64 -1 x))))
(if (<=.f64 x -16000000000000000718171402849214668568788992) (*.f64 y x) (if (<=.f64 x 16000000000000000000000) (-.f64 1 y) (*.f64 y x)))
(if (<=.f64 y -4900000000000000100106507068401266683460153236147161643797104955953988159616372012920273652835220506233945212989373728356986097805487346024448) (neg.f64 y) (if (<=.f64 y -6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 y x) (if (<=.f64 y 3010670175542045/79228162514264337593543950336) 1 (if (<=.f64 y 2600000000000000089523224576) (*.f64 y x) (neg.f64 y)))))
(if (<=.f64 y -1) (neg.f64 y) (if (<=.f64 y 1) 1 (neg.f64 y)))
1
Outputs
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -3422735716801577/9007199254740992) (*.f64 y (+.f64 -1 x)) (if (<=.f64 x 15500000000000001048576) (-.f64 1 y) (*.f64 y (+.f64 -1 x))))
(if (or (<=.f64 x -3422735716801577/9007199254740992) (not (<=.f64 x 15500000000000001048576))) (*.f64 y (+.f64 x -1)) (-.f64 1 y))
(if (<=.f64 x -16000000000000000718171402849214668568788992) (*.f64 y x) (if (<=.f64 x 16000000000000000000000) (-.f64 1 y) (*.f64 y x)))
(if (<=.f64 y -4900000000000000100106507068401266683460153236147161643797104955953988159616372012920273652835220506233945212989373728356986097805487346024448) (neg.f64 y) (if (<=.f64 y -6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (*.f64 y x) (if (<=.f64 y 3010670175542045/79228162514264337593543950336) 1 (if (<=.f64 y 2600000000000000089523224576) (*.f64 y x) (neg.f64 y)))))
(if (<=.f64 y -1) (neg.f64 y) (if (<=.f64 y 1) 1 (neg.f64 y)))
1
Compiler

Compiled 102 to 67 computations (34.3% saved)

soundness317.0ms (10.6%)

Algorithm
1×egg-herbie
Rules
1208×fma-def
1088×+-commutative
880×*-commutative
758×unsub-neg
734×distribute-lft-out--
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0925
11821
24021
311621
443715
5172915
6421515
7576615
8665215
9693215
10712015
11721215
12737015
13779515
Stop Event
1×node limit
Compiler

Compiled 292 to 197 computations (32.5% saved)

end52.0ms (1.7%)

Compiler

Compiled 90 to 52 computations (42.2% saved)

Profiling

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