Details

Time bar (total: 3.1s)

analyze69.0ms (2.2%)

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
61.3%59.3%37.5%0.1%3.1%0%0%8
72.3%67.1%25.8%0.1%7%0%0%9
78.2%72.6%20.3%0.1%7%0%0%10
85.1%76.9%13.5%0.1%9.6%0%0%11
88.3%79.8%10.5%0.1%9.6%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.3s (42.2%)

Results
1.3s8256×body256valid
26.0ms273×body256infinite
Bogosity

preprocess145.0ms (4.6%)

Algorithm
2×egg-herbie
Rules
1884×fma-def
1114×associate-+l-
840×fma-neg
702×+-commutative
614×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
14754
211346
322146
454442
5126642
6311542
7458542
8487242
9487242
10487242
11553042
12553042
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 (fma.f64 x (+.f64 y -1/2) 918938533204673/1000000000000000) y)
Compiler

Compiled 15 to 12 computations (20% saved)

simplify80.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1392×fma-def
764×associate-+l+
706×associate-+l-
678×associate--r+
540×associate-+r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01231
13027
26623
312623
426321
561421
6149721
7281721
8392221
9405421
10408121
Stop Event
1×saturated
Counts
1 → 6
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval1.0ms (0%)

Compiler

Compiled 59 to 41 computations (30.5% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New426
Fresh011
Picked000
Done000
Total437
Error
0b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0b
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize15.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 38 to 26 computations (31.6% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (1.7%)

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

simplify59.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1034×*-commutative
882×fma-def
716×associate-*r*
618×associate-*l*
614×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057578
1136578
2414578
32478578
45036578
Stop Event
1×node limit
Counts
42 → 28
Calls
Call 1
Inputs
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.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 x (+.f64 y -1))) 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 x (+.f64 y -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 x y) (*.f64 x -1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (*.f64 y x) (*.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (*.f64 x (+.f64 y -1))) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) 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 (fma.f64 x (pow.f64 y 3) (neg.f64 x)) (+.f64 1 (fma.f64 y y y)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) 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 (fma.f64 x (pow.f64 y 3) (neg.f64 x)) (+.f64 1 (fma.f64 y y y)))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)

localize8.0ms (0.3%)

Compiler

Compiled 20 to 13 computations (35% saved)

eval8.0ms (0.3%)

Compiler

Compiled 405 to 294 computations (27.4% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked101
Done011
Total26430
Error
0b
Counts
30 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (-.f64 (-.f64 (*.f64 y x) x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶17.6b
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶11.1b
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 47 to 35 computations (25.5% saved)

localize9.0ms (0.3%)

Compiler

Compiled 25 to 15 computations (40% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms
y
@0
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms
x
@0
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms
x
@inf
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms
y
@-inf
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)

rewrite84.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1084×*-commutative
1002×associate-*r/
874×distribute-lft-in
856×distribute-rgt-in
790×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
123515
2318615
Stop Event
1×node limit
Counts
1 → 102
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (fma.f64 y 1/2 -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (-.f64 (*.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 x -1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 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simplify113.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1600×associate-/l*
1130×associate-/r*
1036×*-commutative
708×+-commutative
512×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03096748
18646366
232686086
Stop Event
1×node limit
Counts
126 → 196
Calls
Call 1
Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(-.f64 (*.f64 y x) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(-.f64 (*.f64 y x) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000))
(-.f64 (*.f64 y x) (-.f64 (*.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(-.f64 (*.f64 y x) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(-.f64 (*.f64 y x) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (*.f64 y 1/2))))
(-.f64 (*.f64 y (+.f64 x -1/2)) -918938533204673/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (-.f64 1 (fma.f64 -1/2 y (*.f64 y 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 81061466795327/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 3) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))) (+.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(/.f64 (*.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (+.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) 1) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 x y (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 y x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(neg.f64 (*.f64 y (+.f64 1/2 (neg.f64 x))))
(*.f64 y (neg.f64 (-.f64 1/2 x)))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (neg.f64 (*.f64 y (+.f64 1/2 (neg.f64 x)))))
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x)))
(fma.f64 (neg.f64 y) (-.f64 1/2 x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (neg.f64 (*.f64 y (+.f64 1/2 (neg.f64 x)))))
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x)))
(fma.f64 (neg.f64 y) (-.f64 1/2 x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))))
(+.f64 918938533204673/1000000000000000 (neg.f64 (*.f64 y (+.f64 1/2 (neg.f64 x)))))
(-.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 1/2 x)))
(fma.f64 (neg.f64 y) (-.f64 1/2 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) (*.f64 1/2 y))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (*.f64 y x) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (*.f64 y x) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (*.f64 y 0) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(-.f64 (*.f64 y x) (-.f64 (*.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (*.f64 y 0) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(-.f64 (*.f64 y x) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(+.f64 (-.f64 (*.f64 y x) (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2)))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (+.f64 (*.f64 y 0) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (*.f64 y 0))
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(-.f64 (*.f64 y x) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (*.f64 y 1/2))))
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(-.f64 (*.f64 y (+.f64 x -1/2)) -918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) (-.f64 1 (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (*.f64 y 0) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 81061466795327/1000000000000000)
(+.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) -81061466795327/1000000000000000)
(+.f64 918938533204673/1000000000000000 (expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) (-.f64 81061466795327/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) (-.f64 81061466795327/1000000000000000 (*.f64 y 0)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y 0) (expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 81061466795327/1000000000000000 (*.f64 y -1/2)))
(+.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 81061466795327/1000000000000000 (*.f64 y -1/2)))
(+.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 81061466795327/1000000000000000 (*.f64 y -1/2)))
(+.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (*.f64 y 1/2))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (+.f64 (*.f64 y x) 918938533204673/1000000000000000) (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (*.f64 y 0) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (fma.f64 -1/2 y (*.f64 y 1/2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))) (fma.f64 -1/2 y (*.f64 y 1/2)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (+.f64 (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (*.f64 y 0)))
(+.f64 (*.f64 y 0) (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
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(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(-.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)))))
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 (+.f64 x -1/2) 918938533204673/1000000000000000))))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(fabs.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 y x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 x y (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 37 to 16 computations (56.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify62.0ms (2%)

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

Useful iterations: 1 (0.0ms)

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

eval112.0ms (3.6%)

Compiler

Compiled 6108 to 4326 computations (29.2% saved)

prune37.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2474251
Fresh000
Picked011
Done123
Total2487255
Error
0b
Counts
255 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.0b
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
✓0.0b
(+.f64 (-.f64 (-.f64 (*.f64 y x) x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓11.1b
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶36.2b
(*.f64 y (-.f64 x 1/2))
▶52.1b
(*.f64 y x)
44.6b
918938533204673/1000000000000000
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize3.0ms (0.1%)

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 x 1/2))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 y (-.f64 x 1/2))
0.0ms
y
@inf
(*.f64 y (-.f64 x 1/2))
0.0ms
x
@-inf
(*.f64 y (-.f64 x 1/2))
0.0ms
y
@-inf
(*.f64 y (-.f64 x 1/2))
0.0ms
x
@inf
(*.f64 y (-.f64 x 1/2))

rewrite52.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1574×add-sqr-sqrt
1550×*-un-lft-identity
1452×add-cube-cbrt
1436×add-cbrt-cube
1422×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115213
2189113
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))))))

simplify76.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
948×*-commutative
884×log-prod
862×fma-def
862×+-commutative
734×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062464
1143456
2415456
32373452
44613452
57181452
Stop Event
1×node limit
Counts
30 → 30
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)
(*.f64 y (+.f64 -1/2 x))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 y (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8)))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))))
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x (+.f64 x 1/2) 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))
(/.f64 y (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8)))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))))
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x (+.f64 x 1/2) 1/4)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 -1/2 x))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 -1/2 x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(*.f64 y (+.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 -1/2 x))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (+.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))

localize6.0ms (0.2%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval6.0ms (0.2%)

Compiler

Compiled 280 to 187 computations (33.2% saved)

prune7.0ms (0.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New29130
Fresh011
Picked011
Done055
Total29837
Error
0b
Counts
37 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.0b
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
✓0.0b
(+.f64 (-.f64 (-.f64 (*.f64 y x) x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓11.1b
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓36.2b
(*.f64 y (-.f64 x 1/2))
✓52.1b
(*.f64 y x)
▶46.6b
(*.f64 -1/2 y)
44.6b
918938533204673/1000000000000000
Compiler

Compiled 63 to 48 computations (23.8% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done066
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.0b
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
✓0.0b
(+.f64 (-.f64 (-.f64 (*.f64 y x) x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓0.0b
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓11.1b
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
✓36.2b
(*.f64 y (-.f64 x 1/2))
✓52.1b
(*.f64 y x)
✓46.6b
(*.f64 -1/2 y)
44.6b
918938533204673/1000000000000000
Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes26.0ms (0.8%)

Counts
10 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (-.f64 (*.f64 y x) x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
Calls

4 calls:

6.0ms
y
6.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
6.0ms
x
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 96 to 65 computations (32.3% saved)

regimes25.0ms (0.8%)

Counts
9 → 1
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (-.f64 (*.f64 y x) x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Calls

4 calls:

6.0ms
x
6.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
5.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
5.0ms
y
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
0.0b1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 88 to 60 computations (31.8% saved)

regimes33.0ms (1.1%)

Counts
7 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Calls

2 calls:

17.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
9.2b3x
0.8b3y
Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch27.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
0.6703155107449188
25.108103274128673
14.0ms
-130198204499.42343
-61985339.768090874
Results
23.0ms240×body256valid
0.0ms3×body256infinite
Compiler

Compiled 363 to 284 computations (21.8% saved)

regimes28.0ms (0.9%)

Counts
6 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(*.f64 y (-.f64 x 1/2))
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(*.f64 y (-.f64 x 1/2))
Calls

2 calls:

14.0ms
y
13.0ms
x
Results
ErrorSegmentsBranch
9.3b3x
1.0b3y
Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch25.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
11.0ms
389352054.15793616
2139294579.9819171
14.0ms
-130198204499.42343
-61985339.768090874
Results
21.0ms224×body256valid
0.0ms3×body256infinite
Compiler

Compiled 284 to 224 computations (21.1% saved)

regimes25.0ms (0.8%)

Counts
5 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 y 1/2))
(*.f64 y (-.f64 x 1/2))
Calls

2 calls:

12.0ms
y
12.0ms
x
Results
ErrorSegmentsBranch
17.7b3x
17.8b3y
Compiler

Compiled 25 to 17 computations (32% saved)

bsearch30.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
4.377200741069484e-22
1.591170485470113e-12
14.0ms
-73918.89476844354
-53.498661115364015
Results
27.0ms272×body256valid
Compiler

Compiled 290 to 235 computations (19% saved)

regimes25.0ms (0.8%)

Counts
4 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 y (-.f64 x 1/2))
Outputs
(*.f64 y (-.f64 x 1/2))
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
Calls

2 calls:

13.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
32.5b3x
18.8b3y
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch29.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
0.6703155107449188
25.108103274128673
16.0ms
-61985339.768090874
-8.024269953543095e-5
Results
25.0ms272×body256valid
Compiler

Compiled 222 to 184 computations (17.1% saved)

regimes25.0ms (0.8%)

Counts
3 → 4
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
(*.f64 y x)
Outputs
(*.f64 -1/2 y)
(*.f64 y x)
918938533204673/1000000000000000
(*.f64 -1/2 y)
Calls

2 calls:

12.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
33.0b4x
27.0b4y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch27.0ms (0.9%)

Algorithm
3×binary-search
Steps
TimeLeftRight
13.0ms
4.88688336684555e-10
4.620741042065112e-7
14.0ms
-130198204499.42343
-61985339.768090874
0.0ms
-4.352233785733311e+155
-4.229251435991681e+155
Results
24.0ms256×body256valid
0.0ms1×body256infinite
Compiler

Compiled 178 to 150 computations (15.7% saved)

regimes18.0ms (0.6%)

Accuracy

Total -33.1b remaining (-113.6%)

Threshold costs -33.1b (-113.6%)

Counts
2 → 3
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 -1/2 y)
Outputs
(*.f64 -1/2 y)
918938533204673/1000000000000000
(*.f64 -1/2 y)
Calls

2 calls:

9.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
42.9b2x
29.2b3y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch31.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
14.0ms
4.88688336684555e-10
4.620741042065112e-7
17.0ms
-61985339.768090874
-8.024269953543095e-5
Results
27.0ms288×body256valid
Compiler

Compiled 198 to 176 computations (11.1% saved)

simplify13.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
38×+-commutative
20×sub-neg
20×*-commutative
12×if-if-or-not
10×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064359
1111359
2135351
3145351
4149351
5150351
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 y -62000000) (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 1) (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)))
(if (<=.f64 y -1000000000) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 620000000) (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 x -54) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 x 3837614121784679/2475880078570760549798248448) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -1152921504606847/36028797018963968) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -430000000000000023330273182652051971846870525456402035213967011180610314634390082290056373998527292940396364717489916036724712392197318418749306952289878016) (*.f64 -1/2 y) (if (<=.f64 y -62000000) (*.f64 y x) (if (<=.f64 y 8689154328480147/18889465931478580854784) 918938533204673/1000000000000000 (*.f64 -1/2 y))))
(if (<=.f64 y -4165829655317709/2251799813685248) (*.f64 -1/2 y) (if (<=.f64 y 8689154328480147/18889465931478580854784) 918938533204673/1000000000000000 (*.f64 -1/2 y)))
918938533204673/1000000000000000
Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)))
(if (<=.f64 y -62000000) (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (if (<=.f64 y 1) (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (+.f64 (-.f64 (*.f64 y x) (*.f64 y 1/2)) 918938533204673/1000000000000000)))
(if (or (<=.f64 y -62000000) (not (<=.f64 y 1))) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y x) (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 (neg.f64 x) (*.f64 y 1/2))))
(if (or (<=.f64 y -62000000) (not (<=.f64 y 1))) (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 y -1/2))) (+.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y -1/2))))
(if (or (<=.f64 y -62000000) (not (<=.f64 y 1))) (+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y x) (*.f64 y -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y -1/2) x)))
(if (<=.f64 y -1000000000) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 620000000) (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -1000000000) (not (<=.f64 y 620000000))) (*.f64 y (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (-.f64 (neg.f64 x) (*.f64 y 1/2))))
(if (or (<=.f64 y -1000000000) (not (<=.f64 y 620000000))) (*.f64 y (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y -1/2))))
(if (or (<=.f64 y -1000000000) (not (<=.f64 y 620000000))) (*.f64 y (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y -1/2) x)))
(if (<=.f64 x -54) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 x 3837614121784679/2475880078570760549798248448) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 x -54) (not (<=.f64 x 3837614121784679/2475880078570760549798248448))) (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))
(if (or (<=.f64 x -54) (not (<=.f64 x 3837614121784679/2475880078570760549798248448))) (*.f64 y (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))
(if (<=.f64 y -1152921504606847/36028797018963968) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4165829655317709/2251799813685248) 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -1152921504606847/36028797018963968) (not (<=.f64 y 4165829655317709/2251799813685248))) (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(if (<=.f64 y -430000000000000023330273182652051971846870525456402035213967011180610314634390082290056373998527292940396364717489916036724712392197318418749306952289878016) (*.f64 -1/2 y) (if (<=.f64 y -62000000) (*.f64 y x) (if (<=.f64 y 8689154328480147/18889465931478580854784) 918938533204673/1000000000000000 (*.f64 -1/2 y))))
(if (<=.f64 y -430000000000000023330273182652051971846870525456402035213967011180610314634390082290056373998527292940396364717489916036724712392197318418749306952289878016) (*.f64 y -1/2) (if (<=.f64 y -62000000) (*.f64 y x) (if (<=.f64 y 8689154328480147/18889465931478580854784) 918938533204673/1000000000000000 (*.f64 y -1/2))))
(if (<=.f64 y -4165829655317709/2251799813685248) (*.f64 -1/2 y) (if (<=.f64 y 8689154328480147/18889465931478580854784) 918938533204673/1000000000000000 (*.f64 -1/2 y)))
(if (<=.f64 y -4165829655317709/2251799813685248) (*.f64 y -1/2) (if (<=.f64 y 8689154328480147/18889465931478580854784) 918938533204673/1000000000000000 (*.f64 y -1/2)))
918938533204673/1000000000000000
Compiler

Compiled 155 to 116 computations (25.2% saved)

soundness231.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
1392×fma-def
764×associate-+l+
706×associate-+l-
678×associate--r+
540×associate-+r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01231
13027
26623
312623
426321
561421
6149721
7281721
8392221
9405421
10408121
Stop Event
1×saturated
Compiler

Compiled 222 to 160 computations (27.9% saved)

end75.0ms (2.4%)

Compiler

Compiled 139 to 99 computations (28.8% saved)

Profiling

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