Details

Time bar (total: 3.2s)

analyze73.0ms (2.3%)

Algorithm
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
50.8%50%48.4%0.1%1.6%0%0%7
60.8%59.3%38.2%0.1%2.3%0%0%8
70.8%67.1%27.7%0.1%5.1%0%0%9
77.3%72.6%21.3%0.1%6%0%0%10
83.9%76.9%14.7%0.1%8.3%0%0%11
87.7%79.8%11.2%0.1%8.9%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

sample1.3s (41.9%)

Results
1.3s8253×body256valid
46.0ms328×body256infinite
1.0msbody1024valid
0.0msbody512valid
Bogosity

preprocess37.0ms (1.1%)

Algorithm
egg-herbie
Rules
247×fma-neg_binary64
169×fma-def_binary64
59×cancel-sign-sub-inv_binary64
37×sub-neg_binary64
34×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
12720
24620
38218
415216
528416
653416
779016
893216
995216
1095316
022
122
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(-.f64 (+.f64 y x) (*.f64 y x))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(-.f64 x (-.f64 (*.f64 x y) y))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 y x) (*.f64 y x))
(+.f64 x (-.f64 y (*.f64 x y)))
(-.f64 x (-.f64 (*.f64 x y) y))
(fma.f64 (fma.f64 x -1 1) y x)
(fma.f64 x (-.f64 1 y) y)
Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify27.0ms (0.9%)

Algorithm
egg-herbie
Rules
249×fma-neg_binary64
179×fma-def_binary64
55×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
37×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0610
11510
23510
3699
41368
52658
65098
77778
89528
99818
109828
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x (-.f64 y (*.f64 x y)))
(fma.f64 x (neg.f64 y) (+.f64 x y))
(fma.f64 (fma.f64 -1 y 1) x y)
(fma.f64 x (-.f64 1 y) y)

eval1.0ms (0%)

Compiler

Compiled 36 to 16 computations (55.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New325
Fresh011
Picked000
Done000
Total336
Error
0b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 x (-.f64 1 y) y)
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 17 to 10 computations (41.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
917×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
840×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114410
2233110
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (+.f64 x (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (+.f64 x (*.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 y (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 y (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (*.f64 x y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (*.f64 x (-.f64 y (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)))) (-.f64 x (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))))))

simplify68.0ms (2.1%)

Algorithm
egg-herbie
Rules
505×distribute-rgt-in_binary64
435×distribute-lft-in_binary64
262×fma-neg_binary64
207×unswap-sqr_binary64
197×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421080
1416905
21618869
37340869
Stop Event
node limit
Counts
71 → 73
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 x (*.f64 (-.f64 y (*.f64 x y)) 1))
(+.f64 y (-.f64 x (*.f64 x y)))
(+.f64 y (+.f64 x (*.f64 x (neg.f64 y))))
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 (+.f64 x y) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (+.f64 y (-.f64 x (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 (-.f64 y (*.f64 x y)) x)
(*.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)
(*.f64 1 (+.f64 y (-.f64 x (*.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 x y)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 y (+.f64 x (*.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 y (+.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (*.f64 x y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y))) (*.f64 x (-.f64 y (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 y (*.f64 x y)) (-.f64 y (*.f64 x y)))) (-.f64 x (-.f64 y (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (*.f64 x (neg.f64 y))))
(pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)
(pow.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 3)
(pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 2))
(log.f64 (exp.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3))
(expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(fma.f64 1 x (-.f64 y (*.f64 x y)))
(fma.f64 1 (+.f64 x y) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
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(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
x
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(fma.f64 y (-.f64 1 x) x)
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(*.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(/.f64 1 (/.f64 (+.f64 y (+.f64 x (*.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 x y) (+.f64 y (+.f64 x (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 y (+.f64 x (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
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(*.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 (*.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (*.f64 y x)) 3)) (fma.f64 x x (*.f64 (-.f64 y (*.f64 y x)) (-.f64 (-.f64 y (*.f64 y x)) x))))
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(fma.f64 y (-.f64 1 x) x)
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(fma.f64 y (-.f64 1 x) x)
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(fma.f64 y (-.f64 1 x) x)
(fma.f64 1 x (-.f64 y (*.f64 x y)))
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(fma.f64 y (-.f64 1 x) x)
(fma.f64 1 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
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(fma.f64 y (-.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)

localize50.0ms (1.6%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 8 computations (42.9% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
632×pow1_binary64
586×add-log-exp_binary64
586×log1p-expm1-u_binary64
586×expm1-log1p-u_binary64
574×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11238
215238
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 x (-.f64 1 y) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 1 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 1 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) (sqrt.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 1 y) y)))))))

simplify59.0ms (1.8%)

Algorithm
egg-herbie
Rules
505×times-frac_binary64
377×associate-*l*_binary64
335×associate-+l+_binary64
317×associate-*r*_binary64
265×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063385
1167381
2641375
33515375
Stop Event
node limit
Counts
45 → 40
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
x
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x)
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x)
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(+.f64 (*.f64 x (-.f64 1 y)) y)
(+.f64 (*.f64 (*.f64 x (-.f64 1 y)) 1) y)
(-.f64 (+.f64 1 (fma.f64 x (-.f64 1 y) y)) 1)
(*.f64 1 (fma.f64 x (-.f64 1 y) y))
(*.f64 (fma.f64 x (-.f64 1 y) y) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 1 y) y)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) (sqrt.f64 (fma.f64 x (-.f64 1 y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 1 y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 1 y)) y))
(pow.f64 (fma.f64 x (-.f64 1 y) y) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1 y) y)))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 y) y)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1 y) y)))
Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
x
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 y (+.f64 1 (*.f64 -1 x)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 x))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 -1 (*.f64 y (-.f64 x 1)))
(*.f64 y (+.f64 1 (neg.f64 x)))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1))) x)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 x (-.f64 1 y)) y)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 (*.f64 x (-.f64 1 y)) 1) y)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(-.f64 (+.f64 1 (fma.f64 x (-.f64 1 y) y)) 1)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 1 (fma.f64 x (-.f64 1 y) y))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (fma.f64 x (-.f64 1 y) y) 1)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 1 y) y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) (sqrt.f64 (fma.f64 x (-.f64 1 y) y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 1 y)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) (pow.f64 y 3)) (fma.f64 (*.f64 (-.f64 1 y) x) (*.f64 (-.f64 1 y) x) (*.f64 y (-.f64 y (*.f64 (-.f64 1 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (*.f64 (-.f64 1 y) x)) (*.f64 (-.f64 1 y) (*.f64 x (*.f64 (-.f64 1 y) x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y x)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 x (*.f64 y x)) (-.f64 (-.f64 x (*.f64 y x)) y))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y x)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (-.f64 (*.f64 y x) x) (+.f64 (-.f64 y x) (*.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1 y)) (*.f64 x (-.f64 1 y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 1 y)) y))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (fma.f64 x (-.f64 1 y) y) 1)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3) 1/3)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1 y) y)) 3)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1 y) y)) 2)
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 2))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(log.f64 (exp.f64 (fma.f64 x (-.f64 1 y) y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1 y) y) 3))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1 y) y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1 y) y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)
(exp.f64 (log.f64 (fma.f64 x (-.f64 1 y) y)))
(fma.f64 x (-.f64 1 y) y)
(fma.f64 (-.f64 1 y) x y)
(fma.f64 y (-.f64 1 x) x)

eval63.0ms (2%)

Compiler

Compiled 1549 to 622 computations (59.8% saved)

prune52.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1085113
Fresh000
Picked101
Done011
Total1096115
Error
0b
Counts
115 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
29.1b
(-.f64 x (*.f64 y x))
29.1b
(*.f64 (-.f64 1 y) x)
24.7b
(*.f64 y (-.f64 1 x))
33.6b
y
38.6b
x
Compiler

Compiled 36 to 23 computations (36.1% saved)

localize11.0ms (0.4%)

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)

series7.0ms (0.2%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
(*.f64 y (-.f64 1 x))
2.0ms
y
@inf
(*.f64 y (-.f64 1 x))
1.0ms
y
@-inf
(*.f64 y (-.f64 1 x))
1.0ms
x
@-inf
(*.f64 y (-.f64 1 x))
1.0ms
x
@0
(*.f64 y (-.f64 1 x))

rewrite76.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215107
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.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 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(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 pow.f64 (*.f64 y (-.f64 1 x)) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))))))

simplify69.0ms (2.1%)

Algorithm
egg-herbie
Rules
540×log-prod_binary64
473×fma-def_binary64
372×distribute-rgt-neg-out_binary64
355×distribute-lft-neg-out_binary64
255×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054283
1131239
2394239
31971239
44823239
Stop Event
node limit
Counts
29 → 33
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 y (*.f64 y (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (*.f64 y (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))
Outputs
y
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 -1 (*.f64 y x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(-.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.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 y (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(*.f64 y (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(*.f64 y (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))
(*.f64 y (/.f64 (neg.f64 (fma.f64 x x -1)) (+.f64 x 1)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.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 y (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(*.f64 y (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 y (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(*.f64 y (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1)))
(*.f64 y (/.f64 (neg.f64 (fma.f64 x x -1)) (+.f64 x 1)))
(pow.f64 (*.f64 y (-.f64 1 x)) 1)
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))
(exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))
(+.f64 y (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) y)
(fma.f64 x (neg.f64 y) y)
(-.f64 y (*.f64 y x))

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite102.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
561×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11227
215107
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (-.f64 1 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 y) x)))))))

simplify53.0ms (1.7%)

Algorithm
egg-herbie
Rules
540×log-prod_binary64
473×fma-def_binary64
372×distribute-rgt-neg-out_binary64
366×distribute-lft-neg-out_binary64
255×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055261
1130239
2394239
31976239
44826239
Stop Event
node limit
Counts
29 → 33
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 (neg.f64 y) x))
(+.f64 x (*.f64 x (neg.f64 y)))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 y) x)) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 y)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 y) x)))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 (neg.f64 y) x))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(+.f64 x (*.f64 x (neg.f64 y)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(-.f64 (+.f64 1 (*.f64 (-.f64 1 y) x)) 1)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) x) (+.f64 1 (fma.f64 y y y)))
(/.f64 x (/.f64 (+.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)) x))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 y (fma.f64 y y 1)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (+.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 x (+.f64 y 1)) (-.f64 1 (*.f64 y y)))
(*.f64 (-.f64 1 (*.f64 y y)) (/.f64 x (+.f64 y 1)))
(/.f64 (fma.f64 x (neg.f64 (*.f64 y y)) x) (+.f64 y 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 x (/.f64 (+.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)) x))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 y (fma.f64 y y 1)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 x (+.f64 y 1)) (-.f64 1 (*.f64 y y)))
(*.f64 (-.f64 1 (*.f64 y y)) (/.f64 x (+.f64 y 1)))
(/.f64 (fma.f64 x (neg.f64 (*.f64 y y)) x) (+.f64 y 1))
(pow.f64 (*.f64 (-.f64 1 y) x) 1)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3) 1/3)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 y) x)) 3)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 y) x)) 2)
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 2))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 y)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 y) x) 3))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 y) x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 y) x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))
(exp.f64 (log.f64 (*.f64 (-.f64 1 y) x)))
(fma.f64 -1 (*.f64 x y) x)
(-.f64 x (*.f64 x y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
651×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
593×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
216547
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(-.f64 x (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2) (cbrt.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) (sqrt.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (+.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))))))

simplify65.0ms (2%)

Algorithm
egg-herbie
Rules
894×fma-neg_binary64
525×fma-def_binary64
320×times-frac_binary64
215×associate-/l*_binary64
181×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114580
1305550
21160550
35710550
Stop Event
node limit
Counts
64 → 52
Calls
Call 1
Inputs
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 x (neg.f64 y)))
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 x (-.f64 1 y))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 (-.f64 x (*.f64 x y)) 1)
(*.f64 1 (-.f64 x (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2) (cbrt.f64 (-.f64 x (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) (sqrt.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 x (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (+.f64 (neg.f64 y) 1) x)
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (+.f64 x (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 x (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(pow.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 x (*.f64 x y))))
(fma.f64 1 x (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
Outputs
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (*.f64 (*.f64 x (neg.f64 y)) 1))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (-.f64 x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 x (-.f64 1 y))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 x (*.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 1 (-.f64 x (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 2) (cbrt.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) (sqrt.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (+.f64 x (*.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (*.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) x) (+.f64 x (*.f64 y (fma.f64 y x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (+.f64 (neg.f64 y) 1) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (+.f64 x (*.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (*.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) x) (+.f64 x (*.f64 y (fma.f64 y x x))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (+.f64 x (*.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (*.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) x) (+.f64 x (*.f64 y (fma.f64 y x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (+.f64 x (*.f64 x y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x y) (+.f64 x (*.f64 x y))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (+.f64 x (*.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (*.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) x) (+.f64 x (*.f64 y (fma.f64 y x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 x (*.f64 x (neg.f64 y))))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y x) (+.f64 x (*.f64 y x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) (*.f64 x (+.f64 x (*.f64 y (fma.f64 y x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y x) 3)) x) (+.f64 x (*.f64 y (fma.f64 y x x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 x (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (-.f64 x (*.f64 x y)) 1)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3) 1/3)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 x y))) 3)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 x y))) 2)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 2))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(log.f64 (exp.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 x y)) 3))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(exp.f64 (log.f64 (-.f64 x (*.f64 x y))))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(fma.f64 1 x (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

eval23.0ms (0.7%)

Compiler

Compiled 1184 to 526 computations (55.6% saved)

prune19.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1171118
Fresh022
Picked011
Done033
Total1177124
Error
0b
Counts
124 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
29.1b
(-.f64 x (*.f64 y x))
29.1b
(*.f64 (-.f64 1 y) x)
24.7b
(*.f64 y (-.f64 1 x))
53.7b
(*.f64 y (neg.f64 x))
33.6b
y
38.6b
x
Compiler

Compiled 42 to 27 computations (35.7% saved)

localize7.0ms (0.2%)

Compiler

Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done044
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
29.1b
(-.f64 x (*.f64 y x))
29.1b
(*.f64 (-.f64 1 y) x)
24.7b
(*.f64 y (-.f64 1 x))
53.7b
(*.f64 y (neg.f64 x))
33.6b
y
38.6b
x
Compiler

Compiled 42 to 27 computations (35.7% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (+.f64 x y) (*.f64 x y))
29.1b
(-.f64 x (*.f64 y x))
29.1b
(*.f64 (-.f64 1 y) x)
24.7b
(*.f64 y (-.f64 1 x))
53.7b
(*.f64 y (neg.f64 x))
33.6b
y
38.6b
x
Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes19.0ms (0.6%)

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

3 calls:

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

Compiled 51 to 27 computations (47.1% saved)

regimes17.0ms (0.5%)

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

3 calls:

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

Compiled 45 to 24 computations (46.7% saved)

regimes41.0ms (1.3%)

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

2 calls:

27.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
6.0b2x
5.9b6y
Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch66.0ms (2.1%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
193469.5087999253
94674888.38782947
17.0ms
1.8655071569597394e-23
8.562776122704561e-14
11.0ms
4.527363475183684e-92
2.2720733653077453e-90
11.0ms
8.747305154388076e-125
4.946600790794321e-124
13.0ms
3.389689736313697e-149
1.848187602462702e-145
Results
57.0ms624×body256valid
0.0msbody256infinite
Compiler

Compiled 462 to 327 computations (29.2% saved)

regimes35.0ms (1.1%)

Counts
5 → 6
Calls
Call 1
Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
(*.f64 (-.f64 1 y) x)
Outputs
(*.f64 (-.f64 1 y) x)
y
x
y
(*.f64 (-.f64 1 y) x)
(*.f64 y (-.f64 1 x))
Calls

2 calls:

23.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
6.0b2x
5.9b6y
Compiler

Compiled 24 to 14 computations (41.7% saved)

bsearch78.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
193469.5087999253
94674888.38782947
16.0ms
1.8655071569597394e-23
8.562776122704561e-14
15.0ms
4.527363475183684e-92
2.2720733653077453e-90
9.0ms
8.747305154388076e-125
4.946600790794321e-124
13.0ms
3.389689736313697e-149
1.848187602462702e-145
Results
70.0ms624×body256valid
0.0msbody256infinite
Compiler

Compiled 462 to 345 computations (25.3% saved)

regimes41.0ms (1.3%)

Counts
4 → 5
Calls
Call 1
Inputs
x
y
(*.f64 y (neg.f64 x))
(*.f64 y (-.f64 1 x))
Outputs
(*.f64 y (neg.f64 x))
x
y
x
(*.f64 y (-.f64 1 x))
Calls

2 calls:

24.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
12.6b4x
7.1b5y
Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch82.0ms (2.6%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
4.527363475183684e-92
2.2720733653077453e-90
9.0ms
8.747305154388076e-125
4.946600790794321e-124
45.0ms
3.389689736313697e-149
1.848187602462702e-145
16.0ms
-75678786.62463115
-1.1780958015114355e-11
Results
75.0ms496×body256valid
Compiler

Compiled 320 to 236 computations (26.3% saved)

regimes38.0ms (1.2%)

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

2 calls:

20.0ms
y
16.0ms
x
Results
ErrorSegmentsBranch
13.4b5x
14.1b5y
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch84.0ms (2.6%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
1.3521520479782489e-11
326.6405707724487
13.0ms
-1.3711949321270993e-97
-2.262936210981039e-100
40.0ms
-9.74955652729655e+80
-4.381537278731548e+76
14.0ms
-9.41302705230623e+114
-2.2303705501137155e+111
Results
74.0ms544×body256valid
3.0ms34×body256infinite
Compiler

Compiled 364 to 265 computations (27.2% saved)

regimes22.0ms (0.7%)

Accuracy

Total -46.2b remaining (-291.8%)

Threshold costs -46.2b (-291.8%)

Counts
2 → 4
Calls
Call 1
Inputs
x
y
Outputs
x
y
x
y
Calls

2 calls:

14.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
16.2b2x
15.8b4y
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch53.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
4.527363475183684e-92
2.2720733653077453e-90
29.0ms
8.747305154388076e-125
4.946600790794321e-124
13.0ms
3.389689736313697e-149
1.848187602462702e-145
Results
49.0ms336×body256valid
Compiler

Compiled 182 to 135 computations (25.8% saved)

simplify12.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
cancel-sign-sub-inv_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071228
192228
2104228
3109228
4111228
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 632659752357637/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 (-.f64 1 y) x) (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 7797895294366243/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) x (if (<=.f64 y 2803840303608807/5192296858534827628530496329220096) y (if (<=.f64 y 195000) (-.f64 x (*.f64 y x)) (*.f64 y (-.f64 1 x)))))))
(if (<=.f64 y 3599131035634557/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (*.f64 (-.f64 1 y) x) (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) x (if (<=.f64 y 1298074214633707/5192296858534827628530496329220096) y (if (<=.f64 y 195000) (*.f64 (-.f64 1 y) x) (*.f64 y (-.f64 1 x)))))))
(if (<=.f64 y -1) (*.f64 y (neg.f64 x)) (if (<=.f64 y 632659752357637/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) x (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 5045696955178157/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (*.f64 y (-.f64 1 x))))))
(if (<=.f64 x -89999999999999997982768194178559740352103395851612145638952116468130608389561440778297123843329390254119226179584) x (if (<=.f64 x -42000000000000001590860518205872056614479423751160824604641861538702367559516160) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) x (if (<=.f64 x 1) y (*.f64 y (neg.f64 x))))))
(if (<=.f64 y 4639504850622671/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) x (if (<=.f64 y 4525239750366505/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) y (if (<=.f64 y 4701672162779647/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x y)))
x
Outputs
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 632659752357637/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 (-.f64 1 y) x) (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 7797895294366243/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) x (if (<=.f64 y 2803840303608807/5192296858534827628530496329220096) y (if (<=.f64 y 195000) (-.f64 x (*.f64 y x)) (*.f64 y (-.f64 1 x)))))))
(if (<=.f64 y 632659752357637/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) (*.f64 x (-.f64 1 y)) (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 7797895294366243/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) x (if (<=.f64 y 2803840303608807/5192296858534827628530496329220096) y (if (<=.f64 y 195000) (-.f64 x (*.f64 x y)) (*.f64 y (-.f64 1 x)))))))
(if (<=.f64 y 3599131035634557/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (*.f64 (-.f64 1 y) x) (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) x (if (<=.f64 y 1298074214633707/5192296858534827628530496329220096) y (if (<=.f64 y 195000) (*.f64 (-.f64 1 y) x) (*.f64 y (-.f64 1 x)))))))
(if (<=.f64 y 3599131035634557/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184) (*.f64 x (-.f64 1 y)) (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 5871356456934583/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) x (if (<=.f64 y 1298074214633707/5192296858534827628530496329220096) y (if (<=.f64 y 195000) (*.f64 x (-.f64 1 y)) (*.f64 y (-.f64 1 x)))))))
(if (<=.f64 y -1) (*.f64 y (neg.f64 x)) (if (<=.f64 y 632659752357637/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) x (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 5045696955178157/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (*.f64 y (-.f64 1 x))))))
(if (<=.f64 y -1) (*.f64 x (neg.f64 y)) (if (<=.f64 y 632659752357637/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824) x (if (<=.f64 y 8383602063836893/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) y (if (<=.f64 y 5045696955178157/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (*.f64 y (-.f64 1 x))))))
(if (<=.f64 x -89999999999999997982768194178559740352103395851612145638952116468130608389561440778297123843329390254119226179584) x (if (<=.f64 x -42000000000000001590860518205872056614479423751160824604641861538702367559516160) (*.f64 y (neg.f64 x)) (if (<=.f64 x -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) x (if (<=.f64 x 1) y (*.f64 y (neg.f64 x))))))
(if (<=.f64 x -89999999999999997982768194178559740352103395851612145638952116468130608389561440778297123843329390254119226179584) x (if (<=.f64 x -42000000000000001590860518205872056614479423751160824604641861538702367559516160) (*.f64 x (neg.f64 y)) (if (<=.f64 x -5194600426282475/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) x (if (<=.f64 x 1) y (*.f64 x (neg.f64 y))))))
(if (<=.f64 y 4639504850622671/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) x (if (<=.f64 y 4525239750366505/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616) y (if (<=.f64 y 4701672162779647/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x y)))
x
Compiler

Compiled 177 to 109 computations (38.4% saved)

soundness55.0ms (1.7%)

Algorithm
egg-herbie
Rules
249×fma-neg_binary64
179×fma-def_binary64
55×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
37×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0610
11510
23510
3699
41368
52658
65098
77778
89528
99818
109828
Stop Event
saturated
Compiler

Compiled 124 to 77 computations (37.9% saved)

end139.0ms (4.4%)

Remove

(sort x y)

Compiler

Compiled 179 to 102 computations (43% saved)

Profiling

Loading profile data...