Details

Time bar (total: 2.6s)

analyze523.0ms (20.5%)

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
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
25.8%25%71.8%0.1%3.1%0%0%9
36.4%34.3%60.1%0.1%5.5%0%0%10
44.5%41.3%51.5%0.1%7%0%0%11
51.5%46.8%44.1%0.1%9%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample890.0ms (34.8%)

Results
769.0ms8256×body256valid
108.0ms1173×body256infinite
Bogosity

preprocess82.0ms (3.2%)

Algorithm
egg-herbie
Rules
768×fma-neg_binary64
441×fma-def_binary64
175×cancel-sign-sub-inv_binary64
127×distribute-rgt-in_binary64
113×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02044
14344
28744
315144
433736
568032
6114032
7186332
8248432
9278232
10285732
11285832
12285832
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x))
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(-.f64 (fma.f64 x y z) (*.f64 y z))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x))
(fma.f64 z y (*.f64 x (-.f64 1 z)))
(fma.f64 x (-.f64 1 z) (*.f64 y z))
(fma.f64 z (fma.f64 x -1 y) x)
(fma.f64 z (-.f64 y x) x)
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))
(fma.f64 x z (*.f64 y (-.f64 1 x)))
(fma.f64 x z (-.f64 y (*.f64 x y)))
(fma.f64 x (fma.f64 y -1 z) y)
(fma.f64 x (-.f64 z y) y)
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify27.0ms (1.1%)

Algorithm
egg-herbie
Rules
346×fma-def_binary64
246×fma-neg_binary64
54×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
41×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89608
911458
1012058
1112158
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(-.f64 (fma.f64 x y z) (*.f64 x z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)

eval1.0ms (0%)

Compiler

Compiled 41 to 20 computations (51.2% saved)

prune2.0ms (0.1%)

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
0b
(fma.f64 x (-.f64 y z) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 14 computations (48.1% saved)

series13.0ms (0.5%)

Counts
2 → 60
Calls

15 calls:

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

Compiled 664 to 481 computations (27.6% saved)

rewrite59.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
476×log-prod_binary64
409×prod-exp_binary64
382×fma-def_binary64
353×exp-prod_binary64
342×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119218
2262318
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(*.f64 (-.f64 1 x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 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simplify56.0ms (2.2%)

Algorithm
egg-herbie
Rules
538×distribute-rgt-in_binary64
506×distribute-lft-in_binary64
430×unswap-sqr_binary64
312×times-frac_binary64
277×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02962214
17172170
220642156
Stop Event
node limit
Counts
182 → 164
Calls
Call 1
Inputs
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(*.f64 z (-.f64 1 x))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 -1 (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(*.f64 z (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))
(*.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))
(*.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 (-.f64 1 x) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2)) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))) (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (-.f64 1 x)) z)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1) 1))
(fma.f64 x y (*.f64 (-.f64 1 x) z))
(fma.f64 y x (*.f64 (-.f64 1 x) z))
(fma.f64 (*.f64 x y) 1 (*.f64 (-.f64 1 x) z))
(fma.f64 1 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(fma.f64 1 (*.f64 (-.f64 1 x) z) (*.f64 x y))
(fma.f64 (-.f64 1 x) z (*.f64 x y))
(fma.f64 z (-.f64 1 x) (*.f64 x y))
(fma.f64 (*.f64 (-.f64 1 x) z) 1 (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (cbrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 (-.f64 1 x) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) z) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 (-.f64 1 x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (-.f64 1 x) z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) (sqrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 x) z))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) z) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (-.f64 1 x) z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (-.f64 1 x) z))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 1 x) z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 1 x) z))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 x) z))
(fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x y))
(+.f64 z (*.f64 (neg.f64 x) z))
(+.f64 z (*.f64 z (neg.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 x) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) z))) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 x 1))
(/.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 (-.f64 1 x) z) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) z)))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) 2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) z))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 z)))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 x))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(fma.f64 1 z (*.f64 (neg.f64 x) z))
(fma.f64 1 z (*.f64 z (neg.f64 x)))
(fma.f64 z 1 (*.f64 (neg.f64 x) z))
(fma.f64 z 1 (*.f64 z (neg.f64 x)))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 x) z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))
Outputs
z
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(*.f64 (+.f64 (*.f64 -1 z) y) x)
(*.f64 (fma.f64 -1 z y) x)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y))))
(*.f64 (fma.f64 -1 z y) x)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z)
(fma.f64 (fma.f64 -1 z y) x z)
(fma.f64 (-.f64 y z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
z
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 (*.f64 -1 (*.f64 z x)) z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 -1 (*.f64 z x))
(*.f64 (neg.f64 z) x)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 z (*.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 x)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z x)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (fma.f64 (neg.f64 z) x z) 2)) (fma.f64 y x (*.f64 z (+.f64 -1 x))))
(*.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))
(fma.f64 z (-.f64 1 x) (*.f64 y x))
(fma.f64 y x (fma.f64 (neg.f64 z) x z))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 x)) (-.f64 (*.f64 z (-.f64 1 x)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z x)) 3)) (fma.f64 (-.f64 z (*.f64 z x)) (-.f64 (-.f64 z (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (fma.f64 (neg.f64 z) x z) 3)) (fma.f64 (fma.f64 (neg.f64 z) x z) (-.f64 (fma.f64 (neg.f64 z) x z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 x)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z x)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (fma.f64 (neg.f64 z) x z) 2)) (fma.f64 y x (*.f64 z (+.f64 -1 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 x)) (-.f64 (*.f64 z (-.f64 1 x)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z x)) 3)) (fma.f64 (-.f64 z (*.f64 z x)) (-.f64 (-.f64 z (*.f64 z x)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (fma.f64 (neg.f64 z) x z) 3)) (fma.f64 (fma.f64 (neg.f64 z) x z) (-.f64 (fma.f64 (neg.f64 z) x z) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 x)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z x)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (fma.f64 (neg.f64 z) x z) 2)) (fma.f64 y x (*.f64 z (+.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
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(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 0 (*.f64 (-.f64 1 x) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (neg.f64 z) x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) z))) 1)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (fma.f64 x (+.f64 x 1) 1))
(/.f64 z (/.f64 (fma.f64 x (+.f64 x 1) 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 z (fma.f64 x (+.f64 x 1) 1)) (-.f64 1 (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 x 1))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) z))
(*.f64 (/.f64 z (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(/.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 z (/.f64 (fma.f64 x (+.f64 x 1) 1) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 z (fma.f64 x (+.f64 x 1) 1)) (-.f64 1 (pow.f64 x 3)))
(/.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) z))
(*.f64 (/.f64 z (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(pow.f64 (*.f64 (-.f64 1 x) z) 1)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) z)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) 1/2)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 3)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) 2)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3) 1/3)
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 z (*.f64 z x)))) 2)) (cbrt.f64 (log.f64 (-.f64 z (*.f64 z x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (neg.f64 z) x z))) 2)) (cbrt.f64 (log.f64 (fma.f64 (neg.f64 z) x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 x))))) (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 z (*.f64 z x))))) (sqrt.f64 (log.f64 (-.f64 z (*.f64 z x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (neg.f64 z) x z)))) (sqrt.f64 (log.f64 (fma.f64 (neg.f64 z) x z))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) z)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (log.f64 (*.f64 (-.f64 1 x) z)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z))) 3))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z))) 2))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) z))) 1/3))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1) 1))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 3) 1/3))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 z)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 z) 1)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 z) 1)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 x))))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 1 z (*.f64 (neg.f64 x) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 1 z (*.f64 z (neg.f64 x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 z 1 (*.f64 (neg.f64 x) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 z 1 (*.f64 z (neg.f64 x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 x) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 x) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))
(*.f64 z (-.f64 1 x))
(-.f64 z (*.f64 z x))
(fma.f64 (neg.f64 z) x z)

localize5.0ms (0.2%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval40.0ms (1.6%)

Compiler

Compiled 2492 to 1299 computations (47.9% saved)

prune24.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1604164
Fresh000
Picked101
Done011
Total1615166
Error
0b
Counts
166 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
26.0b
(-.f64 z (*.f64 z x))
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 (-.f64 y z) x)
36.7b
(*.f64 y x)
35.2b
z
Compiler

Compiled 38 to 25 computations (34.2% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 5 computations (64.3% saved)

series9.0ms (0.3%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 (-.f64 y z) x)
1.0ms
y
@-inf
(*.f64 (-.f64 y z) x)
1.0ms
y
@0
(*.f64 (-.f64 y z) x)
1.0ms
z
@-inf
(*.f64 (-.f64 y z) x)
1.0ms
x
@inf
(*.f64 (-.f64 y z) x)
Compiler

Compiled 390 to 270 computations (30.8% saved)

rewrite40.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
725×pow1_binary64
672×add-log-exp_binary64
672×log1p-expm1-u_binary64
672×expm1-log1p-u_binary64
657×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
217847
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 y z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y z) x)))))))

simplify45.0ms (1.8%)

Algorithm
egg-herbie
Rules
646×log-prod_binary64
629×fma-def_binary64
370×associate-*l*_binary64
329×associate-*r*_binary64
247×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065327
1159327
2511327
33082327
46421327
Stop Event
node limit
Counts
43 → 30
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 -1 (*.f64 z x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(-.f64 (+.f64 1 (*.f64 (-.f64 y z) x)) 1)
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
(pow.f64 (*.f64 (-.f64 y z) x) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y z) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y z) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 y z) x)))
Outputs
(*.f64 -1 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 -1 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(*.f64 -1 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 1 (*.f64 (-.f64 y z) x)) 1)
(*.f64 x (-.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 x (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y 3) (pow.f64 z 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y y (*.f64 z (+.f64 z y)))) x)
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 y (+.f64 z y)))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))
(*.f64 x (-.f64 y z))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 x (/.f64 (fma.f64 y y (*.f64 z (+.f64 z y))) (-.f64 (pow.f64 y 3) (pow.f64 z 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 y y (*.f64 z (+.f64 z y)))) x)
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z y) (*.f64 y y))))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 y (+.f64 z y)))))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))
(*.f64 x (-.f64 y z))
(pow.f64 (*.f64 (-.f64 y z) x) 1)
(*.f64 x (-.f64 y z))
(pow.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3) 1/3)
(*.f64 x (-.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) x)) 3)
(*.f64 x (-.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) x)) 2)
(*.f64 x (-.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2))
(*.f64 x (-.f64 y z))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3))
(*.f64 x (-.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))
(*.f64 x (-.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y z) x)))
(*.f64 x (-.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y z) x)))
(*.f64 x (-.f64 y z))
(exp.f64 (log.f64 (*.f64 (-.f64 y z) x)))
(*.f64 x (-.f64 y z))

localize5.0ms (0.2%)

Compiler

Compiled 13 to 5 computations (61.5% saved)

eval5.0ms (0.2%)

Compiler

Compiled 291 to 122 computations (58.1% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New29130
Fresh011
Picked011
Done033
Total29635
Error
0b
Counts
35 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
26.0b
(-.f64 z (*.f64 z x))
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 (-.f64 y z) x)
53.4b
(*.f64 z (neg.f64 x))
36.7b
(*.f64 y x)
35.2b
z
Compiler

Compiled 45 to 30 computations (33.3% saved)

localize4.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval2.0ms (0.1%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
26.0b
(-.f64 z (*.f64 z x))
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 (-.f64 y z) x)
53.4b
(*.f64 z (neg.f64 x))
36.7b
(*.f64 y x)
35.2b
z
Compiler

Compiled 45 to 30 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
26.0b
(-.f64 z (*.f64 z x))
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
27.7b
(*.f64 (-.f64 y z) x)
53.4b
(*.f64 z (neg.f64 x))
36.7b
(*.f64 y x)
35.2b
z
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes22.0ms (0.8%)

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

4 calls:

6.0ms
y
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
5.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 60 to 33 computations (45% saved)

regimes20.0ms (0.8%)

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

4 calls:

5.0ms
y
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes58.0ms (2.3%)

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

3 calls:

22.0ms
y
19.0ms
z
15.0ms
x
Results
ErrorSegmentsBranch
12.1b3x
13.5b5y
11.7b5z
Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch60.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
2.2580619758485436e+85
3.8692774554499315e+89
16.0ms
2.63350159373066e-11
1611751.4264801445
17.0ms
1.2257532009159281e-96
1.2038326655216613e-78
10.0ms
-6.68337000111986e+21
-1.450298229351099e+21
Results
53.0ms544×body256valid
1.0ms12×body256infinite
Compiler

Compiled 630 to 421 computations (33.2% saved)

regimes110.0ms (4.3%)

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

3 calls:

70.0ms
y
28.0ms
z
11.0ms
x
Results
ErrorSegmentsBranch
12.2b3x
17.0b9y
18.2b3z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch21.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
1.0837309768533918e-15
5.320336378245714e-12
8.0ms
-4.885592608485508e-129
-1.6524165729194743e-129
Results
18.0ms208×body256valid
Compiler

Compiled 200 to 143 computations (28.5% saved)

regimes72.0ms (2.8%)

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

3 calls:

38.0ms
x
18.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
20.0b5x
22.5b5y
21.0b5z
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch72.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
1.0837309768533918e-15
5.320336378245714e-12
24.0ms
-4.885592608485508e-129
-1.6524165729194743e-129
16.0ms
-117400125672067660.0
-48940.03389873021
19.0ms
-3.8992133910829913e+96
-1.8493407017299116e+88
Results
63.0ms512×body256valid
4.0ms45×body256infinite
Compiler

Compiled 459 to 339 computations (26.1% saved)

regimes39.0ms (1.5%)

Accuracy

Total -41.1b remaining (-196.1%)

Threshold costs -41.1b (-196.1%)

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

3 calls:

16.0ms
y
14.0ms
z
8.0ms
x
Results
ErrorSegmentsBranch
21.2b3x
22.5b5y
21.0b5z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch71.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
2.2580619758485436e+85
3.8692774554499315e+89
30.0ms
2.63350159373066e-11
1611751.4264801445
16.0ms
1.2257532009159281e-96
1.2038326655216613e-78
11.0ms
-6.68337000111986e+21
-1.450298229351099e+21
Results
64.0ms544×body256valid
1.0msbody256infinite
Compiler

Compiled 426 to 319 computations (25.1% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058186
177186
287186
392186
494186
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(if (<=.f64 z -3200000000000000000000) (-.f64 z (*.f64 z x)) (if (<=.f64 z 1376710394245899/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (*.f64 (-.f64 y z) x) (if (<=.f64 z 7673845534663173/147573952589676412928) (-.f64 z (*.f64 z x)) (if (<=.f64 z 22999999999999998956156720947409322225359816265481975873186253670828005345271564206080) (*.f64 (-.f64 y z) x) (-.f64 z (*.f64 z x))))))
(if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 (-.f64 y z) x) (if (<=.f64 x 1148808356456833/39614081257132168796771975168) z (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000) (*.f64 y x) (if (<=.f64 x -2000000000000) (*.f64 z (neg.f64 x)) (if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 y x) (if (<=.f64 x 5831192761049855/2535301200456458802993406410752) z (*.f64 y x)))))
(if (<=.f64 z -2100000000000000000000) z (if (<=.f64 z 6914109363686165/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 y x) (if (<=.f64 z 820) z (if (<=.f64 z 25000000000000000365767380766871825774251074696616376481965269679244909106278705397760) (*.f64 y x) z))))
z
Outputs
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
(+.f64 (*.f64 z (-.f64 1 x)) (*.f64 x y))
(if (<=.f64 z -3200000000000000000000) (-.f64 z (*.f64 z x)) (if (<=.f64 z 1376710394245899/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (*.f64 (-.f64 y z) x) (if (<=.f64 z 7673845534663173/147573952589676412928) (-.f64 z (*.f64 z x)) (if (<=.f64 z 22999999999999998956156720947409322225359816265481975873186253670828005345271564206080) (*.f64 (-.f64 y z) x) (-.f64 z (*.f64 z x))))))
(if (<=.f64 z -3200000000000000000000) (-.f64 z (*.f64 x z)) (if (<=.f64 z 1376710394245899/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (*.f64 x (-.f64 y z)) (if (<=.f64 z 7673845534663173/147573952589676412928) (-.f64 z (*.f64 x z)) (if (<=.f64 z 22999999999999998956156720947409322225359816265481975873186253670828005345271564206080) (*.f64 x (-.f64 y z)) (-.f64 z (*.f64 x z))))))
(if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 (-.f64 y z) x) (if (<=.f64 x 1148808356456833/39614081257132168796771975168) z (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 x (-.f64 y z)) (if (<=.f64 x 1148808356456833/39614081257132168796771975168) z (*.f64 x (-.f64 y z))))
(if (<=.f64 x -1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000) (*.f64 y x) (if (<=.f64 x -2000000000000) (*.f64 z (neg.f64 x)) (if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 y x) (if (<=.f64 x 5831192761049855/2535301200456458802993406410752) z (*.f64 y x)))))
(if (<=.f64 x -1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000) (*.f64 x y) (if (<=.f64 x -2000000000000) (*.f64 z (neg.f64 x)) (if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 x y) (if (<=.f64 x 5831192761049855/2535301200456458802993406410752) z (*.f64 x y)))))
(if (<=.f64 x -1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120000) (*.f64 x y) (if (<=.f64 x -2000000000000) (*.f64 x (neg.f64 z)) (if (<=.f64 x -7492196520758381/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (*.f64 x y) (if (<=.f64 x 5831192761049855/2535301200456458802993406410752) z (*.f64 x y)))))
(if (<=.f64 z -2100000000000000000000) z (if (<=.f64 z 6914109363686165/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 y x) (if (<=.f64 z 820) z (if (<=.f64 z 25000000000000000365767380766871825774251074696616376481965269679244909106278705397760) (*.f64 y x) z))))
(if (<=.f64 z -2100000000000000000000) z (if (<=.f64 z 6914109363686165/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 x y) (if (<=.f64 z 820) z (if (<=.f64 z 25000000000000000365767380766871825774251074696616376481965269679244909106278705397760) (*.f64 x y) z))))
z
Compiler

Compiled 152 to 80 computations (47.4% saved)

soundness88.0ms (3.5%)

Algorithm
egg-herbie
Rules
346×fma-def_binary64
246×fma-neg_binary64
54×cancel-sign-sub-inv_binary64
45×distribute-rgt-in_binary64
41×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63468
75578
89608
911458
1012058
1112158
Stop Event
saturated
Compiler

Compiled 210 to 134 computations (36.2% saved)

end54.0ms (2.1%)

Compiler

Compiled 134 to 57 computations (57.5% saved)

Profiling

Loading profile data...