Details

Time bar (total: 2.3s)

analyze197.0ms (8.6%)

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
43%40.6%53.8%0.1%5.5%0%0%11
51.5%46.8%44.1%0.1%9%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample909.0ms (39.8%)

Results
783.0ms8256×body256valid
113.0ms1204×body256infinite
Bogosity

preprocess87.0ms (3.8%)

Algorithm
egg-herbie
Rules
768×fma-neg_binary64
441×fma-def_binary64
180×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
6114232
7186932
8249032
9278832
10286332
11286432
12286432
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y)))
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z)))
Outputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(fma.f64 x y (-.f64 z (*.f64 y z)))
(fma.f64 y (fma.f64 z -1 x) z)
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x)))
(fma.f64 y x (*.f64 z (-.f64 1 x)))
(fma.f64 x y (*.f64 z (-.f64 1 x)))
(fma.f64 x y (fma.f64 z (neg.f64 x) z))
(fma.f64 x (fma.f64 z -1 y) z)
(fma.f64 x (-.f64 y z) z)
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y)))
(fma.f64 z y (*.f64 x (-.f64 1 y)))
(fma.f64 x (-.f64 1 y) (*.f64 y z))
(-.f64 (fma.f64 y z x) (*.f64 x y))
(fma.f64 y (fma.f64 x -1 z) x)
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z)))
(fma.f64 x z (*.f64 y (-.f64 1 z)))
(fma.f64 x z (fma.f64 z (neg.f64 y) y))
(fma.f64 z (fma.f64 y -1 x) y)
(fma.f64 z (-.f64 x y) y)
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify28.0ms (1.2%)

Algorithm
egg-herbie
Rules
354×fma-def_binary64
246×fma-neg_binary64
54×cancel-sign-sub-inv_binary64
44×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63478
75588
89698
911548
1012148
1112248
Stop Event
saturated
Counts
1 → 6
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Outputs
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 x 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)

eval1.0ms (0%)

Compiler

Compiled 49 to 23 computations (53.1% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 21 to 13 computations (38.1% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 14 computations (48.1% saved)

series13.0ms (0.6%)

Counts
2 → 48
Calls

15 calls:

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

Compiled 664 to 481 computations (27.6% saved)

rewrite60.0ms (2.6%)

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 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (fma.f64 y (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y))))) (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (-.f64 1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y)))))))

simplify55.0ms (2.4%)

Algorithm
egg-herbie
Rules
569×distribute-rgt-in_binary64
535×distribute-lft-in_binary64
436×unswap-sqr_binary64
312×times-frac_binary64
287×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02942168
17141866
220931866
Stop Event
node limit
Counts
170 → 158
Calls
Call 1
Inputs
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
z
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 y (+.f64 (*.f64 -1 z) x))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z)))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(*.f64 z (-.f64 1 y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
z
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))
(*.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y)))
(*.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)))
(pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))
(sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 2))
(log.f64 (exp.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (-.f64 1 y)) z)))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(exp.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1) 1))
(fma.f64 x y (*.f64 z (-.f64 1 y)))
(fma.f64 y x (*.f64 z (-.f64 1 y)))
(fma.f64 (*.f64 x y) 1 (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(fma.f64 1 (*.f64 z (-.f64 1 y)) (*.f64 x y))
(fma.f64 (-.f64 1 y) z (*.f64 x y))
(fma.f64 (*.f64 z (-.f64 1 y)) 1 (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 2) (cbrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 y)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) y) (*.f64 z (-.f64 1 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 z (-.f64 1 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) z) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 z (-.f64 1 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 z (-.f64 1 y)))
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) (sqrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 x y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 y)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (-.f64 1 y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (-.f64 1 y)))
(fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (-.f64 1 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) (*.f64 x y))
(fma.f64 (*.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (-.f64 1 y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (-.f64 1 y)))
(fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 z (-.f64 1 y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (-.f64 1 y)))
(+.f64 z (*.f64 (neg.f64 y) z))
(+.f64 z (*.f64 z (neg.f64 y)))
(+.f64 0 (*.f64 z (-.f64 1 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 1 y)))) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (fma.f64 y (+.f64 y 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 y 1))
(/.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1) 1))
(/.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 y 1))
(pow.f64 (*.f64 z (-.f64 1 y)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 z (-.f64 1 y))))
(pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y))))) (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 y))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 y))))
(exp.f64 (log.f64 (*.f64 z (-.f64 1 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (-.f64 1 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 1 y)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (-.f64 1 y)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 z)))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log.f64 z) 1)))
(fma.f64 z 1 (*.f64 (neg.f64 y) z))
(fma.f64 z 1 (*.f64 z (neg.f64 y)))
(fma.f64 1 z (*.f64 (neg.f64 y) z))
(fma.f64 1 z (*.f64 z (neg.f64 y)))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 y) z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y)))
Outputs
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
z
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 y (+.f64 (*.f64 -1 z) x))
(*.f64 y (fma.f64 -1 z x))
(*.f64 y (-.f64 x z))
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z)))
(*.f64 y (fma.f64 -1 z x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z)
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
z
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(*.f64 -1 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(*.f64 -1 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(+.f64 (*.f64 -1 (*.f64 y z)) z)
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1)
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z y)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)))
(*.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y)))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))
(fma.f64 z (-.f64 1 y) (*.f64 y x))
(fma.f64 y (-.f64 x z) z)
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (fma.f64 z (-.f64 1 y) (*.f64 y (neg.f64 x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z y)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (fma.f64 z (-.f64 1 y) (*.f64 y (neg.f64 x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z y)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (fma.f64 z (-.f64 1 y) (*.f64 y (neg.f64 x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (fma.f64 z (-.f64 1 y) (*.f64 y (neg.f64 x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z y)) 2)) (-.f64 (*.f64 y x) (-.f64 z (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))
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(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 y))))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (log.f64 (*.f64 z (-.f64 1 y))))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (-.f64 1 y)))) 3))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 1 y)))) 2))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (-.f64 1 y)))) 1/3))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1) 1))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 3) 1/3))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 y)) 1)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 z)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 z) 1)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log.f64 z) 1)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z 1 (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 z 1 (*.f64 z (neg.f64 y)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 1 z (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 1 z (*.f64 z (neg.f64 y)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 y)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y)))
(*.f64 z (-.f64 1 y))
(-.f64 z (*.f64 z y))

localize6.0ms (0.2%)

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval61.0ms (2.7%)

Compiler

Compiled 2398 to 1225 computations (48.9% saved)

prune50.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1544158
Fresh000
Picked101
Done011
Total1555160
Error
0b
Counts
160 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
22.8b
(*.f64 z (-.f64 1 y))
26.4b
(*.f64 y (-.f64 x z))
40.1b
(*.f64 y x)
37.0b
z
Compiler

Compiled 38 to 26 computations (31.6% 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 y (-.f64 x z))
Compiler

Compiled 14 to 5 computations (64.3% saved)

series9.0ms (0.4%)

Counts
1 → 24
Calls

9 calls:

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

Compiled 390 to 270 computations (30.8% saved)

rewrite43.0ms (1.9%)

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

simplify52.0ms (2.3%)

Algorithm
egg-herbie
Rules
646×log-prod_binary64
617×fma-def_binary64
369×associate-*l*_binary64
332×associate-*r*_binary64
244×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066327
1162327
2511327
33091327
46423327
Stop Event
node limit
Counts
43 → 31
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(-.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) 1)
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))
(*.f64 y (-.f64 x z))
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1)
(*.f64 y (-.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 y (/.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(*.f64 (/.f64 y (fma.f64 x x (*.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) y))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))
(*.f64 y (-.f64 x z))
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 y (/.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))))
(*.f64 (/.f64 y (fma.f64 x x (*.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) y))
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))
(*.f64 y (-.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) 1)
(*.f64 y (-.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)
(*.f64 y (-.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)
(*.f64 y (-.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
(*.f64 y (-.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))
(*.f64 y (-.f64 x z))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(*.f64 y (-.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
(*.f64 y (-.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))
(*.f64 y (-.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))
(*.f64 y (-.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(*.f64 y (-.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(*.f64 y (-.f64 x z))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(*.f64 y (-.f64 x z))

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

eval18.0ms (0.8%)

Compiler

Compiled 895 to 477 computations (46.7% saved)

prune13.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New88189
Fresh011
Picked011
Done033
Total88694
Error
0b
Counts
94 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
22.8b
(*.f64 z (-.f64 1 y))
48.8b
(*.f64 z (neg.f64 y))
26.4b
(*.f64 y (-.f64 x z))
40.1b
(*.f64 y x)
37.0b
z
Compiler

Compiled 45 to 31 computations (31.1% saved)

localize4.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
22.8b
(*.f64 z (-.f64 1 y))
48.8b
(*.f64 z (neg.f64 y))
26.4b
(*.f64 y (-.f64 x z))
40.1b
(*.f64 y x)
37.0b
z
Compiler

Compiled 45 to 31 computations (31.1% 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
0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
22.8b
(*.f64 z (-.f64 1 y))
48.8b
(*.f64 z (neg.f64 y))
26.4b
(*.f64 y (-.f64 x z))
40.1b
(*.f64 y x)
37.0b
z
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes46.0ms (2%)

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

4 calls:

29.0ms
y
5.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
5.0ms
z
5.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Compiler

Compiled 60 to 34 computations (43.3% saved)

regimes22.0ms (1%)

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

4 calls:

6.0ms
y
5.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
5.0ms
z
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes61.0ms (2.7%)

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

3 calls:

32.0ms
z
16.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
15.2b3x
9.1b3y
9.7b3z
Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch32.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
4.551709039516055e-23
4.802237846475128e-15
17.0ms
-9.103614490128861e-82
-3.6007832595169526e-96
Results
29.0ms304×body256valid
Compiler

Compiled 284 to 203 computations (28.5% saved)

regimes118.0ms (5.2%)

Counts
3 → 10
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 z (neg.f64 y))
Outputs
(*.f64 y x)
(*.f64 z (neg.f64 y))
(*.f64 y x)
(*.f64 z (neg.f64 y))
(*.f64 y x)
z
(*.f64 z (neg.f64 y))
(*.f64 y x)
(*.f64 z (neg.f64 y))
(*.f64 y x)
Calls

3 calls:

48.0ms
z
44.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
27.5b5x
17.1b10y
21.2b6z
Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch164.0ms (7.2%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
1.7825686819076252e+298
4.022055335947239e+299
26.0ms
3.550760043009734e+177
2.1573048548100195e+184
15.0ms
1.1054596349671005e+60
1.1419199825814643e+63
14.0ms
0.004735271027246666
4.463822604468011
20.0ms
-9.103614490128861e-82
-3.6007832595169526e-96
7.0ms
-88611.10965150013
-45115.882244394656
21.0ms
-3.262623435309787e+58
-1.545209220098181e+39
5.0ms
-1.0153995432456919e+152
-8.936224707185502e+151
25.0ms
-2.2936745493978222e+176
-3.3611852002240356e+168
Results
108.0ms1088×body256valid
43.0ms444×body256infinite
Compiler

Compiled 992 to 733 computations (26.1% saved)

regimes29.0ms (1.3%)

Accuracy

Total -39.3b remaining (-172.1%)

Threshold costs -39.3b (-172.1%)

Counts
2 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
Outputs
(*.f64 y x)
z
(*.f64 y x)
Calls

3 calls:

11.0ms
x
9.0ms
y
8.0ms
z
Results
ErrorSegmentsBranch
29.5b3x
22.8b3y
23.7b3z
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch33.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
3.55824368267496e-37
7.552360124111095e-29
16.0ms
-9.103614490128861e-82
-3.6007832595169526e-96
Results
29.0ms304×body256valid
Compiler

Compiled 246 to 184 computations (25.2% saved)

simplify8.0ms (0.4%)

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
054169
169169
280169
386169
488169
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(if (<=.f64 y -3827688768370271/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (*.f64 y (-.f64 x z)) (if (<=.f64 y 6490371073168535/162259276829213363391578010288128) z (*.f64 y (-.f64 x z))))
(if (<=.f64 y -6500000000000000118713901303220522775787631283383966715176693991999606433240110863774141394422393853390037137291394843811729548562027511990217857184353985081885552533861040128) (*.f64 y x) (if (<=.f64 y -95000000000000000905026852490076425664410680912897289169815759542082236714937712310145665943783221909673135901900091369713324094962965625836926591303680) (*.f64 z (neg.f64 y)) (if (<=.f64 y -919999999999999936069952324572520076279808) (*.f64 y x) (if (<=.f64 y -82000) (*.f64 z (neg.f64 y)) (if (<=.f64 y -1922388332328819/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) (if (<=.f64 y 1) z (if (<=.f64 y 72000000000000002064864512213168882654526318590946070793027584) (*.f64 z (neg.f64 y)) (if (<=.f64 y 649999999999999982977116284868373508978079562725178182927039656905901067234408421277887277579608538214964907226900454335805906312414802270216696977023258755531366504279589153197260800) (*.f64 y x) (if (<=.f64 y 20500000000000000797531914892106290823804887509610907651163721556855489315815394391881739971573361173176882130544803767040061015663706379840483506248457672937611203662295811642318487208894429481963361697386075735704313731107942161903827498687390404609418753855437774713422913951528042276285914808320) (*.f64 z (neg.f64 y)) (*.f64 y x))))))))))
(if (<=.f64 y -4442853034715493/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (*.f64 y x) (if (<=.f64 y 8206674233059269/178405961588244985132285746181186892047843328) z (*.f64 y x)))
z
Outputs
(fma.f64 y (-.f64 x z) z)
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
(+.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x))
(if (<=.f64 y -3827688768370271/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (*.f64 y (-.f64 x z)) (if (<=.f64 y 6490371073168535/162259276829213363391578010288128) z (*.f64 y (-.f64 x z))))
(if (<=.f64 y -6500000000000000118713901303220522775787631283383966715176693991999606433240110863774141394422393853390037137291394843811729548562027511990217857184353985081885552533861040128) (*.f64 y x) (if (<=.f64 y -95000000000000000905026852490076425664410680912897289169815759542082236714937712310145665943783221909673135901900091369713324094962965625836926591303680) (*.f64 z (neg.f64 y)) (if (<=.f64 y -919999999999999936069952324572520076279808) (*.f64 y x) (if (<=.f64 y -82000) (*.f64 z (neg.f64 y)) (if (<=.f64 y -1922388332328819/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) (if (<=.f64 y 1) z (if (<=.f64 y 72000000000000002064864512213168882654526318590946070793027584) (*.f64 z (neg.f64 y)) (if (<=.f64 y 649999999999999982977116284868373508978079562725178182927039656905901067234408421277887277579608538214964907226900454335805906312414802270216696977023258755531366504279589153197260800) (*.f64 y x) (if (<=.f64 y 20500000000000000797531914892106290823804887509610907651163721556855489315815394391881739971573361173176882130544803767040061015663706379840483506248457672937611203662295811642318487208894429481963361697386075735704313731107942161903827498687390404609418753855437774713422913951528042276285914808320) (*.f64 z (neg.f64 y)) (*.f64 y x))))))))))
(if (<=.f64 y -6500000000000000118713901303220522775787631283383966715176693991999606433240110863774141394422393853390037137291394843811729548562027511990217857184353985081885552533861040128) (*.f64 y x) (if (<=.f64 y -95000000000000000905026852490076425664410680912897289169815759542082236714937712310145665943783221909673135901900091369713324094962965625836926591303680) (*.f64 y (neg.f64 z)) (if (<=.f64 y -919999999999999936069952324572520076279808) (*.f64 y x) (if (<=.f64 y -82000) (*.f64 y (neg.f64 z)) (if (<=.f64 y -1922388332328819/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) (if (<=.f64 y 1) z (if (<=.f64 y 72000000000000002064864512213168882654526318590946070793027584) (*.f64 y (neg.f64 z)) (if (<=.f64 y 649999999999999982977116284868373508978079562725178182927039656905901067234408421277887277579608538214964907226900454335805906312414802270216696977023258755531366504279589153197260800) (*.f64 y x) (if (<=.f64 y 20500000000000000797531914892106290823804887509610907651163721556855489315815394391881739971573361173176882130544803767040061015663706379840483506248457672937611203662295811642318487208894429481963361697386075735704313731107942161903827498687390404609418753855437774713422913951528042276285914808320) (*.f64 y (neg.f64 z)) (*.f64 y x))))))))))
(if (<=.f64 y -4442853034715493/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304) (*.f64 y x) (if (<=.f64 y 8206674233059269/178405961588244985132285746181186892047843328) z (*.f64 y x)))
z
Compiler

Compiled 136 to 70 computations (48.5% saved)

soundness59.0ms (2.6%)

Algorithm
egg-herbie
Rules
354×fma-def_binary64
246×fma-neg_binary64
54×cancel-sign-sub-inv_binary64
44×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911
11711
23011
35711
41269
52188
63478
75588
89698
911548
1012148
1112248
Stop Event
saturated
Compiler

Compiled 184 to 118 computations (35.9% saved)

end72.0ms (3.1%)

Compiler

Compiled 121 to 52 computations (57% saved)

Profiling

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