Details

Time bar (total: 8.1s)

analyze264.0ms (3.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
1.6%97.5%0.9%9
18.7%79.2%2.1%10
21.8%74.7%3.5%11
26.5%68.8%4.6%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

sample1.1s (13.9%)

Results
927.0ms8256×body256valid
183.0ms1668×body256invalid

preprocess81.0ms (1%)

Algorithm
2×egg-herbie
Rules
916×fma-def_binary64
686×div-sub_binary64
541×sub-neg_binary64
398×unsub-neg_binary64
233×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02052
13544
27744
317744
431844
567244
6132944
7274144
8579744
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) z)
(/.f64 (fma.f64 x (-.f64 z y) y) z)
(/.f64 (+.f64 z (*.f64 y (-.f64 x z))) x)
(/.f64 (fma.f64 y (-.f64 x z) z) x)
(/.f64 (+.f64 x (*.f64 z (-.f64 y x))) y)
(/.f64 (fma.f64 z (-.f64 y x) x) y)
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify136.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2060×fma-neg_binary64
385×div-sub_binary64
376×associate-/l*_binary64
327×distribute-neg-frac_binary64
317×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11211
22511
35311
410111
517511
629911
758011
8165011
9488411
10629811
11683811
12723411
13743011
14761011
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Outputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
10.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶10.6b
(/.f64 (fma.f64 y (-.f64 z x) x) z)
▶10.6b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 23 to 13 computations (43.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (-.f64 z x))
✓0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
✓9.9b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 30 to 7 computations (76.7% saved)

series14.0ms (0.2%)

Counts
3 → 96
Calls

27 calls:

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

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
506×log-prod_binary64
380×fma-def_binary64
377×exp-prod_binary64
375×pow-prod-down_binary64
266×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
118426
2285626
Stop Event
1×node limit
Counts
3 → 145
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(+.f64 x (*.f64 y (-.f64 z x)))
(*.f64 y (-.f64 z x))
Outputs
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log1p.f64 (expm1.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 z x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 z x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (*.f64 (cbrt.f64 (-.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 2) (cbrt.f64 (*.f64 y (-.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) (sqrt.f64 (*.f64 y (-.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 z z (*.f64 (neg.f64 x) x))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 z x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 z x))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 (neg.f64 x) y))))))

simplify162.0ms (2%)

Algorithm
1×egg-herbie
Rules
1914×fma-def_binary64
777×div-sub_binary64
578×fma-neg_binary64
298×sub-neg_binary64
270×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0461029
1113855
2234774
3471774
41010774
52406774
63923774
74984774
86953774
97498774
107592774
Stop Event
1×node limit
Counts
241 → 174
Calls
Call 1
Inputs
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
x
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
Outputs
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 x (+.f64 1 (neg.f64 y))) z)
(/.f64 x (/.f64 z (-.f64 1 y)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (*.f64 x (+.f64 1 (neg.f64 y))) z)
(/.f64 x (/.f64 z (-.f64 1 y)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 y (/.f64 (-.f64 z x) z))
(-.f64 y (/.f64 (*.f64 y x) z))
(*.f64 y (-.f64 1 (/.f64 x z)))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
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(-.f64 y (/.f64 (*.f64 y x) z))
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(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
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(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
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(fma.f64 (-.f64 1 y) (/.f64 x z) y)
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(/.f64 x (/.f64 z (-.f64 1 y)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 (-.f64 1 y) (/.f64 x z))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
y
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
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(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x y)
(fma.f64 (/.f64 (-.f64 1 y) z) x y)
(fma.f64 (-.f64 1 y) (/.f64 x z) y)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 (*.f64 -1 y)) x))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 -1 (*.f64 (-.f64 y 1) x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 y 1) x)))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
x
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y (-.f64 z x)) x)
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(-.f64 x (*.f64 y x))
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 y z) (+.f64 x (*.f64 -1 (*.f64 y x))))
(fma.f64 y z (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 y (-.f64 z x) x)
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓9.9b
(/.f64 (fma.f64 y (-.f64 z x) x) z)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series8.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite81.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
937×pow1_binary64
870×add-log-exp_binary64
870×log1p-expm1-u_binary64
870×expm1-log1p-u_binary64
850×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
115611
2226311
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (fma.f64 y (-.f64 z x) x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y (-.f64 z x) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (*.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (-.f64 z x) x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y (-.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) 1) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y (-.f64 z x) x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y (-.f64 z x) x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y (-.f64 z x) x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y (-.f64 z x) x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (-.f64 z x) x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 z x) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (-.f64 z x) x) z)))))))

simplify118.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
988×fma-neg_binary64
501×fma-def_binary64
355×distribute-rgt-neg-out_binary64
350×neg-sub0_binary64
337×neg-mul-1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038441
189435
2193354
3403354
4896354
52161354
63606354
75662354
87451354
Stop Event
1×node limit
Counts
67 → 46
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
Outputs
(/.f64 x z)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 y (/.f64 z (-.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 z x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 y (/.f64 z (-.f64 z x)))
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(*.f64 y (/.f64 (-.f64 z x) z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (/.f64 (*.f64 y (-.f64 z x)) z) (/.f64 x z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 x (*.f64 (neg.f64 y) x)) z)
(/.f64 (-.f64 x (*.f64 x y)) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 x (*.f64 (neg.f64 y) x)) z)
(/.f64 (-.f64 x (*.f64 x y)) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 x (*.f64 (neg.f64 y) x)) z)
(/.f64 (-.f64 x (*.f64 x y)) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(fma.f64 (-.f64 1 (/.f64 x z)) y (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(fma.f64 (/.f64 x z) (-.f64 1 y) y)

eval474.0ms (5.9%)

Compiler

Compiled 3033 to 938 computations (69.1% saved)

prune43.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New21010220
Fresh000
Picked101
Done011
Total21111222
Error
0b
Counts
222 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
10.8b
(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
10.8b
(pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)
33.2b
(*.f64 (/.f64 (-.f64 1 y) z) x)
▶41.0b
(/.f64 x z)
▶32.1b
(/.f64 (+.f64 x (/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
▶33.3b
(/.f64 (-.f64 x (*.f64 y x)) z)
40.5b
(/.f64 (*.f64 y z) z)
✓10.6b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
▶22.0b
(*.f64 (-.f64 1 (/.f64 x z)) y)
31.4b
y
▶0.1b
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
Compiler

Compiled 224 to 138 computations (38.4% saved)

localize46.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
✓0.1b
(*.f64 (-.f64 1 (/.f64 x z)) y)
Compiler

Compiled 33 to 14 computations (57.6% saved)

series10.0ms (0.1%)

Counts
2 → 57
Calls

18 calls:

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

rewrite118.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
500×log-prod_binary64
378×exp-prod_binary64
335×pow-prod-down_binary64
320×fma-def_binary64
270×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119724
2279524
Stop Event
1×node limit
Counts
2 → 118
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 x z))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 x z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 x z))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 x z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x z) 3)) y) (fma.f64 (/.f64 x z) (+.f64 1 (/.f64 x z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z x) -2)) y) (+.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (/.f64 x z) 3))) (fma.f64 (/.f64 x z) (+.f64 1 (/.f64 x z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (/.f64 z x) -2))) (+.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 x z)) y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (/.f64 (neg.f64 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (/.f64 (neg.f64 x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (/.f64 (neg.f64 x) z)))))))
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((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 x z))) 2)) (cbrt.f64 (-.f64 1 (/.f64 x z))) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 (/.f64 x z)))) (sqrt.f64 (-.f64 1 (/.f64 x z))) (/.f64 x z))))))

simplify139.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
507×fma-neg_binary64
324×fma-def_binary64
117×distribute-rgt-in_binary64
109×cancel-sign-sub-inv_binary64
97×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034659
184612
2195612
3433579
4914531
51785531
62430531
72509531
82515531
92515531
Stop Event
1×saturated
Counts
175 → 135
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(/.f64 x z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
Outputs
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(neg.f64 (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(neg.f64 (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (neg.f64 (*.f64 y x)) z)
(neg.f64 (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
y
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x)
(*.f64 x (fma.f64 -1 (/.f64 y z) (/.f64 1 z)))
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z)) x) y)
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x))
(*.f64 x (fma.f64 -1 (/.f64 y z) (/.f64 1 z)))
(*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)))
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
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(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
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(+.f64 y (*.f64 -1 (*.f64 (-.f64 (/.f64 y z) (/.f64 1 z)) x)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
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(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
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(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
y
(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
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(+.f64 y (*.f64 -1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1 x)) z)))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 x z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
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(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (/.f64 x (/.f64 z y)))
(-.f64 y (*.f64 y (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(fma.f64 (fma.f64 -1 (/.f64 y z) (/.f64 1 z)) x y)
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(-.f64 y (*.f64 (/.f64 (+.f64 y -1) z) x))
(fma.f64 x (/.f64 (-.f64 1 y) z) y)

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 1 (/.f64 x z)) y)
Compiler

Compiled 22 to 10 computations (54.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 y x))
✓4.4b
(/.f64 (-.f64 x (*.f64 y x)) z)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

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

rewrite142.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
865×prod-diff_binary64
478×log-prod_binary64
281×pow-prod-down_binary64
239×fma-def_binary64
231×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116117
2250117
Stop Event
1×node limit
Counts
2 → 383
Calls
Call 1
Inputs
(/.f64 (-.f64 x (*.f64 y x)) z)
(-.f64 x (*.f64 y x))
Outputs
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(neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y x)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 y 1) x (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 y 1) x (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 y 1) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x) x)))))

simplify71.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
798×fma-def_binary64
286×fma-neg_binary64
91×cancel-sign-sub-inv_binary64
81×distribute-rgt-in_binary64
80×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021392
143392
283392
3169392
4331392
5632392
61406392
71852392
82378392
92396392
Stop Event
1×saturated
Counts
431 → 397
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(+.f64 x (*.f64 -1 (*.f64 y x)))
Outputs
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (*.f64 (neg.f64 y) x) z)
(/.f64 (*.f64 y (neg.f64 x)) z)
(/.f64 y (/.f64 z (neg.f64 x)))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(/.f64 (*.f64 (neg.f64 y) x) z)
(/.f64 (*.f64 y (neg.f64 x)) z)
(/.f64 y (/.f64 z (neg.f64 x)))
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 y)) z)
(/.f64 (fma.f64 x (neg.f64 y) x) z)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 (+.f64 1 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(+.f64 x (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓4.0b
(fma.f64 z z (*.f64 (neg.f64 x) x))
✓5.9b
(*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y)
✓9.9b
(/.f64 (+.f64 x (/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
✓16.7b
(/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))
Compiler

Compiled 76 to 11 computations (85.5% saved)

series23.0ms (0.3%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
5.0ms
z
@0
(/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))
1.0ms
y
@0
(/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))
1.0ms
x
@0
(/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))
1.0ms
z
@-inf
(/.f64 (+.f64 x (/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
1.0ms
z
@inf
(/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))

rewrite91.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
712×log-prod_binary64
485×fma-def_binary64
315×fma-neg_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01267
127555
2437835
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))
(/.f64 (+.f64 x (/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
(*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y)
(fma.f64 z z (*.f64 (neg.f64 x) x))
Outputs
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egg-rr> (2) ((x *.f64 (+.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)) (/.f64 -1 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 z x) y)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z x) y)) 2) (cbrt.f64 (*.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 y)) (*.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 y)) (/.f64 -1 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 z x) y)) (sqrt.f64 (*.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) (neg.f64 y)) (/.f64 1 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 x z)) (*.f64 (pow.f64 (hypot.f64 z x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) 1) (/.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 y)) 1) (/.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 y)) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (/.f64 y (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (/.f64 (pow.f64 (hypot.f64 z x) 2) (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule 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x) 2) y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z x) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (+.f64 z x) y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 z x) y x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (+.f64 z x) y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y x)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) (sqrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 (+.f64 z x) y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (+.f64 z x) y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y x)) 1) (/.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 (+.f64 z x) y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 (+.f64 z x) y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 (+.f64 z x) y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 (+.f64 z x) y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (+.f64 z x) y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 z x) y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 z x) y x) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 z x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)) y)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 z x) 2) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z z) (*.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z z) y (*.f64 (*.f64 x x) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z z) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 z x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 z x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 z x) (hypot.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (*.f64 x x) 3)) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 z z) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 z z) (*.f64 z z) (*.f64 x (pow.f64 x 3))) (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 z x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 z x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 z z)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 z z)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z z)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (exp.f64 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 z x) 2)) 1))))))

simplify82.0ms (1%)

Algorithm
1×egg-herbie
Rules
752×fma-neg_binary64
570×times-frac_binary64
485×associate-/l*_binary64
469×fma-def_binary64
386×div-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0621895
11731692
24031572
312051572
459001338
Stop Event
1×node limit
Counts
269 → 176
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
y
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
y
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 z (+.f64 z x)))) (/.f64 z (+.f64 z x)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 z (+.f64 z x)))) (/.f64 z (+.f64 z x)))) (/.f64 x z))
(+.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 z (+.f64 z x)))) (/.f64 z (+.f64 z x)))) (/.f64 x z))
(/.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 z x))) (/.f64 (pow.f64 z 2) (+.f64 z x)))) z)
(+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 z x))) (/.f64 (pow.f64 z 2) (+.f64 z x)))) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 z x))) (/.f64 (pow.f64 z 2) (+.f64 z x)))) z) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (+.f64 z x))) (/.f64 (pow.f64 z 2) (+.f64 z x)))) z) (/.f64 x z))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (*.f64 z (+.f64 z x)))
(+.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (*.f64 z (+.f64 z x))) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (*.f64 z (+.f64 z x))) (/.f64 x z))
(+.f64 (/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (*.f64 z (+.f64 z x))) (/.f64 x z))
(*.f64 -1 (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(+.f64 (*.f64 -1 (*.f64 y (pow.f64 x 2))) (*.f64 y (pow.f64 z 2)))
(*.f64 -1 (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(*.f64 -1 (*.f64 y (pow.f64 x 2)))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(+.f64 (*.f64 y (pow.f64 z 2)) (*.f64 -1 (*.f64 y (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))
Outputs
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(fma.f64 y z (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y z) (*.f64 y x))
(*.f64 y (-.f64 z x))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2)))) (+.f64 z x))
(/.f64 (*.f64 y (+.f64 (*.f64 z z) (neg.f64 (*.f64 x x)))) (+.f64 x z))
(*.f64 (/.f64 y (+.f64 x z)) (-.f64 (*.f64 z z) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (/.f64 y (+.f64 x z)))
(*.f64 y (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (+.f64 x z)))
(/.f64 y (/.f64 1 (-.f64 z x)))
y
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 (-.f64 (/.f64 1 z) (/.f64 y z)) x))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (/.f64 (*.f64 (+.f64 1 (*.f64 -1 y)) x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z))
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 y (*.f64 -1 (/.f64 (*.f64 (-.f64 y 1) x) z)))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 (+.f64 x (*.f64 -1 (*.f64 y x))) z)
(/.f64 (+.f64 1 (neg.f64 y)) (/.f64 z x))
(*.f64 (/.f64 (-.f64 1 y) z) x)
(*.f64 x (/.f64 (-.f64 1 y) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (+.f64 y (/.f64 x z)))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
y
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
y
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
(+.f64 y (*.f64 x (-.f64 (/.f64 1 z) (/.f64 y z))))
(fma.f64 x (-.f64 (/.f64 1 z) (/.f64 y z)) y)
(fma.f64 x (/.f64 (-.f64 1 y) z) y)
(/.f64 x z)
(+.f64 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 z (+.f64 z x)))) (/.f64 z (+.f64 z x)))) (/.f64 x z))
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eval367.0ms (4.5%)

Compiler

Compiled 18227 to 6474 computations (64.5% saved)

prune122.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New7468754
Fresh325
Picked101
Done235
Total75213765
Error
0b
Counts
765 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.0b
(/.f64 x z)
53.1b
(*.f64 y (/.f64 (neg.f64 x) z))
31.4b
y
19.5b
(pow.f64 (/.f64 z (fma.f64 (+.f64 z x) y x)) -1)
▶22.0b
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
▶9.8b
(+.f64 y (/.f64 x z))
✓22.0b
(*.f64 (-.f64 1 (/.f64 x z)) y)
▶18.9b
(/.f64 (+.f64 x (*.f64 y z)) z)
✓33.3b
(/.f64 (-.f64 x (*.f64 y x)) z)
33.2b
(*.f64 (/.f64 (-.f64 1 y) z) x)
▶40.5b
(/.f64 (*.f64 y z) z)
▶54.7b
(/.f64 (*.f64 x (neg.f64 y)) z)
33.4b
(*.f64 (/.f64 1 z) (-.f64 x (*.f64 x y)))
Compiler

Compiled 212 to 138 computations (34.9% saved)

localize5.0ms (0.1%)

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)

series2.0ms (0%)

Counts
1 → 9
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 y (/.f64 x z))
0.0ms
x
@-inf
(+.f64 y (/.f64 x z))
0.0ms
y
@-inf
(+.f64 y (/.f64 x z))
0.0ms
z
@-inf
(+.f64 y (/.f64 x z))
0.0ms
x
@0
(+.f64 y (/.f64 x z))

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
808×pow1_binary64
752×add-log-exp_binary64
752×log1p-expm1-u_binary64
752×expm1-log1p-u_binary64
735×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219917
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 y (/.f64 x z))
Outputs
((#(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 y y) (-.f64 y (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) 2) (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (/.f64 x z))) (cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y (/.f64 x z)) 2)) (cbrt.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (/.f64 x z))) (sqrt.f64 (+.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (/.f64 1 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)) (/.f64 1 (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))) (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 (*.f64 y y) (*.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)) (-.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))) (neg.f64 (-.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) (*.f64 y y)) (-.f64 (/.f64 x z) y))))) (#(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 (exp.f64 (+.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 x z))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0521
Stop Event
1×saturated
Counts
43 → 36
Calls
Call 1
Inputs
(/.f64 x z)
y
y
y
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
y
y
Outputs
(/.f64 x z)
y
y
y
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
y
y

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.0b
(/.f64 (*.f64 y z) z)
Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
513×pow1_binary64
489×add-sqr-sqrt_binary64
478×add-log-exp_binary64
478×log1p-expm1-u_binary64
478×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11061
215491
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 (*.f64 y z) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 y z) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 y z) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) 1) (/.f64 (sqrt.f64 (*.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 z (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y z) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
1×saturated
Counts
61 → 38
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.6b
(/.f64 (*.f64 x (neg.f64 y)) z)
Compiler

Compiled 18 to 6 computations (66.7% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(/.f64 (*.f64 x (neg.f64 y)) z)
1.0ms
x
@0
(/.f64 (*.f64 x (neg.f64 y)) z)
1.0ms
y
@0
(/.f64 (*.f64 x (neg.f64 y)) z)
1.0ms
x
@inf
(/.f64 (*.f64 x (neg.f64 y)) z)
1.0ms
z
@0
(/.f64 (*.f64 x (neg.f64 y)) z)

rewrite55.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
221717
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 x (neg.f64 y)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 2) (cbrt.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x z) y)) (sqrt.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 x y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (*.f64 x y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) y)))))))

simplify28.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
77 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 y z))
✓9.0b
(/.f64 (+.f64 x (*.f64 y z)) z)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite65.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1_binary64
853×add-log-exp_binary64
853×log1p-expm1-u_binary64
853×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115413
2226213
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 y z)) z)
(+.f64 x (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 y z x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (*.f64 (cbrt.f64 (fma.f64 y z x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 2) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (*.f64 (sqrt.f64 (fma.f64 y z x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y z x) z)) (sqrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y z x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y z x)) 1) (/.f64 (sqrt.f64 (fma.f64 y z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (fma.f64 y z x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (fma.f64 y z x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 y z x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 y z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y z x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y z x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (fma.f64 y z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y z x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y z x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y z x) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))))))

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×fma-def_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08369
112369
213369
Stop Event
1×saturated
Counts
138 → 72
Calls
Call 1
Inputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
Outputs
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 z (-.f64 z x))
✓0.1b
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
Compiler

Compiled 31 to 11 computations (64.5% saved)

series14.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(/.f64 z (-.f64 z x))
1.0ms
y
@-inf
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
1.0ms
z
@0
(/.f64 z (-.f64 z x))
1.0ms
y
@0
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
1.0ms
z
@inf
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
480×log-prod_binary64
395×prod-diff_binary64
366×exp-prod_binary64
273×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
119717
2263717
Stop Event
1×node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
(/.f64 z (-.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (/.f64 x z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (/.f64 x z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1 (/.f64 x z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) 2) (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) (sqrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (/.f64 z (-.f64 z x))) (/.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y (/.f64 1 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) z) (/.f64 (cbrt.f64 y) (/.f64 1 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 1 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 z (-.f64 z x))) (/.f64 (cbrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) -2) (/.f64 y (cbrt.f64 (/.f64 z (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) 2)) (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 y (-.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 z (-.f64 z x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (*.f64 y (-.f64 z x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z))))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 z) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 (/.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (/.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 z (-.f64 z x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 1 (/.f64 x z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 1 (/.f64 x z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 y (-.f64 z x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1 (/.f64 x z)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 z (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (-.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (/.f64 1 (-.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) 2) (cbrt.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (-.f64 z x))) (sqrt.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 z x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) -2) (/.f64 z (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (cbrt.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 z x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 z x) -1/2) (/.f64 z (sqrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 z x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (+.f64 z x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 z x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 z x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 z (-.f64 z x))))) (sqrt.f64 (log.f64 (/.f64 z (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (neg.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 z (-.f64 z x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 z (-.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z (-.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (/.f64 x z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (-.f64 z x))) 1) 1))))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
838×fma-neg_binary64
795×associate-/l*_binary64
537×associate-/r*_binary64
526×associate-*l/_binary64
438×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044828
1131792
2394702
31617690
Stop Event
1×node limit
Counts
163 → 124
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(*.f64 -1 (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 z x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (*.f64 -1 (/.f64 z x)))))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z))))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z))))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z))))
(*.f64 -1 (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 z x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (*.f64 -1 (/.f64 z x)))))
(*.f64 -1 (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 z x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (*.f64 -1 (/.f64 z x)))))
Outputs
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 y (-.f64 z x)) z)
(*.f64 (/.f64 y z) (-.f64 z x))
(*.f64 (-.f64 z x) (/.f64 y z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
y
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) y)
(fma.f64 -1 (/.f64 y (/.f64 z x)) y)
(-.f64 y (*.f64 (/.f64 y z) x))
(-.f64 y (*.f64 x (/.f64 y z)))
(*.f64 -1 (/.f64 z x))
(neg.f64 (/.f64 z x))
(/.f64 (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 z x)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (/.f64 z x)))
(-.f64 (/.f64 (neg.f64 z) x) (*.f64 (/.f64 z x) (/.f64 z x)))
(*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 z x))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 z x))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x))) (pow.f64 (/.f64 z x) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (*.f64 -1 (/.f64 z x)))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4)) (neg.f64 (/.f64 z x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (-.f64 (*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x))) (pow.f64 (/.f64 z x) 3)) (/.f64 (pow.f64 z 4) (pow.f64 x 4)))
(neg.f64 (*.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 z x)) 1) (*.f64 (+.f64 (/.f64 z x) 1) (/.f64 z x))))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z z))) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
(+.f64 (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 1 (/.f64 x z)))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)) (pow.f64 (/.f64 x z) 3)))
(+.f64 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)) (+.f64 1 (pow.f64 (/.f64 x z) 3)))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z z))) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
(+.f64 (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 1 (/.f64 x z)))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)) (pow.f64 (/.f64 x z) 3)))
(+.f64 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)) (+.f64 1 (pow.f64 (/.f64 x z) 3)))
1
(+.f64 1 (/.f64 x z))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z z))))
(+.f64 1 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (/.f64 x z))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 2)) (/.f64 x z))))
(+.f64 1 (+.f64 (+.f64 (/.f64 x z) (/.f64 (*.f64 x x) (*.f64 z z))) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
(+.f64 (+.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 1 (/.f64 x z)))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)) (pow.f64 (/.f64 x z) 3)))
(+.f64 (*.f64 (+.f64 1 (/.f64 x z)) (/.f64 x z)) (+.f64 1 (pow.f64 (/.f64 x z) 3)))
(*.f64 -1 (/.f64 z x))
(neg.f64 (/.f64 z x))
(/.f64 (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 z x)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (/.f64 z x)))
(-.f64 (/.f64 (neg.f64 z) x) (*.f64 (/.f64 z x) (/.f64 z x)))
(*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 z x))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 z x))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x))) (pow.f64 (/.f64 z x) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (*.f64 -1 (/.f64 z x)))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4)) (neg.f64 (/.f64 z x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (-.f64 (*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x))) (pow.f64 (/.f64 z x) 3)) (/.f64 (pow.f64 z 4) (pow.f64 x 4)))
(neg.f64 (*.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 z x)) 1) (*.f64 (+.f64 (/.f64 z x) 1) (/.f64 z x))))
(*.f64 -1 (/.f64 z x))
(neg.f64 (/.f64 z x))
(/.f64 (neg.f64 z) x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 z x)))
(*.f64 -1 (+.f64 (/.f64 (*.f64 z z) (*.f64 x x)) (/.f64 z x)))
(-.f64 (/.f64 (neg.f64 z) x) (*.f64 (/.f64 z x) (/.f64 z x)))
(*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 z x))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 z x))))
(-.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x))) (pow.f64 (/.f64 z x) 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (*.f64 -1 (/.f64 z x)))))
(fma.f64 -1 (/.f64 (*.f64 z z) (*.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 z 4) (pow.f64 x 4)) (neg.f64 (/.f64 z x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) x) (/.f64 (pow.f64 z 4) (pow.f64 x 4))) (/.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (/.f64 z x) (/.f64 z x)))
(-.f64 (-.f64 (*.f64 (/.f64 z x) (-.f64 -1 (/.f64 z x))) (pow.f64 (/.f64 z x) 3)) (/.f64 (pow.f64 z 4) (pow.f64 x 4)))
(neg.f64 (*.f64 (+.f64 (*.f64 (/.f64 z x) (/.f64 z x)) 1) (*.f64 (+.f64 (/.f64 z x) 1) (/.f64 z x))))

eval105.0ms (1.3%)

Compiler

Compiled 3699 to 1524 computations (58.8% saved)

prune103.0ms (1.3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New3085313
Fresh415
Picked101
Done077
Total31313326
Error
0b
Counts
326 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓54.7b
(/.f64 (*.f64 x (neg.f64 y)) z)
▶30.4b
(/.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))
▶53.1b
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
✓9.8b
(+.f64 y (/.f64 x z))
✓22.0b
(*.f64 (-.f64 1 (/.f64 x z)) y)
✓41.0b
(/.f64 x z)
▶54.7b
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
✓18.9b
(/.f64 (+.f64 x (*.f64 y z)) z)
✓33.3b
(/.f64 (-.f64 x (*.f64 y x)) z)
▶33.2b
(*.f64 (/.f64 (-.f64 1 y) z) x)
✓40.5b
(/.f64 (*.f64 y z) z)
31.4b
y
▶54.6b
(*.f64 (neg.f64 x) (/.f64 y z))
Compiler

Compiled 187 to 124 computations (33.7% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 y (/.f64 x z))
✓0.2b
(/.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))
✓0.3b
(pow.f64 (/.f64 x z) 2)
✓23.2b
(/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)))
Compiler

Compiled 65 to 23 computations (64.6% saved)

series43.0ms (0.5%)

Counts
4 → 132
Calls

33 calls:

TimeVariablePointExpression
11.0ms
z
@inf
(/.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))
2.0ms
x
@inf
(/.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))
2.0ms
x
@inf
(pow.f64 (/.f64 x z) 2)
2.0ms
y
@0
(/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)))
1.0ms
y
@inf
(/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)))

rewrite154.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
736×log-prod_binary64
445×fma-def_binary64
253×expm1-udef_binary64
253×log1p-udef_binary64
235×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
129931
2439531
Stop Event
1×node limit
Counts
4 → 283
Calls
Call 1
Inputs
(/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2)))
(pow.f64 (/.f64 x z) 2)
(/.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))
(-.f64 y (/.f64 x z))
Outputs
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simplify131.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
664×times-frac_binary64
659×distribute-neg-frac_binary64
434×sub-neg_binary64
371×distribute-rgt-neg-in_binary64
343×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0531758
11491658
25411599
339201523
460941523
Stop Event
1×node limit
Counts
415 → 304
Calls
Call 1
Inputs
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (*.f64 -1 (/.f64 x z)))
Outputs
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 z x) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x))) (/.f64 (*.f64 (*.f64 (pow.f64 z 3) y) y) (pow.f64 x 3)))
(+.f64 (/.f64 z x) (-.f64 (/.f64 y (/.f64 (pow.f64 (/.f64 x z) 3) y)) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x)))))
(+.f64 (/.f64 z x) (*.f64 (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(+.f64 (/.f64 z x) (*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 z 4))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(+.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x))) (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z 3) y) y) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 z 4)))))
(+.f64 (/.f64 z x) (-.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 (/.f64 x z) 3) y)) (*.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x)))))
(+.f64 (/.f64 z x) (-.f64 (*.f64 (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))) (+.f64 -1 (/.f64 y (/.f64 x z)))) (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 4))))
(+.f64 (-.f64 (/.f64 z x) (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 4))) (*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y)))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z))))
(-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 z (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))))
(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))) (neg.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 z 3) (pow.f64 y 4))))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 y 4))))
(-.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(+.f64 (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y)))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z))))
(-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 z (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))))
(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))) (neg.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 z 3) (pow.f64 y 4))))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 y 4))))
(-.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(+.f64 (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y)))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z))))
(-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 z (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))))
(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))) (neg.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 z 3) (pow.f64 y 4))))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 y 4))))
(-.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(+.f64 (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 z x) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x))) (/.f64 (*.f64 (*.f64 (pow.f64 z 3) y) y) (pow.f64 x 3)))
(+.f64 (/.f64 z x) (-.f64 (/.f64 y (/.f64 (pow.f64 (/.f64 x z) 3) y)) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x)))))
(+.f64 (/.f64 z x) (*.f64 (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(+.f64 (/.f64 z x) (*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 z 4))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(+.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x))) (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 z 3) y) y) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 z 4)))))
(+.f64 (/.f64 z x) (-.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 (/.f64 x z) 3) y)) (*.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x)))))
(+.f64 (/.f64 z x) (-.f64 (*.f64 (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))) (+.f64 -1 (/.f64 y (/.f64 x z)))) (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 4))))
(+.f64 (-.f64 (/.f64 z x) (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 4))) (*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 z x) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
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(/.f64 z x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (/.f64 z x))
(fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x)))
(-.f64 (/.f64 z x) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))))
(-.f64 (/.f64 z x) (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 z x) (*.f64 (/.f64 y x) (/.f64 (*.f64 z z) x))) (/.f64 (*.f64 (*.f64 (pow.f64 z 3) y) y) (pow.f64 x 3)))
(+.f64 (/.f64 z x) (-.f64 (/.f64 y (/.f64 (pow.f64 (/.f64 x z) 3) y)) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x)))))
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(+.f64 (/.f64 z x) (*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 2))) (+.f64 (/.f64 z x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 4)) (pow.f64 x 4))) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 3)) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (*.f64 z z)) (*.f64 x x)) (/.f64 z x)) (fma.f64 -1 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 z 4))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 z 3)))))
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(+.f64 (/.f64 z x) (-.f64 (-.f64 (/.f64 y (/.f64 (pow.f64 (/.f64 x z) 3) y)) (*.f64 (pow.f64 z 4) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x)))))
(+.f64 (/.f64 z x) (-.f64 (*.f64 (/.f64 (*.f64 z y) (/.f64 x (/.f64 z x))) (+.f64 -1 (/.f64 y (/.f64 x z)))) (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 4))))
(+.f64 (-.f64 (/.f64 z x) (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 4))) (*.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 z x))) z) (+.f64 -1 (/.f64 y (/.f64 x z)))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y)))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z))))
(-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 z (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))))
(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))) (neg.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 z 3) (pow.f64 y 4))))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 y 4))))
(-.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(+.f64 (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 z (*.f64 y y)))))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z))))
(-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 z (*.f64 y y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))))
(fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y)))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (*.f64 (pow.f64 y 2) z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 3) (pow.f64 z 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 4) (pow.f64 z 3)))))))
(+.f64 (/.f64 1 y) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (*.f64 z z) (pow.f64 y 3)))) (neg.f64 (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 z 3) (pow.f64 y 4))))))
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y (*.f64 y z)))) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3))) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 y 4))))
(-.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 x z) y) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4)))
(+.f64 (/.f64 1 y) (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x z) y) y) (+.f64 -1 (/.f64 (/.f64 x z) y))) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(+.f64 (*.f64 (/.f64 x (*.f64 z (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 x z) y))) (-.f64 (/.f64 1 y) (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 4))))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 (pow.f64 x 2) (pow.f64 z 2))
(/.f64 (*.f64 x x) (*.f64 z z))
(*.f64 (/.f64 x z) (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(/.f64 x z)
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
y
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(+.f64 y (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
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(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
y
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))
(+.f64 y (*.f64 -1 (/.f64 x z)))
(+.f64 y (neg.f64 (/.f64 x z)))
(-.f64 y (/.f64 x z))

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.4b
(*.f64 (neg.f64 x) (/.f64 y z))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series8.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 (neg.f64 x) (/.f64 y z))
1.0ms
x
@0
(*.f64 (neg.f64 x) (/.f64 y z))
0.0ms
y
@inf
(*.f64 (neg.f64 x) (/.f64 y z))
0.0ms
z
@-inf
(*.f64 (neg.f64 x) (/.f64 y z))
0.0ms
y
@-inf
(*.f64 (neg.f64 x) (/.f64 y z))

rewrite66.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
713×pow1_binary64
658×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
643×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
220837
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (/.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y z))))))))

simplify27.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
60 → 26
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))

localize287.0ms (3.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 y) z)
✓2.6b
(*.f64 (/.f64 (-.f64 1 y) z) x)
Compiler

Compiled 22 to 13 computations (40.9% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

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

rewrite267.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
980×pow1_binary64
911×add-log-exp_binary64
911×log1p-expm1-u_binary64
911×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2234917
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 y) z) x)
(/.f64 (-.f64 1 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 y) x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 y) x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 y)) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 y) z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 y) z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 y) z) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 z) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 2) (cbrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 y) z)) (sqrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 1 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 1 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) 1) (/.f64 (sqrt.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 1 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 1 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 1 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 y) z)))))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
659×fma-def_binary64
273×fma-neg_binary64
89×cancel-sign-sub-inv_binary64
87×distribute-rgt-in_binary64
75×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018599
139557
276530
3134431
4284431
5524431
61167431
71819431
82204431
92264431
Stop Event
1×saturated
Counts
106 → 68
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 (*.f64 (-.f64 1 y) x) z)
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x z)) y)
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 y) (/.f64 z x))
(*.f64 (/.f64 y z) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x z)) y)
(*.f64 y (/.f64 (neg.f64 x) z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) z)) (/.f64 x z))
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) x) z)
(fma.f64 -1 (/.f64 y (/.f64 z x)) (/.f64 x z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 y z) x))
(-.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
(/.f64 (fma.f64 y (neg.f64 x) x) z)
(*.f64 (/.f64 x z) (-.f64 1 y))
(/.f64 1 z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 1 z))
(fma.f64 -1 (/.f64 y z) (/.f64 1 z))
(-.f64 (/.f64 1 z) (/.f64 y z))
(/.f64 (-.f64 1 y) z)

localize164.0ms (2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.7b
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
Compiler

Compiled 24 to 11 computations (54.2% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite214.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
771×pow1_binary64
710×add-log-exp_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
694×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099
11827
223457
Stop Event
1×node limit
Counts
1 → 27
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 z (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x y)) (/.f64 z (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) 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 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (/.f64 (pow.f64 z -2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (*.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 z y))))))))

simplify31.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
63 → 29
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.8b
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
Compiler

Compiled 27 to 11 computations (59.3% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
773×pow1_binary64
715×add-log-exp_binary64
715×log1p-expm1-u_binary64
715×expm1-log1p-u_binary64
699×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099
11897
224707
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (cbrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (/.f64 z x)) (/.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) z) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (/.f64 z x)) (/.f64 (cbrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 y (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z x))) (/.f64 y (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (neg.f64 x))))) (#(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 pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 x z)))))) (#(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 z x) 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))))))))

simplify32.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
74 → 40
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(*.f64 -1 (/.f64 (*.f64 y x) z))
Outputs
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))
(*.f64 -1 (/.f64 (*.f64 y x) z))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 y x)) z)
(*.f64 (neg.f64 (/.f64 y z)) x)
(*.f64 x (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 x z)))

eval126.0ms (1.6%)

Compiler

Compiled 8425 to 3509 computations (58.4% saved)

prune305.0ms (3.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New4634467
Fresh101
Picked101
Done2911
Total46713480
Error
0b
Counts
480 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
(/.f64 (-.f64 1 y) (/.f64 z x))
✓18.9b
(/.f64 (+.f64 x (*.f64 y z)) z)
✓54.7b
(/.f64 (*.f64 x (neg.f64 y)) z)
10.0b
(/.f64 1 (+.f64 0 (/.f64 1 (+.f64 y (/.f64 x z)))))
✓9.8b
(+.f64 y (/.f64 x z))
✓22.0b
(*.f64 (-.f64 1 (/.f64 x z)) y)
✓41.0b
(/.f64 x z)
✓54.7b
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
41.1b
(/.f64 1 (/.f64 z x))
✓33.2b
(*.f64 (/.f64 (-.f64 1 y) z) x)
31.4b
y
✓40.5b
(/.f64 (*.f64 y z) z)
✓54.6b
(*.f64 (neg.f64 x) (/.f64 y z))
Compiler

Compiled 117 to 81 computations (30.8% saved)

regimes124.0ms (1.5%)

Counts
29 → 1
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(/.f64 (-.f64 x (*.f64 y x)) z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
(*.f64 (/.f64 1 z) (-.f64 x (*.f64 x y)))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 1 (+.f64 0 (/.f64 1 (+.f64 y (/.f64 x z)))))
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
(/.f64 1 (/.f64 (-.f64 y (/.f64 x z)) (-.f64 (*.f64 y y) (pow.f64 (/.f64 x z) 2))))
(/.f64 (+.f64 x (/.f64 (*.f64 (fma.f64 z z (*.f64 (neg.f64 x) x)) y) (+.f64 x z))) z)
(pow.f64 (/.f64 z (fma.f64 (+.f64 z x) y x)) -1)
(pow.f64 (/.f64 z (fma.f64 y (-.f64 z x) x)) -1)
Outputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
Calls

4 calls:

30.0ms
z
28.0ms
x
26.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
26.0ms
y
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 239 to 108 computations (54.8% saved)

regimes176.0ms (2.2%)

Counts
22 → 3
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(/.f64 (-.f64 x (*.f64 y x)) z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
(*.f64 (/.f64 1 z) (-.f64 x (*.f64 x y)))
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 1 (+.f64 0 (/.f64 1 (+.f64 y (/.f64 x z)))))
Outputs
(*.f64 (-.f64 1 (/.f64 x z)) y)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
Calls

4 calls:

52.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
47.0ms
z
38.0ms
x
30.0ms
y
Results
ErrorSegmentsBranch
6.8b4x
0.1b3y
2.0b3z
0.1b3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 156 to 76 computations (51.3% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
747068185578.2307
1749838148871044.0
18.0ms
-9.831119211621796e+69
-3.433046149408617e+68
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes89.0ms (1.1%)

Counts
20 → 3
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(/.f64 (-.f64 x (*.f64 y x)) z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
(*.f64 (/.f64 1 z) (-.f64 x (*.f64 x y)))
Outputs
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 y (/.f64 x z))
(/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))
Calls

3 calls:

37.0ms
z
28.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
8.6b2x
0.7b3y
7.6b3z
Compiler

Compiled 124 to 60 computations (51.6% saved)

bsearch46.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
4.365638802761727e-13
1.3575142040654742e-8
19.0ms
-1.9246444292598104
-0.029835300340177617
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes108.0ms (1.3%)

Counts
18 → 3
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(/.f64 (-.f64 x (*.f64 y x)) z)
(*.f64 (-.f64 1 (/.f64 x z)) y)
(/.f64 y (*.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 (*.f64 x y) (/.f64 1 (neg.f64 z)))
Outputs
(*.f64 (-.f64 1 (/.f64 x z)) y)
(+.f64 y (/.f64 x z))
(*.f64 (-.f64 1 (/.f64 x z)) y)
Calls

3 calls:

58.0ms
z
27.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
8.6b2x
0.8b3y
7.6b3z
Compiler

Compiled 106 to 51 computations (51.9% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
4.365638802761727e-13
1.3575142040654742e-8
19.0ms
-1.9246444292598104
-0.029835300340177617
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes62.0ms (0.8%)

Counts
15 → 3
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 (/.f64 (-.f64 1 y) z) x)
(/.f64 (-.f64 x (*.f64 y x)) z)
Outputs
(+.f64 y (/.f64 x z))
(/.f64 (-.f64 x (*.f64 y x)) z)
(+.f64 y (/.f64 x z))
Calls

3 calls:

30.0ms
z
20.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
8.6b2x
9.8b1y
7.6b3z
Compiler

Compiled 83 to 39 computations (53% saved)

bsearch93.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
5.601768616624161e-134
9.069019349362649e-119
38.0ms
-8.848982914219079e-118
-7.397905590154191e-119
Compiler

Compiled 338 to 220 computations (34.9% saved)

regimes58.0ms (0.7%)

Counts
14 → 3
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
(/.f64 (-.f64 1 y) (/.f64 z x))
(/.f64 (+.f64 x (*.f64 y z)) z)
(*.f64 (/.f64 (-.f64 1 y) z) x)
Outputs
(+.f64 y (/.f64 x z))
(/.f64 (-.f64 1 y) (/.f64 z x))
(+.f64 y (/.f64 x z))
Calls

3 calls:

29.0ms
z
16.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
8.6b2x
9.8b1y
7.6b3z
Compiler

Compiled 76 to 36 computations (52.6% saved)

bsearch97.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
5.601768616624161e-134
9.069019349362649e-119
40.0ms
-8.848982914219079e-118
-7.397905590154191e-119
Compiler

Compiled 338 to 236 computations (30.2% saved)

regimes26.0ms (0.3%)

Counts
11 → 1
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(+.f64 y (/.f64 x z))
(/.f64 (*.f64 y z) z)
(*.f64 (neg.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (neg.f64 x) z))
(/.f64 (*.f64 x (neg.f64 y)) z)
Outputs
(+.f64 y (/.f64 x z))
Calls

3 calls:

10.0ms
x
7.0ms
y
7.0ms
z
Results
ErrorSegmentsBranch
9.8b1x
9.8b1y
9.8b1z
Compiler

Compiled 55 to 27 computations (50.9% saved)

regimes79.0ms (1%)

Counts
6 → 3
Calls
Call 1
Inputs
y
y
y
y
(/.f64 x z)
(/.f64 1 (/.f64 z x))
Outputs
y
(/.f64 x z)
y
Calls

3 calls:

36.0ms
z
29.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
24.6b5x
18.3b3y
21.0b7z
Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch45.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
2.5406209979118953e-21
5.869191528959992e-19
19.0ms
-9.460567059086065e-42
-2.9420656563764925e-43
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes12.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

3 calls:

4.0ms
y
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
31.4b1x
31.4b1y
31.4b1z
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify16.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
052237
172237
290237
398237
4102237
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(if (<=.f64 y -1000000000000000072531436381529235126158374409646521955518210155479040) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 3059991288128433/4096) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))))
(if (<=.f64 y -8667827934435183/4503599627370496) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 8647038513594613/19807040628566084398385987584) (+.f64 y (/.f64 x z)) (/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))))
(if (<=.f64 y -8667827934435183/4503599627370496) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 8647038513594613/19807040628566084398385987584) (+.f64 y (/.f64 x z)) (*.f64 (-.f64 1 (/.f64 x z)) y)))
(if (<=.f64 z -6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.f64 y (/.f64 x z)) (if (<=.f64 z 5933020476811757/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 x (*.f64 y x)) z) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.f64 y (/.f64 x z)) (if (<=.f64 z 5933020476811757/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 1 y) (/.f64 z x)) (+.f64 y (/.f64 x z))))
(+.f64 y (/.f64 x z))
(if (<=.f64 y -7423117738041401/784637716923335095479473677900958302012794430558004314112) y (if (<=.f64 y 6754129114207003/2658455991569831745807614120560689152) (/.f64 x z) y))
y
Outputs
(+.f64 (*.f64 (-.f64 1 (/.f64 x z)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (-.f64 1 (/.f64 x z)) y))
(if (<=.f64 y -1000000000000000072531436381529235126158374409646521955518210155479040) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 3059991288128433/4096) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))))
(if (<=.f64 y -1000000000000000072531436381529235126158374409646521955518210155479040) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 3059991288128433/4096) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (/.f64 y (/.f64 z (-.f64 z x)))))
(if (<=.f64 y -8667827934435183/4503599627370496) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 8647038513594613/19807040628566084398385987584) (+.f64 y (/.f64 x z)) (/.f64 y (*.f64 1 (/.f64 z (-.f64 z x))))))
(if (<=.f64 y -8667827934435183/4503599627370496) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 8647038513594613/19807040628566084398385987584) (+.f64 (/.f64 x z) y) (/.f64 y (/.f64 z (-.f64 z x)))))
(if (<=.f64 y -8667827934435183/4503599627370496) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 8647038513594613/19807040628566084398385987584) (+.f64 y (/.f64 x z)) (*.f64 (-.f64 1 (/.f64 x z)) y)))
(if (<=.f64 y -8667827934435183/4503599627370496) (*.f64 (-.f64 1 (/.f64 x z)) y) (if (<=.f64 y 8647038513594613/19807040628566084398385987584) (+.f64 (/.f64 x z) y) (*.f64 (-.f64 1 (/.f64 x z)) y)))
(if (<=.f64 z -6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.f64 y (/.f64 x z)) (if (<=.f64 z 5933020476811757/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 x (*.f64 y x)) z) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.f64 (/.f64 x z) y) (if (<=.f64 z 5933020476811757/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 x (*.f64 x y)) z) (+.f64 (/.f64 x z) y)))
(if (<=.f64 z -6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.f64 y (/.f64 x z)) (if (<=.f64 z 5933020476811757/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 1 y) (/.f64 z x)) (+.f64 y (/.f64 x z))))
(if (<=.f64 z -6814113040271315/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (+.f64 (/.f64 x z) y) (if (<=.f64 z 5933020476811757/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (/.f64 (-.f64 1 y) (/.f64 z x)) (+.f64 (/.f64 x z) y)))
(+.f64 y (/.f64 x z))
(+.f64 (/.f64 x z) y)
(if (<=.f64 y -7423117738041401/784637716923335095479473677900958302012794430558004314112) y (if (<=.f64 y 6754129114207003/2658455991569831745807614120560689152) (/.f64 x z) y))
y
Compiler

Compiled 192 to 108 computations (43.8% saved)

soundness291.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
2060×fma-neg_binary64
385×div-sub_binary64
376×associate-/l*_binary64
327×distribute-neg-frac_binary64
317×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11211
22511
35311
410111
517511
629911
758011
8165011
9488411
10629811
11683811
12723411
13743011
14761011
Stop Event
1×node limit
Compiler

Compiled 35 to 20 computations (42.9% saved)

end74.0ms (0.9%)

Compiler

Compiled 168 to 70 computations (58.3% saved)

Profiling

Loading profile data...