Details

Time bar (total: 2.9s)

analyze715.0ms (25.1%)

Algorithm
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
3.1%96.7%0.1%8
14%84.3%1.7%9
19.5%76.5%4%10
25.4%70.6%4%11
38.8%54.2%7%12
44.4%46.6%9%13
48.8%42.2%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample918.0ms (32.2%)

Results
832.0ms8256×body128valid
74.0ms790×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess37.0ms (1.3%)

Algorithm
egg-herbie
Rules
786×div-sub_binary64
434×fma-def_binary64
235×distribute-neg-frac_binary64
235×times-frac_binary64
201×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13540
28340
320940
444940
5110040
6356240
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 y (/.f64 x (-.f64 x z)))
(*.f64 (/.f64 y x) (-.f64 x z))
(*.f64 (-.f64 x z) (/.f64 y x))
(/.f64 (-.f64 x z) (/.f64 x y))
(fma.f64 z (/.f64 (neg.f64 y) x) y)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 z (/.f64 y (-.f64 y x)))
(*.f64 (/.f64 z y) (-.f64 y x))
(*.f64 (-.f64 y x) (/.f64 z y))
(*.f64 z (/.f64 (-.f64 y x) y))
(*.f64 z (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(/.f64 x (/.f64 z (-.f64 z y)))
(*.f64 (/.f64 x z) (-.f64 z y))
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 y z)))
(-.f64 x (/.f64 x (/.f64 z y)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify18.0ms (0.6%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
463×associate-/l*_binary64
368×associate-*l/_binary64
316×associate-/r*_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
36210
413410
524210
644310
7126510
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 x (/.f64 y (-.f64 y z)))
(*.f64 (/.f64 x y) (-.f64 y z))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 x (/.f64 (-.f64 y z) y))
(-.f64 x (/.f64 z (/.f64 y x)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
3.7b
(-.f64 x (/.f64 z (/.f64 y x)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 57 to 33 computations (42.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 z (/.f64 y x)))
5.9b
(/.f64 z (/.f64 y x))

series9.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

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

rewrite83.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
697×prod-diff_binary64
239×fma-def_binary64
201×egg-rr
158×expm1-udef_binary64
158×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116317
2259917
Stop Event
node limit
Counts
2 → 243
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 x (/.f64 z (/.f64 y x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify58.0ms (2%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6777582
71053582
81243582
91362582
101376582
111381582
Stop Event
saturated
Counts
315 → 252
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(*.f64 x (/.f64 z y))
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
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x
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x
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(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune146.0ms (5.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2493252
Fresh011
Picked011
Done000
Total2495254
Error
0b
Counts
254 → 5
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.7b
(-.f64 x (/.f64 z (/.f64 y x)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
3.0b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
4.2b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 6824 to 2279 computations (66.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
0.2b
(/.f64 z (/.f64 1 x))
5.8b
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))

series8.0ms (0.3%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
0.0ms
z
@inf
(/.f64 z (/.f64 1 x))
0.0ms
x
@inf
(/.f64 z (/.f64 1 x))
0.0ms
x
@-inf
(/.f64 z (/.f64 1 x))
0.0ms
z
@-inf
(/.f64 z (/.f64 1 x))

rewrite104.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
813×prod-diff_binary64
230×egg-rr
118×add-sqr-sqrt_binary64
115×*-un-lft-identity_binary64
115×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
122821
2336621
Stop Event
node limit
Counts
3 → 312
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(/.f64 z (/.f64 1 x))
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 z (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 z) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 z (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z x)))))))
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x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 z (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))))

simplify64.0ms (2.2%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016678
135678
266678
3116678
4224678
5410678
6777678
71053678
81243678
91362678
101376678
111381678
Stop Event
saturated
Counts
408 → 319
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune218.0ms (7.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3190319
Fresh033
Picked011
Done011
Total3195324
Error
0b
Counts
324 → 5
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.7b
(-.f64 x (/.f64 z (/.f64 y x)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
3.0b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
4.2b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 9611 to 3949 computations (58.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.9b
(*.f64 (-.f64 1 (/.f64 z y)) x)

series6.0ms (0.2%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms
z
@0
(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms
x
@0
(*.f64 (-.f64 1 (/.f64 z y)) x)
1.0ms
y
@-inf
(*.f64 (-.f64 1 (/.f64 z y)) x)
0.0ms
z
@inf
(*.f64 (-.f64 1 (/.f64 z y)) x)

rewrite38.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
84×*-un-lft-identity_binary64
84×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116710
2219910
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (/.f64 z y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))))

simplify32.0ms (1.1%)

Algorithm
egg-herbie
Rules
456×fma-def_binary64
218×fma-neg_binary64
73×cancel-sign-sub-inv_binary64
58×distribute-rgt-in_binary64
52×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
118210
240210
379210
4142210
5280210
6468210
7687210
81063210
91586210
101600210
111614210
121619210
Stop Event
saturated
Counts
45 → 26
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(fma.f64 -1 (/.f64 z (/.f64 y x)) x)
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 (*.f64 x z) y))

prune13.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New26026
Fresh022
Picked011
Done022
Total26531
Error
0b
Counts
31 → 5
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.7b
(-.f64 x (/.f64 z (/.f64 y x)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
3.0b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
4.2b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 348 to 200 computations (42.5% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 z (/.f64 x y)))
5.7b
(*.f64 z (/.f64 x y))

series4.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite50.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
86×*-un-lft-identity_binary64
86×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2240217
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
(-.f64 x (*.f64 z (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(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 (pow.f64 (exp.f64 z) (/.f64 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 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 log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (neg.f64 z) x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y))) (-.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))))

simplify48.0ms (1.7%)

Algorithm
egg-herbie
Rules
380×fma-def_binary64
179×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
47×associate-*r*_binary64
44×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016582
135582
266582
3116582
4224582
5410582
6777582
71053582
81243582
91362582
101376582
111381582
Stop Event
saturated
Counts
133 → 68
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
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(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
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(/.f64 (*.f64 z x) y)
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 z x) y)
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(*.f64 (-.f64 1 (/.f64 z y)) x)
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(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
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(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
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(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
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(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
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(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (-.f64 1 (/.f64 z y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (*.f64 z (/.f64 x y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
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(-.f64 x (/.f64 x (/.f64 y z)))
(-.f64 x (/.f64 z (/.f64 y x)))

prune34.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done033
Total68573
Error
0b
Counts
73 → 5
Alt Table
StatusErrorProgram
3.1b
(*.f64 (-.f64 1 (/.f64 z y)) x)
3.7b
(-.f64 x (/.f64 z (/.f64 y x)))
12.1b
(/.f64 (*.f64 x (-.f64 y z)) y)
3.0b
(-.f64 x (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x))))
4.2b
(-.f64 x (*.f64 z (/.f64 x y)))
Compiler

Compiled 964 to 285 computations (70.4% saved)

regimes75.0ms (2.6%)

Accuracy

Total 2.1b remaining (99.7%)

Threshold costs 0b (0%)

Counts
10 → 4
Compiler

Compiled 96 to 52 computations (45.8% saved)

bsearch79.0ms (2.8%)

Algorithm
binary-search
Calls

3 calls:

33.0ms
z
25.0ms
z
20.0ms
z
Steps
ItersPointRange
5.5e+221
∈ [
4.682426324731448e+201
,
5.505328300324838e+221
]
6.5e-20
∈ [
2.380777883480392e-22
,
2.3362376233184415e-17
]
-1.95e+119
∈ [
-2.3741213070244726e+127
,
-3.239651474602826e+116
]
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02458
13758
25658
36858
47658
57958
68058
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z -194999999999999991800366422760485146155127833923503647053227066116473513844369527615153547145439510620896547578824359936) (-.f64 x (*.f64 z (/.f64 x y))) (if (<=.f64 z 5399988732876221/83076749736557242056487941267521536) (*.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 z 550000000000000025630993946151383662622797195472157273781539251910275529727697464765022241717807641776568687127792019425924493916303793950248342153620953892323086570052023922044717963242280381079552854674358133531395227648) (-.f64 x (/.f64 z (/.f64 y x))) (*.f64 (-.f64 1 (/.f64 z y)) x))))
Outputs
(if (<=.f64 z -194999999999999991800366422760485146155127833923503647053227066116473513844369527615153547145439510620896547578824359936) (-.f64 x (*.f64 z (/.f64 x y))) (if (<=.f64 z 5399988732876221/83076749736557242056487941267521536) (*.f64 (-.f64 1 (/.f64 z y)) x) (if (<=.f64 z 550000000000000025630993946151383662622797195472157273781539251910275529727697464765022241717807641776568687127792019425924493916303793950248342153620953892323086570052023922044717963242280381079552854674358133531395227648) (-.f64 x (/.f64 z (/.f64 y x))) (*.f64 (-.f64 1 (/.f64 z y)) x))))
(if (<=.f64 z -194999999999999991800366422760485146155127833923503647053227066116473513844369527615153547145439510620896547578824359936) (-.f64 x (*.f64 z (/.f64 x y))) (if (<=.f64 z 5399988732876221/83076749736557242056487941267521536) (*.f64 x (-.f64 1 (/.f64 z y))) (if (<=.f64 z 550000000000000025630993946151383662622797195472157273781539251910275529727697464765022241717807641776568687127792019425924493916303793950248342153620953892323086570052023922044717963242280381079552854674358133531395227648) (-.f64 x (/.f64 z (/.f64 y x))) (*.f64 x (-.f64 1 (/.f64 z y))))))

end68.0ms (2.4%)

Stop Event
fuel
Compiler

Compiled 140 to 85 computations (39.3% saved)

Profiling

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