Details

Time bar (total: 2.8s)

analyze61.0ms (2.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 24 to 17 computations (29.2% saved)

sample909.0ms (32.2%)

Results
891.0ms8256×body128valid
7.0ms64×body128invalid

preprocess36.0ms (1.3%)

Algorithm
egg-herbie
Rules
820×fma-neg_binary64
648×times-frac_binary64
255×associate-/l*_binary64
195×fma-def_binary64
182×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
26828
315928
459228
5190628
6451128
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v)
(*.f64 v (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1))
(*.f64 v (+.f64 (*.f64 (/.f64 v m) (-.f64 1 v)) -1))
(*.f64 v (fma.f64 (/.f64 v m) (-.f64 1 v) -1))
(*.f64 v (fma.f64 (-.f64 1 v) (/.f64 v m) -1))
(*.f64 v (fma.f64 v (/.f64 (-.f64 1 v) m) -1))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify41.0ms (1.4%)

Algorithm
egg-herbie
Rules
913×fma-neg_binary64
812×fma-def_binary64
281×div-sub_binary64
243×cancel-sign-sub-inv_binary64
198×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
12016
23914
38514
428014
572614
6185814
7323614
8402714
9437314
10498414
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 73 to 49 computations (32.9% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.1b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

series10.0ms (0.4%)

Counts
4 → 63
Calls

21 calls:

TimeVariablePointExpression
1.0ms
m
@-inf
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
v
@-inf
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
m
@0
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
m
@inf
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
v
@0
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

rewrite57.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
501×prod-diff_binary64
179×expm1-udef_binary64
178×log1p-udef_binary64
174×fma-neg_binary64
172×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0946
120146
2290142
Stop Event
node limit
Counts
4 → 163
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(*.f64 m (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) m) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) (/.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (-.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (+.f64 (pow.f64 (*.f64 (/.f64 m 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 m) (neg.f64 m)) (/.f64 1 (neg.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1))))))

simplify35.0ms (1.3%)

Algorithm
egg-herbie
Rules
463×fma-def_binary64
409×fma-neg_binary64
339×associate-/l*_binary64
317×cancel-sign-sub-inv_binary64
226×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029827
178748
2164748
3397640
41384598
Stop Event
node limit
Counts
226 → 191
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(/.f64 (fma.f64 m (neg.f64 m) m) v)
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(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
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(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
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(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
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(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(/.f64 (fma.f64 m (neg.f64 m) m) v)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
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(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
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(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
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(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
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(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
-1
-1
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)
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(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
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(fma.f64 m (neg.f64 m) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
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(fma.f64 m (neg.f64 m) m)
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(fma.f64 m (neg.f64 m) m)

prune321.0ms (11.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1847191
Fresh101
Picked101
Done000
Total1867193
Error
0.0b
Counts
193 → 7
Alt Table
StatusErrorProgram
8.3b
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v))) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
1.4b
(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
16.4b
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
6.5b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 3242 to 2004 computations (38.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
0.1b
(*.f64 (/.f64 m v) (-.f64 1 m))
0.2b
(*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)

series8.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
m
@inf
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
1.0ms
v
@0
(*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)
1.0ms
m
@0
(*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)
1.0ms
v
@inf
(*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)
0.0ms
v
@-inf
(*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)

rewrite59.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
278×fma-def_binary64
267×fma-neg_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
150×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
122431
2354231
Stop Event
node limit
Counts
3 → 196
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m)
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 m m m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 m m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m m) m) v)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 (fma.f64 m m m) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 (fma.f64 m m m) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 (fma.f64 m m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 (fma.f64 m m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 (fma.f64 m m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (/.f64 (fma.f64 m m m) v))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 m m m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 m 1) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 m 3)) (*.f64 (/.f64 v m) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 m m)) (*.f64 (/.f64 v m) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m m m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 m m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (pow.f64 m 3))) (*.f64 (neg.f64 v) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (*.f64 m m))) (*.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (*.f64 m m))) (*.f64 (neg.f64 v) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 m 3)) m) (*.f64 (+.f64 1 (fma.f64 m m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 m 3)) m) (*.f64 (+.f64 1 (fma.f64 m m m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 m m)) m) (*.f64 (+.f64 m 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 m m)) m) (*.f64 (+.f64 m 1) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 m 3)) 1) (*.f64 (+.f64 1 (fma.f64 m m 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 m (*.f64 m (/.f64 (fma.f64 m m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 m (/.f64 (fma.f64 m m m) v)) 2) (fma.f64 m (/.f64 (fma.f64 m m m) v) m)) (/.f64 (*.f64 m m) (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) 0) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 (/.f64 (fma.f64 m m m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 (/.f64 (fma.f64 m m m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 -1 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (fma.f64 m m m) v) m))))) (#(struct:change #<rule egg-rr> (2) ((x 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m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)) 1))))))

simplify53.0ms (1.9%)

Algorithm
egg-herbie
Rules
408×fma-def_binary64
333×associate-/l*_binary64
332×fma-neg_binary64
289×cancel-sign-sub-inv_binary64
210×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0251123
1661026
21441026
3349846
41257816
54684816
Stop Event
node limit
Counts
268 → 216
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

prune301.0ms (10.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2151216
Fresh156
Picked011
Done000
Total2167223
Error
0.0b
Counts
223 → 7
Alt Table
StatusErrorProgram
9.3b
(+.f64 (/.f64 (fma.f64 m m m) (/.f64 v m)) (neg.f64 m))
0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
0.2b
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
1.4b
(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
16.4b
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
6.5b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 3858 to 1212 computations (68.6% saved)

localize34.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 (*.f64 m m)) m)
0.1b
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v)
0.1b
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))
0.2b
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)

series13.0ms (0.5%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
m
@0
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
1.0ms
v
@-inf
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
1.0ms
v
@0
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
1.0ms
m
@inf
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
1.0ms
m
@-inf
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)

rewrite68.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
664×prod-diff_binary64
149×add-sqr-sqrt_binary64
145×*-un-lft-identity_binary64
145×pow1_binary64
138×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01270
128143
2433643
Stop Event
node limit
Counts
4 → 132
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v)
(*.f64 (-.f64 1 (*.f64 m m)) m)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 m) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 m) m)) (/.f64 (*.f64 m m) (/.f64 (+.f64 1 m) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 (*.f64 m m)) (/.f64 1 (+.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 m m)) (/.f64 1 (/.f64 (+.f64 1 m) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 m m)) (*.f64 m (/.f64 1 (+.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (/.f64 1 (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 m) m)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) m) 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(/.f64 (pow.f64 (*.f64 m (-.f64 1 (*.f64 m m))) 3) (pow.f64 (+.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 m) m)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (/.f64 1 (+.f64 v (*.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (*.f64 (/.f64 1 (+.f64 1 m)) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) m) (pow.f64 v -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) m) (*.f64 (pow.f64 v -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) m) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 m) m)) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 m) m)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 m) m)) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (-.f64 1 m) m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1) (*.f64 (-.f64 1 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) 2) v) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) v) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (-.f64 1 (*.f64 m m))) 1) (/.f64 (/.f64 1 (+.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) m) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 m) m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 m) m)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 m) m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 (-.f64 1 m) m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (/.f64 1 (+.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) m) 2)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 m) m)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 m) m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 (-.f64 1 m) m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (sqrt.f64 v)) (/.f64 (/.f64 1 (+.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) m) 2)) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 m) m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 (-.f64 1 m) m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 m) m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (*.f64 m (neg.f64 m)) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (*.f64 m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (-.f64 1 (*.f64 m m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 6)) m) (+.f64 1 (+.f64 (*.f64 m m) (pow.f64 m 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 4)) m) (+.f64 1 (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 6))) (+.f64 1 (+.f64 (*.f64 m m) (pow.f64 m 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 4))) (+.f64 1 (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 1 (*.f64 m m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 (*.f64 m m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 1 (*.f64 m m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (-.f64 1 (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (-.f64 1 (*.f64 m m))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 1 (*.f64 m m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 (*.f64 m m)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 m m)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 1 (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (-.f64 1 (*.f64 m m)))) 1))))))

simplify49.0ms (1.7%)

Algorithm
egg-herbie
Rules
770×times-frac_binary64
413×associate-/l*_binary64
354×div-sub_binary64
227×associate-*l*_binary64
226×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0361009
1111949
2261839
3849797
44878797
Stop Event
node limit
Counts
204 → 164
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m))))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
m
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(*.f64 -1 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(*.f64 -1 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(neg.f64 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(neg.f64 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1)))
(*.f64 (/.f64 m (/.f64 v m)) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1)))
(/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v))
(*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (pow.f64 m 2)) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 m (*.f64 (/.f64 (*.f64 m m) v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 m 1))))
(fma.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (/.f64 (+.f64 m 1) m)) (neg.f64 m))
(-.f64 (/.f64 (*.f64 m (-.f64 m (pow.f64 m 3))) (fma.f64 m v v)) m)
(-.f64 (*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v))) m)
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (fma.f64 -1 m 1) (/.f64 m v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 m (-.f64 1 (pow.f64 m 2))) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) m) (*.f64 v (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) v) (/.f64 m (+.f64 m 1)))
(/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 m v v))
m
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(*.f64 -1 (pow.f64 m 3))
(neg.f64 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(*.f64 -1 (pow.f64 m 3))
(neg.f64 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) m)
(fma.f64 -1 (pow.f64 m 3) m)
(-.f64 m (pow.f64 m 3))

prune198.0ms (7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1631164
Fresh055
Picked011
Done011
Total1638171
Error
0.0b
Counts
171 → 8
Alt Table
StatusErrorProgram
9.3b
(+.f64 (/.f64 (fma.f64 m m m) (/.f64 v m)) (neg.f64 m))
0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
0.2b
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
26.7b
(*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v)))
1.4b
(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
16.4b
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
6.5b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 3124 to 2014 computations (35.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
0.2b
(/.f64 m (sqrt.f64 v))
0.2b
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
0.3b
(/.f64 (-.f64 1 m) (sqrt.f64 v))

series22.0ms (0.8%)

Counts
4 → 50
Calls

24 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/.f64 (-.f64 1 m) (sqrt.f64 v))
3.0ms
m
@-inf
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
2.0ms
v
@-inf
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
2.0ms
v
@0
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
1.0ms
v
@-inf
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)

rewrite67.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
353×prod-diff_binary64
196×expm1-udef_binary64
195×log1p-udef_binary64
165×log-pow_binary64
153×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
122844
2300044
Stop Event
node limit
Counts
4 → 167
Calls
Call 1
Inputs
(/.f64 (-.f64 1 m) (sqrt.f64 v))
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
(/.f64 m (sqrt.f64 v))
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
Outputs
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simplify45.0ms (1.6%)

Algorithm
egg-herbie
Rules
645×unswap-sqr_binary64
455×associate-*l*_binary64
347×associate-*r*_binary64
272×fma-def_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026667
169618
2142591
3312546
4933537
54227537
Stop Event
node limit
Counts
217 → 192
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 v))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
-1
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 m)
Outputs
(sqrt.f64 (/.f64 1 v))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
(+.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(+.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 1 v))) m (sqrt.f64 (/.f64 1 v)))
(*.f64 (+.f64 (neg.f64 m) 1) (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (fma.f64 -1 m 1))
(*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1 m))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 m (/.f64 v m)) 1))
(-.f64 (/.f64 m v) (fma.f64 (/.f64 m v) m 1))
(-.f64 (/.f64 m v) (fma.f64 m (/.f64 m v) 1))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 m (/.f64 v m)) 1))
(-.f64 (/.f64 m v) (fma.f64 (/.f64 m v) m 1))
(-.f64 (/.f64 m v) (fma.f64 m (/.f64 m v) 1))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 m (/.f64 v m)) 1))
(-.f64 (/.f64 m v) (fma.f64 (/.f64 m v) m 1))
(-.f64 (/.f64 m v) (fma.f64 m (/.f64 m v) 1))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 m (/.f64 v m)) 1))
(-.f64 (/.f64 m v) (fma.f64 (/.f64 m v) m 1))
(-.f64 (/.f64 m v) (fma.f64 m (/.f64 m v) 1))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 m (/.f64 v m)) 1))
(-.f64 (/.f64 m v) (fma.f64 (/.f64 m v) m 1))
(-.f64 (/.f64 m v) (fma.f64 m (/.f64 m v) 1))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 m (/.f64 v m)) 1))
(-.f64 (/.f64 m v) (fma.f64 (/.f64 m v) m 1))
(-.f64 (/.f64 m v) (fma.f64 m (/.f64 m v) 1))
-1
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 -1 m)
(neg.f64 m)

prune259.0ms (9.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh055
Picked011
Done022
Total1928200
Error
0.0b
Counts
200 → 8
Alt Table
StatusErrorProgram
9.3b
(+.f64 (/.f64 (fma.f64 m m m) (/.f64 v m)) (neg.f64 m))
0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
0.2b
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1)) v) 1) m)
26.7b
(*.f64 (-.f64 m (pow.f64 m 3)) (/.f64 m (fma.f64 m v v)))
1.4b
(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
16.4b
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
0.2b
(+.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))
6.5b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 4609 to 2395 computations (48% saved)

regimes138.0ms (4.9%)

Accuracy

Total -63.4b remaining (-31848.8%)

Threshold costs -63.4b (-31848.8%)

Counts
79 → 1
Compiler

Compiled 1052 to 585 computations (44.4% saved)

simplify2.0ms (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
0816
11516
22416
32816
43016
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
Outputs
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)

end14.0ms (0.5%)

Stop Event
fuel
Compiler

Compiled 26 to 14 computations (46.2% saved)

Profiling

Loading profile data...