Details

Time bar (total: 2.7s)

analyze60.0ms (2.2%)

Algorithm
1×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)

sample878.0ms (32.1%)

Results
860.0ms8256×body128valid
6.0ms55×body128invalid
Compiler

Compiled 48 to 34 computations (29.2% saved)

preprocess36.0ms (1.3%)

Algorithm
2×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
1×saturated
1×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)

simplify40.0ms (1.5%)

Algorithm
1×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
1×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
0.1b
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)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.4%)

Counts
4 → 63
Calls

21 calls:

TimeVariablePointExpression
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
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)

rewrite59.0ms (2.2%)

Algorithm
1×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
1×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 m (-.f64 1 m))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
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 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 log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 m (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 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 #<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 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(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 (*.f64 (-.f64 1 m) (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(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 (/.f64 v (-.f64 1 m)) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (-.f64 1 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 fma.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1))) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(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 expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))
((#(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 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 log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))))
((#(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 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 log1p.f64 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -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 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))))))

simplify36.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
446×fma-def_binary64
399×fma-neg_binary64
339×associate-/l*_binary64
315×cancel-sign-sub-inv_binary64
225×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029809
178748
2165748
3402640
41389598
Stop Event
1×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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 -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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
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)
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1
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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.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 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
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(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
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(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
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(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
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(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 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 (neg.f64 m) (/.f64 m v))
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(*.f64 -1 (/.f64 (pow.f64 m 2) v))
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(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (neg.f64 m) (/.f64 m v))
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(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
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(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
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(-.f64 m (*.f64 m m))
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(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
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(-.f64 m (*.f64 m m))
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(-.f64 m (*.f64 m m))
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-1
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
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(-.f64 (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m v) m))
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(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
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(*.f64 (neg.f64 m) (/.f64 m v))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
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(-.f64 (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m v) m))
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(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(-.f64 (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m v) m))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
-1
-1

prune184.0ms (6.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1856191
Fresh011
Picked101
Done000
Total1867193
Error
0.0b
Counts
193 → 7
Alt Table
StatusErrorProgram
0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
10.8b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
0.8b
(*.f64 (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) m)
▶0.2b
(*.f64 (-.f64 (/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v) 1) m)
35.8b
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
7.0b
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 3220 to 2005 computations (37.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.4%)

Counts
4 → 84
Calls

21 calls:

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

rewrite66.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
325×fma-def_binary64
299×fma-neg_binary64
168×expm1-udef_binary64
168×log1p-udef_binary64
144×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01054
122438
2344136
Stop Event
1×node limit
Counts
4 → 266
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v) 1) m)
(/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v)
(+.f64 m (*.f64 (neg.f64 m) m))
(-.f64 (/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 m m m) v) m) m)))) (#(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 (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 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) -1) m) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) (+.f64 (/.f64 (fma.f64 m m m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) -1) m) (+.f64 (/.f64 (fma.f64 m m m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) -1)) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) (+.f64 (/.f64 (fma.f64 m m m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) -1)) (+.f64 (/.f64 (fma.f64 m m m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 (fma.f64 m m m) v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 m m m) v) m m)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m m m) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m m m) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 m m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 m m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (*.f64 (cbrt.f64 (fma.f64 m m m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2)) (cbrt.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2)) (*.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 m (sqrt.f64 m)) (*.f64 (hypot.f64 m (sqrt.f64 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m 1) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 m m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 m (sqrt.f64 m)) 1) (/.f64 (hypot.f64 m (sqrt.f64 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 m 1) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (fma.f64 m m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 m (sqrt.f64 m)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (hypot.f64 m (sqrt.f64 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 m 1) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (fma.f64 m m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (fma.f64 m m m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 m 1) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 m m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (fma.f64 m m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 m m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 m m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (fma.f64 m m m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 m m m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (fma.f64 m m m) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1)) (cbrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1))) (cbrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1)) (sqrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 m m m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 m m m) v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 m (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m m) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m m m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (fma.f64 m m m)) (/.f64 (*.f64 m (pow.f64 m 3)) (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m m m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 m m m) 2) (/.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m m m)) (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (cbrt.f64 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (neg.f64 (cbrt.f64 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 m (sqrt.f64 m)) (hypot.f64 m (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 m (sqrt.f64 m)) (neg.f64 (hypot.f64 m (sqrt.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 m 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 m m m) 2) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m 1) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 m) m) (+.f64 (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 m (sqrt.f64 m))) (hypot.f64 m (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2)) (cbrt.f64 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 m 1)) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m 1) 1) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m 1) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m 1) (sqrt.f64 m)) (sqrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 m m m) 2) (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m m m) (pow.f64 (fma.f64 m m m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 m m m) 2) (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 m 3)) (-.f64 (pow.f64 (fma.f64 m m m) 2) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 m 3)) (fma.f64 m (pow.f64 m 3) (fma.f64 m m (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 m 3))) (-.f64 (pow.f64 (fma.f64 m m m) 2) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 m 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 m m m) 2) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 m m m) 2)) (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m (pow.f64 m 3) (*.f64 m m)) (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m m m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m m m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m m m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 m (sqrt.f64 m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 m m m))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m m m) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) -1) (/.f64 1 (+.f64 (/.f64 (fma.f64 m m m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) 1) (-.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) (+.f64 (/.f64 (fma.f64 m m m) v) 1)) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) -1) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) (+.f64 (/.f64 (fma.f64 m m m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) -1) (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) (-.f64 1 (*.f64 (/.f64 (fma.f64 m m m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) -1) (+.f64 (/.f64 (fma.f64 m m m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) (+.f64 (/.f64 (fma.f64 m m m) v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2) -1)) (neg.f64 (+.f64 (/.f64 (fma.f64 m m m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m m m) (/.f64 1 v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m m m) (/.f64 1 (neg.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m m m) (*.f64 (/.f64 1 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 m m m) v) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 m m m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (*.f64 (cbrt.f64 (fma.f64 m m m)) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2)) (cbrt.f64 (/.f64 (fma.f64 m m m) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 m m m) v) 2)) (*.f64 (cbrt.f64 (/.f64 (fma.f64 m m m) v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 m (sqrt.f64 m)) (*.f64 (hypot.f64 m (sqrt.f64 m)) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (sqrt.f64 (/.f64 (fma.f64 m m m) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 m m m) v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) (fma.f64 m m m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 m 1) (*.f64 m (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 m m m)) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 m (sqrt.f64 m)) 1) (/.f64 (hypot.f64 m (sqrt.f64 m)) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 m 1) 1) (/.f64 m v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (fma.f64 m m m) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (fma.f64 m m m) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 m (sqrt.f64 m)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (hypot.f64 m (sqrt.f64 m)) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 m 1) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (fma.f64 m m m) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 m m m)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (fma.f64 m m m)) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 m 1) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 m m m) v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 (fma.f64 m m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (/.f64 (fma.f64 m m m) v)) 1))))))

simplify42.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
510×associate-*l*_binary64
397×fma-def_binary64
272×fma-neg_binary64
264×associate-/l*_binary64
242×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0271130
1721048
2148877
3345877
41127877
Stop Event
1×node limit
Counts
350 → 293
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) m) v))
(/.f64 m v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
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)
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
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 m) v) m)
(fma.f64 (/.f64 m v) m (neg.f64 m))
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) m)
(-.f64 (*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v)) m)
(fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) m)
(-.f64 (*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v)) m)
(fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v) (neg.f64 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 (fma.f64 m (neg.f64 m) m)) v)
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) m)
(-.f64 (*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v)) m)
(fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m (fma.f64 m (neg.f64 m) m)) v) m)
(-.f64 (*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v)) m)
(fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v) (neg.f64 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 (fma.f64 m (neg.f64 m) m)) v)
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
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(neg.f64 (/.f64 m (/.f64 v m)))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(/.f64 (+.f64 (*.f64 -1 (pow.f64 m 2)) m) v)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (/.f64 (fma.f64 m (neg.f64 m) m) v))
(+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))

prune232.0ms (8.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2930293
Fresh066
Picked011
Done000
Total2937300
Error
0.0b
Counts
300 → 7
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
10.8b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
0.8b
(*.f64 (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) m)
✓0.2b
(*.f64 (-.f64 (/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v) 1) m)
35.8b
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
7.0b
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 5275 to 2483 computations (52.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.3%)

Counts
3 → 60
Calls

18 calls:

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

rewrite57.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
452×log-prod_binary64
201×prod-diff_binary64
173×pow1/3_binary64
165×expm1-udef_binary64
164×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
118632
2244132
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (-.f64 1 m) v)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 m (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 3) -1) (fma.f64 (/.f64 m (/.f64 v (-.f64 1 m))) (/.f64 m (/.f64 v (-.f64 1 m))) (-.f64 1 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 m (/.f64 v (-.f64 1 m))) (/.f64 m (/.f64 v (-.f64 1 m))) -1) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))
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simplify46.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
414×fma-def_binary64
375×fma-neg_binary64
345×associate-/l*_binary64
299×cancel-sign-sub-inv_binary64
210×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031844
183783
2176783
3412588
41353588
54855588
Stop Event
1×node limit
Counts
185 → 153
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 -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))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(*.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 (neg.f64 m) (/.f64 m v))
(/.f64 m (/.f64 v (neg.f64 m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(*.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 (neg.f64 m) (/.f64 m v))
(/.f64 m (/.f64 v (neg.f64 m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.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 (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)

prune137.0ms (5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh055
Picked011
Done011
Total1537160
Error
0.0b
Counts
160 → 7
Alt Table
StatusErrorProgram
✓0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶0.4b
(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
10.8b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
0.8b
(*.f64 (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) m)
✓0.2b
(*.f64 (-.f64 (/.f64 (+.f64 m (*.f64 (neg.f64 m) m)) v) 1) m)
35.8b
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
7.0b
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
Compiler

Compiled 3455 to 2020 computations (41.5% saved)

localize9.0ms (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)
✓0.3b
(/.f64 m (sqrt.f64 v))
✓0.3b
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
✓0.3b
(/.f64 (-.f64 1 m) (sqrt.f64 v))

series20.0ms (0.7%)

Counts
4 → 50
Calls

24 calls:

TimeVariablePointExpression
4.0ms
m
@0
(/.f64 m (sqrt.f64 v))
2.0ms
v
@-inf
(fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)
1.0ms
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)
1.0ms
v
@-inf
(/.f64 (-.f64 1 m) (sqrt.f64 v))

rewrite73.0ms (2.7%)

Algorithm
1×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
1×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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) 2) (cbrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) (sqrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3) -1) (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v) -1) (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 m (sqrt.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (pow.f64 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m (sqrt.f64 v))) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) (cbrt.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 m (sqrt.f64 v))) (sqrt.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 v)) (/.f64 m (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 v)) (cbrt.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 v 1/4)) (/.f64 m (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 v 1/4)) (/.f64 (cbrt.f64 m) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (sqrt.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 m (sqrt.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 m (sqrt.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (sqrt.f64 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m (neg.f64 m))))))))

simplify45.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
645×unswap-sqr_binary64
465×associate-*l*_binary64
355×associate-*r*_binary64
257×fma-def_binary64
222×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026650
170618
2143591
3317546
4945537
54268537
Stop Event
1×node limit
Counts
217 → 192
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 v))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.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)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.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 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 m)
Outputs
(sqrt.f64 (/.f64 1 v))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 m (neg.f64 (sqrt.f64 (/.f64 1 v))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 m (neg.f64 (sqrt.f64 (/.f64 1 v))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m)) (sqrt.f64 (/.f64 1 v)))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (sqrt.f64 (/.f64 1 v)))
(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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) v) 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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) v) 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 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) v) 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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) v) 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 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) v) 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 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) v) 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 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m m) m) m))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m 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 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m m) m) m))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m 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 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m m) m) m))
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v)) m)
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m m) m) m))
(*.f64 -1 m)
(neg.f64 m)

prune178.0ms (6.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1911192
Fresh134
Picked011
Done022
Total1927199
Error
0.0b
Counts
199 → 7
Alt Table
StatusErrorProgram
0.3b
(*.f64 (fma.f64 (*.f64 m (pow.f64 v -1/2)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) m)
✓0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
✓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 m (*.f64 (neg.f64 m) m)) v) 1) m)
35.8b
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
7.0b
(+.f64 (*.f64 -1 m) (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v)))
10.8b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
Compiler

Compiled 4584 to 2387 computations (47.9% saved)

regimes383.0ms (14%)

Accuracy

Total 0.1b remaining (79.8%)

Threshold costs 0.1b (79.8%)

Counts
204 → 1
Compiler

Compiled 2651 to 1486 computations (43.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
21916
32216
42316
Stop Event
1×saturated
Calls
Call 1
Inputs
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m m) m) m))
Outputs
(neg.f64 (fma.f64 (/.f64 m v) (-.f64 (*.f64 m m) m) m))

end94.0ms (3.4%)

Stop Event
1×fuel
Compiler

Compiled 135 to 90 computations (33.3% saved)

Profiling

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