Details

Time bar (total: 2.9s)

analyze67.0ms (2.3%)

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

Compiled 26 to 19 computations (26.9% saved)

sample984.0ms (33.5%)

Results
964.0ms8256×body128valid
8.0ms55×body128invalid
Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess39.0ms (1.3%)

Algorithm
egg-herbie
Rules
712×fma-def_binary64
374×times-frac_binary64
345×div-sub_binary64
304×distribute-rgt-in_binary64
242×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
13238
28234
324534
495334
5489234
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
(*.f64 (-.f64 1 v) (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1))
(*.f64 (-.f64 1 v) (+.f64 (*.f64 (/.f64 v m) (-.f64 1 v)) -1))
(*.f64 (-.f64 1 v) (fma.f64 (/.f64 v m) (-.f64 1 v) -1))
(*.f64 (-.f64 1 v) (fma.f64 (-.f64 1 v) (/.f64 v m) -1))
(*.f64 (-.f64 1 v) (fma.f64 v (/.f64 (-.f64 1 v) m) -1))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify19.0ms (0.6%)

Algorithm
egg-herbie
Rules
560×fma-neg_binary64
442×distribute-rgt-in_binary64
376×unsub-neg_binary64
325×fma-def_binary64
302×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0919
12019
24617
313117
446417
5201217
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 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
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.1b
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
Compiler

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite44.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
89×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118328
2234828
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) 1) (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) (/.f64 v m))) (*.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 1))))))

simplify39.0ms (1.3%)

Algorithm
egg-herbie
Rules
339×fma-def_binary64
255×unsub-neg_binary64
230×unswap-sqr_binary64
221×associate-*l*_binary64
214×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037784
196728
2210699
3578587
42738587
Stop Event
node limit
Counts
94 → 74
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.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)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
Outputs
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -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 (*.f64 m (neg.f64 m)) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -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 (*.f64 m (neg.f64 m)) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 -1 (+.f64 m (fma.f64 (*.f64 m (/.f64 m v)) -2 (/.f64 m v))))
(+.f64 -1 (+.f64 m (fma.f64 (/.f64 -2 v) (*.f64 m m) (/.f64 m v))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 -1)))
(+.f64 m (+.f64 (+.f64 -1 (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (+.f64 (+.f64 -1 m) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 -1)))
(+.f64 m (+.f64 (+.f64 -1 (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (+.f64 (+.f64 -1 m) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 -1)))
(+.f64 m (+.f64 (+.f64 -1 (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (+.f64 (+.f64 -1 m) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))

prune69.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New69574
Fresh011
Picked101
Done000
Total70676
Error
0b
Counts
76 → 6
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
3.1b
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))
0.1b
(+.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))
0.9b
(*.f64 (-.f64 1 m) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2)))
0.2b
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))
Compiler

Compiled 1372 to 891 computations (35.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite194.0ms (6.6%)

Algorithm
batch-egg-rewrite
Rules
355×fma-def_binary64
202×fma-neg_binary64
184×expm1-udef_binary64
184×log1p-udef_binary64
156×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01135
123731
2347829
Stop Event
node limit
Counts
2 → 176
Calls
Call 1
Inputs
(*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 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 0 (fma.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 pow.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m) 1)))) (#(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 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 neg.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m))))) (#(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 log.f64 (/.f64 1 (+.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 expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))))) (#(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))))))
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simplify47.0ms (1.6%)

Algorithm
egg-herbie
Rules
619×fma-def_binary64
237×unsub-neg_binary64
219×sub-neg_binary64
215×div-sub_binary64
212×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051924
1142890
2345800
3941688
44048688
Stop Event
node limit
Counts
224 → 205
Calls
Call 1
Inputs
m
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
m
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
m
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (+.f64 (*.f64 m (-.f64 1 m)) (*.f64 -1 (*.f64 (pow.f64 m 2) (-.f64 1 m)))) v)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))) 1)
(-.f64 m 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m)) 1)
(-.f64 m 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) (*.f64 -1 (*.f64 m (-.f64 1 m)))) v)) m) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) (*.f64 -1 (*.f64 m (-.f64 1 m)))) v)) m) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) (*.f64 -1 (*.f64 m (-.f64 1 m)))) v)) m) 1)
Outputs
m
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) m)
(-.f64 m (/.f64 (*.f64 m m) v))
(-.f64 m (*.f64 (/.f64 m v) m))
(-.f64 m (*.f64 m (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (/.f64 m v) m))
(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (/.f64 m v) m))
(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (/.f64 m v) m))
(/.f64 (*.f64 m (+.f64 m -1)) (/.f64 v m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
m
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
m
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) m)
(fma.f64 -1 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (/.f64 (*.f64 m m) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (*.f64 (/.f64 m v) m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -1) m)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 (+.f64 m -1) (fma.f64 (/.f64 -2 v) (*.f64 m m) (/.f64 m v)))
(+.f64 (+.f64 -1 (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) -2 m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v)))))
(+.f64 m (-.f64 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)) (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v)))))
(+.f64 m (-.f64 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)) (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v)))))
(+.f64 m (-.f64 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)) (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(/.f64 (+.f64 (*.f64 m (-.f64 1 m)) (*.f64 -1 (*.f64 (pow.f64 m 2) (-.f64 1 m)))) v)
(/.f64 (fma.f64 m (-.f64 1 m) (neg.f64 (*.f64 (*.f64 m m) (-.f64 1 m)))) v)
(/.f64 (*.f64 (-.f64 1 m) (+.f64 (*.f64 (neg.f64 m) m) m)) v)
(/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m)) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m)) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) m)) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) (*.f64 -1 (*.f64 m (-.f64 1 m)))) v)) m) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) (*.f64 -1 (*.f64 m (-.f64 1 m)))) v)) m) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) (*.f64 -1 (*.f64 m (-.f64 1 m)))) v)) m) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v) m) (/.f64 m (/.f64 v (-.f64 1 m)))) -1)
(+.f64 -1 (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 m (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))
(+.f64 -1 (+.f64 m (/.f64 (-.f64 1 m) (/.f64 v (-.f64 m (*.f64 m m))))))
(-.f64 (+.f64 m -1) (*.f64 (/.f64 (-.f64 1 m) v) (*.f64 m (+.f64 m -1))))
(+.f64 m (-.f64 -1 (*.f64 (/.f64 (-.f64 1 m) v) (-.f64 (*.f64 m m) m))))

prune270.0ms (9.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2703273
Fresh325
Picked011
Done000
Total2736279
Error
0b
Counts
279 → 6
Alt Table
StatusErrorProgram
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.2b
(fma.f64 (fma.f64 m m m) (/.f64 1 v) (-.f64 -1 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))
0.1b
(+.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))
1.8b
(fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (+.f64 -1 (/.f64 (fma.f64 m m m) v))) (+.f64 -1 (/.f64 (fma.f64 m m m) v)))
3.1b
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))
0.1b
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
Compiler

Compiled 7964 to 3009 computations (62.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
0.0b
(+.f64 m (/.f64 m v))
0.0b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
0.2b
(*.f64 m (/.f64 m v))

series15.0ms (0.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
m
@inf
(+.f64 m (/.f64 m v))
2.0ms
v
@inf
(*.f64 m (/.f64 m v))
1.0ms
m
@0
(*.f64 m (/.f64 m v))
1.0ms
v
@0
(*.f64 m (/.f64 m v))
1.0ms
v
@0
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))

rewrite67.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
375×fma-neg_binary64
229×expm1-udef_binary64
229×log1p-udef_binary64
131×add-sqr-sqrt_binary64
128×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01049
124547
2399847
Stop Event
node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f64 m (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 m (/.f64 m v))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (/.f64 m v))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 m 3) v) 1) (*.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (+.f64 -8 (pow.f64 m 3))) (*.f64 v (fma.f64 m m (-.f64 4 (*.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (fma.f64 m m -4)) (*.f64 v (+.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m m)) (*.f64 (fma.f64 m m (-.f64 4 (*.f64 m -2))) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) (*.f64 m m)) (*.f64 (+.f64 m 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) (pow.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (-.f64 (*.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) (*.f64 m (*.f64 (/.f64 m v) -2))) (*.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (*.f64 (/.f64 m v) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (pow.f64 m 3) v)) (*.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) (*.f64 m (*.f64 (/.f64 m v) -2)))) (-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (*.f64 (/.f64 m v) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (+.f64 m -2)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m (/.f64 m v))) (fma.f64 m m (-.f64 4 (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) (*.f64 m (/.f64 m v))) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -8 (pow.f64 m 3))) (fma.f64 m m (-.f64 4 (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m m -4)) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 m v)) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) m (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 m (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (-.f64 m (/.f64 m v))) (/.f64 (pow.f64 (/.f64 m v) 2) (-.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2) (cbrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) (sqrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (/.f64 1 (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2)) (/.f64 1 (-.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m))) (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 m (/.f64 m v)) (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (+.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (*.f64 m m) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2)) (-.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3))) (neg.f64 (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2))) (neg.f64 (-.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m m)) (-.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 m (/.f64 m v))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)) (+.f64 m (/.f64 m v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) (+.f64 m (-.f64 (/.f64 m v) (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))))) (/.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))) 2) (+.f64 m (-.f64 (/.f64 m v) (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)) (+.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)) (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)) (+.f64 m (/.f64 m v)))) (cbrt.f64 (pow.f64 (fma.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)) (+.f64 m (/.f64 m v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 m (*.f64 (/.f64 m v) (+.f64 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simplify45.0ms (1.5%)

Algorithm
egg-herbie
Rules
753×fma-neg_binary64
290×fma-def_binary64
241×distribute-rgt-neg-in_binary64
198×distribute-lft-neg-in_binary64
177×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0371264
1931264
21981180
3527998
42357953
Stop Event
node limit
Counts
229 → 154
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
m
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
m
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(/.f64 (+.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) m) v)
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
m
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
m
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (-.f64 m 2) (pow.f64 m 2)))) v)) m)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (-.f64 m 2) (pow.f64 m 2)))) v)) m)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (-.f64 m 2) (pow.f64 m 2)))) v)) m)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 (/.f64 (*.f64 m m) v) -2)
(*.f64 (/.f64 m (/.f64 v m)) -2)
(*.f64 m (*.f64 (/.f64 -2 v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 m (+.f64 1 (/.f64 1 v)))
(+.f64 m (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 m (+.f64 1 (/.f64 1 v)) (*.f64 (/.f64 (*.f64 m m) v) -2))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v)))
(+.f64 m (fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 m (/.f64 (-.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(/.f64 (+.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) m) v)
(/.f64 (fma.f64 (-.f64 m 2) (*.f64 m m) m) v)
(/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v)
(/.f64 (fma.f64 (*.f64 m m) (+.f64 m -2) m) v)
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
m
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
m
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (-.f64 m 2) (pow.f64 m 2)))) v)) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (-.f64 m 2) (pow.f64 m 2)))) v)) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (-.f64 m 2) (pow.f64 m 2)))) v)) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (/.f64 m v))))
(+.f64 m (fma.f64 (*.f64 m m) (/.f64 (-.f64 m 2) v) (/.f64 m v)))
(+.f64 m (/.f64 (fma.f64 (*.f64 m m) (-.f64 m 2) m) v))

prune180.0ms (6.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh044
Picked011
Done011
Total1546160
Error
0b
Counts
160 → 6
Alt Table
StatusErrorProgram
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.2b
(fma.f64 (fma.f64 m m m) (/.f64 1 v) (-.f64 -1 (fma.f64 m (/.f64 (fma.f64 m m m) v) m)))
0.1b
(+.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))
1.8b
(fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (+.f64 -1 (/.f64 (fma.f64 m m m) v))) (+.f64 -1 (/.f64 (fma.f64 m m m) v)))
3.1b
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))
0.1b
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
Compiler

Compiled 3907 to 1830 computations (53.2% saved)

localize6.0ms (0.2%)

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

series9.0ms (0.3%)

Counts
4 → 63
Calls

21 calls:

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

rewrite62.0ms (2.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0949
120149
2294145
Stop Event
node limit
Counts
4 → 193
Calls
Call 1
Inputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 m (-.f64 1 m))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2))))) (#(struct:change 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#<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 expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(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) 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify41.0ms (1.4%)

Algorithm
egg-herbie
Rules
355×fma-def_binary64
270×unsub-neg_binary64
236×associate-*l*_binary64
230×unswap-sqr_binary64
226×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038864
199799
2215770
3602688
42894688
Stop Event
node limit
Counts
256 → 224
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 m (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(fma.f64 (*.f64 m (/.f64 m v)) -2 (+.f64 (/.f64 m v) (+.f64 m -1)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) -1))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) -1))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) -1))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
-1
-1

prune252.0ms (8.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2231224
Fresh123
Picked011
Done022
Total2246230
Error
0b
Counts
230 → 6
Alt Table
StatusErrorProgram
0.1b
(+.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))
1.8b
(fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (+.f64 -1 (/.f64 (fma.f64 m m m) v))) (+.f64 -1 (/.f64 (fma.f64 m m m) v)))
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
3.1b
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))
0.2b
(*.f64 (fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1) (-.f64 1 m))
0.1b
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
Compiler

Compiled 4438 to 2846 computations (35.9% saved)

regimes355.0ms (12.1%)

Accuracy

Total 0.0b remaining (72.4%)

Threshold costs 0.0b (72.4%)

Counts
183 → 1
Compiler

Compiled 2865 to 1693 computations (40.9% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11523
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 -1 (fma.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)) (+.f64 m (/.f64 m v))))
Outputs
(+.f64 -1 (fma.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)) (+.f64 m (/.f64 m v))))

end94.0ms (3.2%)

Stop Event
fuel
Compiler

Compiled 157 to 97 computations (38.2% saved)

Profiling

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