Details

Time bar (total: 6.8s)

analyze67.0ms (1%)

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
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.3s (18.9%)

Results
1.2s8256×body256valid
14.0ms104×body256invalid

preprocess57.0ms (0.8%)

Algorithm
egg-herbie
Rules
748×unsub-neg_binary64
711×fma-def_binary64
374×times-frac_binary64
340×div-sub_binary64
306×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
13238
28234
324734
497734
5498934
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 17 to 13 computations (23.5% saved)

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
982×unsub-neg_binary64
560×fma-neg_binary64
437×sub-neg_binary64
425×distribute-rgt-in_binary64
325×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0919
12019
24617
313117
447517
5204817
6641517
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))

eval1.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full 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 29 to 21 computations (27.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 18 computations (43.8% saved)

series7.0ms (0.1%)

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
v
@-inf
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)

rewrite55.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
979×pow1_binary64
908×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118328
2235128
Stop Event
node limit
Counts
2 → 44
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 +.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))))))))

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
414×distribute-rgt-in_binary64
386×distribute-rgt-out_binary64
343×distribute-lft-in_binary64
339×fma-def_binary64
302×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037784
196728
2210699
3600587
42828586
Stop Event
node limit
Counts
92 → 72
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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (-.f64 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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (-.f64 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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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 (*.f64 m m) v))
(*.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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(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))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (+.f64 m (+.f64 -1 (/.f64 m v))))
(+.f64 -1 (+.f64 m (fma.f64 (/.f64 -2 v) (*.f64 m m) (/.f64 m v))))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) -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 m) v) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 (+.f64 -1 (/.f64 m v)) (+.f64 m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.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 m) v) -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 v) (+.f64 m (fma.f64 (/.f64 (*.f64 m m) v) -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 m) v) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 (+.f64 -1 (/.f64 m v)) (+.f64 m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.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 m) v) -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 v) (+.f64 m (fma.f64 (/.f64 (*.f64 m m) v) -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 m) v) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 (+.f64 -1 (/.f64 m v)) (+.f64 m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) 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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 27 computations (35.7% saved)

series9.0ms (0.1%)

Counts
4 → 63
Calls

21 calls:

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

rewrite82.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
536×log-prod_binary64
501×prod-diff_binary64
381×pow-prod-down_binary64
264×pow2_binary64
188×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0949
120149
2294745
Stop Event
node limit
Counts
4 → 208
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(*.f64 m (-.f64 1 m))
Outputs
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simplify58.0ms (0.9%)

Algorithm
egg-herbie
Rules
476×distribute-rgt-in_binary64
396×distribute-lft-in_binary64
389×distribute-rgt-out_binary64
353×fma-def_binary64
273×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038864
199799
2215770
3622688
42989687
Stop Event
node limit
Counts
271 → 241
Calls
Call 1
Inputs
-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)))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (+.f64 -1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 (+.f64 -1 m) (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (-.f64 (/.f64 m v) (-.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 (+.f64 -1 m) (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (-.f64 (/.f64 m v) (-.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 (+.f64 -1 m) (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 m (neg.f64 (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 m (neg.f64 (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
-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 (/.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 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.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 (/.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 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 m (neg.f64 (/.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 (-.f64 1 m) (/.f64 m v))
(*.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 (/.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 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.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 (/.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 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 m (neg.f64 (/.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 (-.f64 1 m) (/.f64 m v))
(*.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 (/.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 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.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 (/.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 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.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 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
-1
-1
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))

eval105.0ms (1.6%)

Compiler

Compiled 5772 to 3755 computations (34.9% saved)

prune54.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New29914313
Fresh000
Picked101
Done101
Total30114315
Error
0b
Counts
315 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 (fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))
11.2b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
10.5b
(-.f64 (/.f64 m v) (-.f64 1 m))
30.3b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
35.2b
-1
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
52.7b
(/.f64 (pow.f64 m 3) v)
2.4b
(/.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (*.f64 m m))) (+.f64 m 1))
33.5b
(*.f64 (-.f64 1 m) (log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))
11.0b
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
34.8b
(+.f64 -1 m)
0.0b
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
30.3b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
Compiler

Compiled 333 to 239 computations (28.2% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (-.f64 1 m) 2)
0.1b
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
v
@0
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
0.0ms
m
@0
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
0.0ms
m
@-inf
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
0.0ms
m
@inf
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
0.0ms
v
@inf
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))

rewrite67.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
472×log-prod_binary64
370×exp-prod_binary64
335×prod-diff_binary64
301×pow-prod-down_binary64
280×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
123524
2291824
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(pow.f64 (-.f64 1 m) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m -1) (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)) (+.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)) 1) (+.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1) m)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) 2) (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 m) 6) (pow.f64 (/.f64 m v) 3)) (pow.f64 (+.f64 m -1) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)) 2) (-.f64 (pow.f64 (+.f64 m -1) 2) (*.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)) (+.f64 m -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)) 2) (pow.f64 (+.f64 m -1) 2)) (-.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v)) (+.f64 m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))) (sqrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 m -1))) (pow.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)) (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)) (/.f64 m v)) (+.f64 1 (expm1.f64 (+.f64 m -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m) -1)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 m) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 m) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 m) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 m) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 4) (cbrt.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (pow.f64 (cbrt.f64 (-.f64 1 m)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (pow.f64 (-.f64 1 m) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 m) 3/2) (sqrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 5) (cbrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (*.f64 m m)) 2) (pow.f64 (+.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (pow.f64 m 3)) 2) (pow.f64 (+.f64 1 (fma.f64 m m m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 1 m) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (-.f64 1 m)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (-.f64 1 (*.f64 m m))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 m) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 m) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 m) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log1p.f64 (neg.f64 m))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 m) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 m) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) 1 (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) 1 (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (cbrt.f64 (-.f64 1 m)) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (cbrt.f64 (-.f64 1 m)) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 m)) (sqrt.f64 (-.f64 1 m)) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 m)) (sqrt.f64 (-.f64 1 m)) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 m 3)) (/.f64 1 (+.f64 1 (fma.f64 m m m))) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 m 3)) (/.f64 1 (+.f64 1 (fma.f64 m m m))) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 m m)) (/.f64 1 (+.f64 1 m)) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 m m)) (/.f64 1 (+.f64 1 m)) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2))) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2))) (*.f64 (-.f64 1 m) (neg.f64 m)))))))

simplify64.0ms (1%)

Algorithm
egg-herbie
Rules
368×associate-/l*_binary64
335×fma-neg_binary64
313×fma-def_binary64
302×distribute-rgt-in_binary64
273×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034517
187505
2191468
3539440
42247431
57320431
Stop Event
node limit
Counts
124 → 115
Calls
Call 1
Inputs
-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 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(+.f64 (+.f64 m -1) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(+.f64 (fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 m v))) -1)
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1))
(+.f64 (+.f64 m -1) (*.f64 (/.f64 m v) (fma.f64 m -2 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 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 m (/.f64 v m)) -1)))
(+.f64 (+.f64 (+.f64 m (/.f64 m v)) -1) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) -1))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)) (/.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 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 m (/.f64 v m)) -1)))
(+.f64 (+.f64 (+.f64 m (/.f64 m v)) -1) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) -1))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.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 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)) (/.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 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 m (/.f64 v m)) -1)))
(+.f64 (+.f64 (+.f64 m (/.f64 m v)) -1) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) -1))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) m) 1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (+.f64 m -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -1))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (*.f64 m -2))
(fma.f64 m -2 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(pow.f64 m 2)
(*.f64 m m)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(pow.f64 m 2)
(*.f64 m m)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)

localize4.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.1%)

Counts
2 → 30
Calls

12 calls:

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

rewrite115.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
428×log-prod_binary64
392×prod-diff_binary64
355×prod-exp_binary64
325×exp-prod_binary64
298×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117820
2250920
Stop Event
node limit
Counts
2 → 131
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(-.f64 (/.f64 m v) 1)
Outputs
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-1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (neg.f64 (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 m v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)) (+.f64 (pow.f64 (/.f64 v m) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 m v) 1) (+.f64 (pow.f64 (/.f64 m v) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 m v) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 m v) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (/.f64 m v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 m v) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 m v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) m -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 m) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) -1)))))

simplify101.0ms (1.5%)

Algorithm
egg-herbie
Rules
665×fma-neg_binary64
616×div-sub_binary64
510×associate-/r/_binary64
447×cancel-sign-sub-inv_binary64
319×distribute-rgt-out--_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022437
149420
2105379
3299279
41171279
54734279
67829279
Stop Event
node limit
Counts
161 → 147
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
-1
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
-1
-1
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (+.f64 -1 m) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 (+.f64 1 (/.f64 1 v)) m (neg.f64 (/.f64 m (/.f64 v m))))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) m)
(fma.f64 m (/.f64 (-.f64 1 m) v) m)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 (+.f64 1 (/.f64 1 v)) m (neg.f64 (/.f64 m (/.f64 v m))))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) m)
(fma.f64 m (/.f64 (-.f64 1 m) v) m)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
-1
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
-1
-1

localize28.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 22 computations (45% saved)

series11.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite132.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
508×log-prod_binary64
490×prod-diff_binary64
388×pow-prod-down_binary64
261×pow2_binary64
248×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
120138
2288738
Stop Event
node limit
Counts
3 → 198
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)) (cbrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) -1)))))

simplify107.0ms (1.6%)

Algorithm
egg-herbie
Rules
414×distribute-rgt-in_binary64
386×distribute-rgt-out_binary64
343×distribute-lft-in_binary64
339×fma-def_binary64
299×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0371121
1961023
2210994
3600819
42827818
Stop Event
node limit
Counts
270 → 225
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)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-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)))
-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)
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (/.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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (+.f64 (/.f64 m v) -1)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) -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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (+.f64 (/.f64 m v) (+.f64 m -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 (*.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 -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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (+.f64 (/.f64 m v) (+.f64 m -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 (*.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 -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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (+.f64 (/.f64 m v) (+.f64 m -1)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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))
-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 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (/.f64 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (/.f64 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.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 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (/.f64 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v))
(-.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 (-.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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m 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 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

localize35.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 28 computations (31.7% saved)

series13.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

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

rewrite131.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
465×log-prod_binary64
361×prod-exp_binary64
354×exp-prod_binary64
299×pow-prod-down_binary64
249×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
121535
2258535
Stop Event
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1)
(*.f64 (fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))
(/.f64 (-.f64 1 m) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2)) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (-.f64 1 (*.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) 1) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (sqrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v v)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v))) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v v)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v))) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v v))) (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 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(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 v) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (*.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 2) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) (sqrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) 1) (/.f64 (sqrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (cbrt.f64 (*.f64 v v))) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (cbrt.f64 (*.f64 v v))) (/.f64 (sqrt.f64 (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 1 m) v))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (log.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 m)) (*.f64 (log.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (*.f64 (log.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (neg.f64 (log.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 v)) (*.f64 (log1p.f64 (neg.f64 m)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 v) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))))

simplify99.0ms (1.5%)

Algorithm
egg-herbie
Rules
441×distribute-rgt-in_binary64
384×distribute-rgt-out_binary64
361×distribute-lft-in_binary64
345×fma-def_binary64
298×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039899
1104834
2224805
3618666
42946665
Stop Event
node limit
Counts
235 → 208
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)))
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
Outputs
-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 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v 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 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v 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 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))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (+.f64 -1 (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) -2 -1)))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) -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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.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 m (+.f64 (/.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 (fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.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 m (+.f64 (/.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 (fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 -1 (+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(*.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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (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 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(neg.f64 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(neg.f64 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)

eval262.0ms (3.9%)

Compiler

Compiled 13589 to 8305 computations (38.9% saved)

prune101.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New6869695
Fresh639
Picked101
Done224
Total69514709
Error
0b
Counts
709 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
62.6b
(*.f64 m (/.f64 (neg.f64 m) v))
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
11.0b
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
52.7b
(/.f64 (pow.f64 m 3) v)
35.2b
-1
30.3b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
30.2b
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
11.3b
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
34.8b
(+.f64 -1 m)
10.5b
(-.f64 (/.f64 m v) (-.f64 1 m))
30.3b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
41.4b
(/.f64 (*.f64 m (-.f64 1 m)) v)
33.5b
(*.f64 (log1p.f64 (expm1.f64 (+.f64 (/.f64 m v) -1))) (-.f64 1 m))
Compiler

Compiled 265 to 188 computations (29.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 m v) (-.f64 1 m))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
m
@0
(-.f64 (/.f64 m v) (-.f64 1 m))
0.0ms
m
@inf
(-.f64 (/.f64 m v) (-.f64 1 m))
0.0ms
v
@inf
(-.f64 (/.f64 m v) (-.f64 1 m))
0.0ms
m
@-inf
(-.f64 (/.f64 m v) (-.f64 1 m))
0.0ms
v
@0
(-.f64 (/.f64 m v) (-.f64 1 m))

rewrite80.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
846×prod-diff_binary64
642×unpow-prod-down_binary64
391×log-prod_binary64
364×fma-def_binary64
222×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2243010
Stop Event
node limit
Counts
1 → 214
Calls
Call 1
Inputs
(-.f64 (/.f64 m v) (-.f64 1 m))
Outputs
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(neg.f64 (-.f64 1 m)) 1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (-.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 m))) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (-.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (+.f64 (neg.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)) (/.f64 m v))))))

simplify37.0ms (0.6%)

Algorithm
egg-herbie
Rules
192×fma-neg_binary64
182×fma-def_binary64
54×cancel-sign-sub-inv_binary64
34×sub-neg_binary64
27×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013231
124231
241207
359207
498207
5156207
6225207
7387207
8623207
9891207
10981207
11983207
Stop Event
saturated
Counts
238 → 223
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(/.f64 m v)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(/.f64 m v)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (/.f64 (neg.f64 m) v))
Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite48.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
584×pow1_binary64
540×add-log-exp_binary64
539×log1p-expm1-u_binary64
539×expm1-log1p-u_binary64
528×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11317
219427
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 m (/.f64 (neg.f64 m) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.f64 m 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 neg.f64 (*.f64 m (/.f64 m v)))))) (#(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 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 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))))))))

simplify70.0ms (1%)

Algorithm
egg-herbie
Rules
703×fma-neg_binary64
640×distribute-lft-neg-in_binary64
633×distribute-rgt-neg-in_binary64
499×associate-*l*_binary64
462×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08216
117216
234216
368216
4187216
5676216
62935216
74962216
87505216
Stop Event
node limit
Counts
43 → 21
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
Outputs
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
0.2b
(*.f64 m (/.f64 m v))
Compiler

Compiled 25 to 10 computations (60% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
v
@inf
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
1.0ms
v
@0
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
1.0ms
m
@-inf
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
1.0ms
m
@0
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
1.0ms
v
@-inf
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))

rewrite63.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
500×log-prod_binary64
360×exp-prod_binary64
360×pow-prod-down_binary64
313×prod-diff_binary64
247×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118520
2268720
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(*.f64 m (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))))) (#(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 (sqrt.f64 v)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6) 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 pow.f64 (exp.f64 1) (log.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (/.f64 m v)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (/.f64 m v))))) (sqrt.f64 (log.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))))) (#(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 (sqrt.f64 v)) 6))))) (#(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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (/.f64 m v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 m (sqrt.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (/.f64 m v))) 1) 1))))))
((#(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 m (*.f64 (/.f64 m v) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 (/.f64 m v) (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (+.f64 -8 (pow.f64 m 3))) (*.f64 v (-.f64 (fma.f64 m m 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 (-.f64 (fma.f64 m m 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 (pow.f64 (/.f64 (pow.f64 m 3) v) 2) (-.f64 (pow.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) 2) (*.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (*.f64 (/.f64 m v) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2) (pow.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) 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))) (-.f64 (fma.f64 m m 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))) (-.f64 (fma.f64 m m 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 (/.f64 m v) (*.f64 m (+.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m (+.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 (exp.f64 1) (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.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 (/.f64 m v) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (+.f64 m -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))) 1) 1))))) (#(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 m (*.f64 (/.f64 m v) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m m) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m -2) (/.f64 (pow.f64 m 3) v))))) (#(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 fma.f64 (*.f64 m (/.f64 m v)) -2 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (pow.f64 m 3) v) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (*.f64 (/.f64 m v) -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 m v) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) m) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.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 (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) m) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) -2) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.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 -2) (/.f64 m v) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 m 3) v) 1 (*.f64 (*.f64 m (*.f64 (/.f64 m v) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) -2))) 2) (cbrt.f64 (*.f64 m (*.f64 (/.f64 m v) -2))) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2) (cbrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) -2))) (sqrt.f64 (*.f64 m (*.f64 (/.f64 m v) -2))) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (sqrt.f64 (/.f64 (pow.f64 m 3) v)) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 m v)) m (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (/.f64 m v)) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.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 (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4))) (cbrt.f64 (*.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (/.f64 (pow.f64 m 3) v))))))

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Rules
838×associate-/r/_binary64
628×associate-/l/_binary64
536×unswap-sqr_binary64
457×distribute-rgt-out_binary64
423×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015549
137549
277549
3177465
4569465
52640465
Stop Event
node limit
Counts
150 → 110
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)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 (/.f64 (*.f64 m m) v) -2)
(/.f64 (*.f64 (*.f64 m m) -2) v)
(*.f64 (/.f64 m (/.f64 v m)) -2)
(*.f64 m (*.f64 -2 (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m 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 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 m -2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 m 2)))
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 19 computations (38.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite67.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
486×log-prod_binary64
433×prod-exp_binary64
363×exp-prod_binary64
345×pow-prod-down_binary64
232×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
117213
2249413
Stop Event
node limit
Counts
1 → 120
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
Outputs
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simplify56.0ms (0.8%)

Algorithm
egg-herbie
Rules
659×fma-def_binary64
442×unsub-neg_binary64
345×fma-neg_binary64
334×associate-/l*_binary64
317×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021360
153360
2102360
3292328
41295316
55250316
Stop Event
node limit
Counts
144 → 129
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m 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 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m 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 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
Outputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v))
(fma.f64 (/.f64 m v) (*.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 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 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 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 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.8b
(/.f64 (pow.f64 m 3) v)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/.f64 (pow.f64 m 3) v)
1.0ms
m
@0
(/.f64 (pow.f64 m 3) v)
1.0ms
m
@inf
(/.f64 (pow.f64 m 3) v)
1.0ms
v
@inf
(/.f64 (pow.f64 m 3) v)
0.0ms
m
@-inf
(/.f64 (pow.f64 m 3) v)

rewrite47.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
626×pow1_binary64
587×add-log-exp_binary64
587×log1p-expm1-u_binary64
587×expm1-log1p-u_binary64
573×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11337
215927
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 3) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (*.f64 m m) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 m 3) (pow.f64 v -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (*.f64 m (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (/.f64 m (cbrt.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 m (cbrt.f64 v)) 2) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 m 3)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1) (pow.f64 m 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 m 3/2) (*.f64 (pow.f64 m 3/2) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3/2) 1) (/.f64 (pow.f64 m 3/2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (pow.f64 m 3) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3/2) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (pow.f64 m 3/2) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (pow.f64 m 3) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (pow.f64 m 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 m 3) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 6) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
34 → 34
Calls
Call 1
Inputs
Outputs

eval251.0ms (3.7%)

Compiler

Compiled 11249 to 6375 computations (43.3% saved)

prune92.0ms (1.4%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New60311614
Fresh527
Picked011
Done336
Total61117628
Error
0b
Counts
628 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
30.3b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
60.8b
(/.f64 1 (/.f64 v (*.f64 m m)))
10.5b
(-.f64 (/.f64 m v) (-.f64 1 m))
40.7b
(/.f64 m v)
52.9b
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
60.7b
(/.f64 m (/.f64 v m))
10.6b
(/.f64 (-.f64 (*.f64 (neg.f64 m) (+.f64 m 1)) (*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))) (*.f64 (neg.f64 v) (+.f64 m 1)))
35.2b
-1
30.3b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
60.8b
(/.f64 (*.f64 m m) v)
52.6b
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
52.9b
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
52.7b
(/.f64 (pow.f64 m 3) v)
10.6b
(/.f64 (-.f64 (+.f64 m 1) (*.f64 (/.f64 v m) (-.f64 1 (*.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
52.9b
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
41.4b
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 325 to 210 computations (35.4% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 77 to 37 computations (51.9% saved)

series13.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

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

rewrite116.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
671×fma-def_binary64
421×fma-neg_binary64
239×log1p-udef_binary64
237×expm1-udef_binary64
224×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01474
134556
2582346
Stop Event
node limit
Counts
4 → 421
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (neg.f64 m) (+.f64 m 1)) (*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))) (*.f64 (neg.f64 v) (+.f64 m 1)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 (neg.f64 m) (+.f64 m 1))
(-.f64 (*.f64 (neg.f64 m) (+.f64 m 1)) (*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 m m m) (fma.f64 m v v)) (*.f64 (+.f64 m 1) (/.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 m m m) (fma.f64 m v v)) (*.f64 (+.f64 m 1) (/.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (fma.f64 m m 1) (fma.f64 m m m)) (fma.f64 m v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 v (fma.f64 m m 1) (fma.f64 m m m)) (fma.f64 m v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (fma.f64 m m 1) (fma.f64 m m m)) (/.f64 1 (fma.f64 m v v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (fma.f64 m m 1) (fma.f64 m m m)) (fma.f64 m v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 v (fma.f64 m m 1) (fma.f64 m m m)) (fma.f64 m v v))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 v (fma.f64 m m 1) (fma.f64 m m m)) (fma.f64 m v v))) 2))))) (#(struct:change #<rule egg-rr> 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simplify79.0ms (1.2%)

Algorithm
egg-herbie
Rules
519×unsub-neg_binary64
415×fma-def_binary64
402×sub-neg_binary64
277×associate-+l+_binary64
275×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021430
13531282
210941011
343541011
Stop Event
node limit
Counts
505 → 473
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (*.f64 -1 (+.f64 1 (/.f64 1 v)))) (pow.f64 m 2))) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (*.f64 -1 (+.f64 1 (/.f64 1 v)))) (pow.f64 m 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 v))) (*.f64 -1 (/.f64 (+.f64 1 v) v))) (pow.f64 m 3))) (*.f64 (+.f64 1 (/.f64 1 v)) m))) 1)
(/.f64 (*.f64 (+.f64 v 1) m) v)
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (/.f64 1 v)))
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (/.f64 1 v)))) m)))))
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (/.f64 1 v) (*.f64 -1 (/.f64 (+.f64 1 v) v)))) 1) (pow.f64 m 2))) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (/.f64 1 v)))) m))))))
(/.f64 (*.f64 (+.f64 v 1) m) v)
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (/.f64 1 v)))
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (+.f64 1 (/.f64 1 v))) m)))))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (+.f64 (/.f64 1 (*.f64 v (pow.f64 m 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (+.f64 1 (/.f64 1 v))) m)) (*.f64 -1 (/.f64 (+.f64 1 v) (*.f64 v (pow.f64 m 2))))))))))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (-.f64 (/.f64 1 (+.f64 1 m)) (/.f64 (pow.f64 m 2) (+.f64 1 m)))))
(+.f64 (/.f64 m v) (*.f64 -1 (-.f64 (/.f64 1 (+.f64 1 m)) (/.f64 (pow.f64 m 2) (+.f64 1 m)))))
(+.f64 (/.f64 m v) (*.f64 -1 (-.f64 (/.f64 1 (+.f64 1 m)) (/.f64 (pow.f64 m 2) (+.f64 1 m)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(/.f64 (-.f64 (pow.f64 m 2) 1) (+.f64 1 m))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (+.f64 1 m))) (/.f64 1 (+.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (+.f64 1 m))) (/.f64 1 (+.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (+.f64 1 m))) (/.f64 1 (+.f64 1 m)))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 -1 v)
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 v (pow.f64 m 2))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 v (pow.f64 m 2))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 -1 m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
v
(+.f64 v (*.f64 -1 m))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))
(+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2))))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))
(+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2))))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(*.f64 -1 (*.f64 (+.f64 1 m) m))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(*.f64 v (-.f64 1 (pow.f64 m 2)))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 m) m)) (*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 m) m)) (*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 m) m)) (*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1))))
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (+.f64 -1 m) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (*.f64 -1 (+.f64 1 (/.f64 1 v)))) (pow.f64 m 2))) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 1 v) v) (+.f64 1 (/.f64 1 v)))) (*.f64 m m))) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (+.f64 (+.f64 -1 (/.f64 -1 v)) (/.f64 (+.f64 1 v) v)) (*.f64 m m) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (*.f64 m m) (+.f64 -1 (-.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 v) v))) (+.f64 (+.f64 -1 m) (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (*.f64 -1 (+.f64 1 (/.f64 1 v)))) (pow.f64 m 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 (/.f64 1 v))) (*.f64 -1 (/.f64 (+.f64 1 v) v))) (pow.f64 m 3))) (*.f64 (+.f64 1 (/.f64 1 v)) m))) 1)
(+.f64 (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 1 v) v) (+.f64 1 (/.f64 1 v)))) (*.f64 m m)) (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (+.f64 1 v) v))) (pow.f64 m 3)) (*.f64 (+.f64 1 (/.f64 1 v)) m))) -1)
(fma.f64 (+.f64 (+.f64 -1 (/.f64 -1 v)) (/.f64 (+.f64 1 v) v)) (*.f64 m m) (+.f64 (fma.f64 (-.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (+.f64 1 v) v)) (pow.f64 m 3) (*.f64 (+.f64 1 (/.f64 1 v)) m)) -1))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 (*.f64 m (*.f64 m (+.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (-.f64 -1 v) v)))) (+.f64 m -1)) 1))
(+.f64 -1 (+.f64 (/.f64 m v) (-.f64 m (*.f64 (*.f64 m (+.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (-.f64 -1 v) v))) (-.f64 m (*.f64 m m))))))
(/.f64 (*.f64 (+.f64 v 1) m) v)
(/.f64 (+.f64 1 v) (/.f64 v m))
(*.f64 (/.f64 (+.f64 1 v) v) m)
(/.f64 (fma.f64 v m m) v)
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (/.f64 1 v)))
(+.f64 (/.f64 (+.f64 1 v) (/.f64 v m)) (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (-.f64 (*.f64 (/.f64 (+.f64 1 v) v) m) (/.f64 (+.f64 1 v) v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1)))
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (/.f64 1 v)))) m)))))
(+.f64 (/.f64 (+.f64 1 v) (/.f64 v m)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)) (neg.f64 (/.f64 (-.f64 1 (neg.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)))) m))))
(+.f64 (*.f64 (/.f64 (+.f64 1 v) v) m) (+.f64 (-.f64 (/.f64 1 v) (/.f64 (+.f64 1 v) v)) (/.f64 (+.f64 (+.f64 -1 (/.f64 -1 v)) (/.f64 (+.f64 1 v) v)) m)))
(+.f64 (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1)) (+.f64 (/.f64 1 v) (/.f64 (+.f64 -1 (-.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 v) v))) m)))
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (/.f64 1 v) (*.f64 -1 (/.f64 (+.f64 1 v) v)))) 1) (pow.f64 m 2))) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (/.f64 1 v)))) m))))))
(+.f64 (/.f64 (+.f64 1 v) (/.f64 v m)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)) -1) (*.f64 m m)) (/.f64 (-.f64 1 (neg.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)))) m)))))
(+.f64 (/.f64 1 v) (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (+.f64 1 v) v)) (*.f64 m m)) (/.f64 (+.f64 (+.f64 -1 (/.f64 -1 v)) (/.f64 (+.f64 1 v) v)) m)) (/.f64 (+.f64 1 v) v)) (*.f64 (/.f64 (+.f64 1 v) v) m)))
(+.f64 (/.f64 1 v) (+.f64 (*.f64 (+.f64 (/.f64 -1 m) 1) (/.f64 (+.f64 -1 (-.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 v) v))) m)) (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1))))
(+.f64 (/.f64 1 v) (+.f64 (*.f64 (/.f64 (+.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (-.f64 -1 v) v)) m) (-.f64 -1 (/.f64 -1 m))) (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1))))
(/.f64 (*.f64 (+.f64 v 1) m) v)
(/.f64 (+.f64 1 v) (/.f64 v m))
(*.f64 (/.f64 (+.f64 1 v) v) m)
(/.f64 (fma.f64 v m m) v)
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (/.f64 1 v)))
(+.f64 (/.f64 (+.f64 1 v) (/.f64 v m)) (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (-.f64 (*.f64 (/.f64 (+.f64 1 v) v) m) (/.f64 (+.f64 1 v) v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1)))
(+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (+.f64 1 (/.f64 1 v))) m)))))
(+.f64 (/.f64 (+.f64 1 v) (/.f64 v m)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)) (neg.f64 (/.f64 (-.f64 1 (neg.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)))) m))))
(+.f64 (*.f64 (/.f64 (+.f64 1 v) v) m) (+.f64 (-.f64 (/.f64 1 v) (/.f64 (+.f64 1 v) v)) (/.f64 (+.f64 (+.f64 -1 (/.f64 -1 v)) (/.f64 (+.f64 1 v) v)) m)))
(+.f64 (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1)) (+.f64 (/.f64 1 v) (/.f64 (+.f64 -1 (-.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 v) v))) m)))
(+.f64 (/.f64 1 (pow.f64 m 2)) (+.f64 (/.f64 (*.f64 (+.f64 v 1) m) v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 v) v)) (+.f64 (/.f64 1 (*.f64 v (pow.f64 m 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 v 1) v)) (+.f64 1 (/.f64 1 v))) m)) (*.f64 -1 (/.f64 (+.f64 1 v) (*.f64 v (pow.f64 m 2))))))))))
(+.f64 (/.f64 (+.f64 1 v) (/.f64 v m)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)) -1) (*.f64 m m)) (/.f64 (-.f64 1 (neg.f64 (fma.f64 -1 (/.f64 (+.f64 1 v) v) (/.f64 1 v)))) m)))))
(+.f64 (/.f64 1 v) (+.f64 (-.f64 (+.f64 (/.f64 (-.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (+.f64 1 v) v)) (*.f64 m m)) (/.f64 (+.f64 (+.f64 -1 (/.f64 -1 v)) (/.f64 (+.f64 1 v) v)) m)) (/.f64 (+.f64 1 v) v)) (*.f64 (/.f64 (+.f64 1 v) v) m)))
(+.f64 (/.f64 1 v) (+.f64 (*.f64 (+.f64 (/.f64 -1 m) 1) (/.f64 (+.f64 -1 (-.f64 (/.f64 -1 v) (/.f64 (-.f64 -1 v) v))) m)) (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1))))
(+.f64 (/.f64 1 v) (+.f64 (*.f64 (/.f64 (+.f64 (+.f64 1 (/.f64 1 v)) (/.f64 (-.f64 -1 v) v)) m) (-.f64 -1 (/.f64 -1 m))) (*.f64 (/.f64 (+.f64 1 v) v) (+.f64 m -1))))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (-.f64 (/.f64 1 (+.f64 1 m)) (/.f64 (pow.f64 m 2) (+.f64 1 m)))))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (-.f64 (/.f64 1 (+.f64 1 m)) (/.f64 (pow.f64 m 2) (+.f64 1 m)))))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (-.f64 (/.f64 1 (+.f64 1 m)) (/.f64 (pow.f64 m 2) (+.f64 1 m)))))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m)))
(neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 m m))) (+.f64 1 m))
(/.f64 (fma.f64 m m -1) (+.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(/.f64 (-.f64 (pow.f64 m 2) 1) (+.f64 1 m))
(neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 m m))) (+.f64 1 m))
(/.f64 (fma.f64 m m -1) (+.f64 1 m))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (+.f64 1 m))) (/.f64 1 (+.f64 1 m)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (+.f64 1 m))) (/.f64 1 (+.f64 1 m)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (+.f64 1 m))) (/.f64 1 (+.f64 1 m)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m))))
(-.f64 (/.f64 m v) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(+.f64 (/.f64 m v) (/.f64 (fma.f64 m m -1) (+.f64 1 m)))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 (*.f64 v (-.f64 1 (pow.f64 m 2))))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 v)
(neg.f64 v)
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 v (pow.f64 m 2))
(*.f64 v (*.f64 m m))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 v (pow.f64 m 2))
(*.f64 v (*.f64 m m))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(+.f64 (*.f64 -1 v) (*.f64 v (pow.f64 m 2)))
(*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))
(*.f64 v (neg.f64 (-.f64 1 (*.f64 m m))))
(*.f64 v (fma.f64 m m -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
v
(+.f64 v (*.f64 -1 m))
(+.f64 v (neg.f64 m))
(-.f64 v m)
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))
(neg.f64 (*.f64 (*.f64 m m) (+.f64 1 v)))
(*.f64 (*.f64 m m) (+.f64 -1 (neg.f64 v)))
(*.f64 m (*.f64 m (-.f64 -1 v)))
(+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2))))
(*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v))))
(-.f64 (*.f64 (*.f64 m m) (+.f64 -1 (neg.f64 v))) m)
(*.f64 m (-.f64 -1 (fma.f64 v m m)))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))
(neg.f64 (*.f64 (*.f64 m m) (+.f64 1 v)))
(*.f64 (*.f64 m m) (+.f64 -1 (neg.f64 v)))
(*.f64 m (*.f64 m (-.f64 -1 v)))
(+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2))))
(*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v))))
(-.f64 (*.f64 (*.f64 m m) (+.f64 -1 (neg.f64 v))) m)
(*.f64 m (-.f64 -1 (fma.f64 v m m)))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 v (+.f64 (*.f64 -1 m) (*.f64 -1 (*.f64 (+.f64 1 v) (pow.f64 m 2)))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(*.f64 -1 (*.f64 (+.f64 1 m) m))
(*.f64 -1 (+.f64 (*.f64 m m) m))
(neg.f64 (fma.f64 m m m))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(*.f64 v (-.f64 1 (pow.f64 m 2)))
(*.f64 v (-.f64 1 (*.f64 m m)))
(*.f64 v (fma.f64 m (neg.f64 m) 1))
(-.f64 v (*.f64 v (*.f64 m m)))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 (*.f64 v (-.f64 1 (pow.f64 m 2))) (*.f64 -1 (*.f64 (+.f64 1 m) m)))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1)))
(*.f64 v (-.f64 1 (*.f64 m m)))
(*.f64 v (fma.f64 m (neg.f64 m) 1))
(-.f64 v (*.f64 v (*.f64 m m)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 m) m)) (*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 m) m)) (*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 m) m)) (*.f64 -1 (*.f64 v (-.f64 (pow.f64 m 2) 1))))
(+.f64 v (*.f64 -1 (+.f64 m (*.f64 (*.f64 m m) (+.f64 1 v)))))
(-.f64 (-.f64 v m) (*.f64 m (*.f64 m (+.f64 1 v))))
(-.f64 v (fma.f64 m (fma.f64 v m m) m))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
13.3b
(/.f64 (*.f64 m m) v)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
m
@0
(/.f64 (*.f64 m m) v)
0.0ms
v
@-inf
(/.f64 (*.f64 m m) v)
0.0ms
m
@inf
(/.f64 (*.f64 m m) v)
0.0ms
m
@-inf
(/.f64 (*.f64 m m) v)
0.0ms
v
@inf
(/.f64 (*.f64 m m) v)

rewrite43.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
567×pow1_binary64
527×add-log-exp_binary64
527×log1p-expm1-u_binary64
527×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
214467
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 m v) m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) 2) (cbrt.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) m)))))))

simplify117.0ms (1.7%)

Algorithm
egg-herbie
Rules
759×sqr-pow_binary64
434×unswap-sqr_binary64
423×*-commutative_binary64
423×associate-*r/_binary64
393×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5266168
61091168
73478168
84280168
94465168
104681168
115028168
125456168
135935168
146584168
157273168
Stop Event
node limit
Counts
56 → 34
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)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.9b
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
748×pow1_binary64
695×add-log-exp_binary64
694×log1p-expm1-u_binary64
694×expm1-log1p-u_binary64
678×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11727
219777
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (*.f64 (pow.f64 m -2) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (*.f64 (/.f64 1 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (*.f64 (/.f64 v m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (*.f64 v (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (*.f64 (/.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (*.f64 (/.f64 v m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 m -2) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 v m) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m v) (pow.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 m (cbrt.f64 v)) 2) (/.f64 1 (/.f64 m (cbrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) (/.f64 1 (*.f64 m (sqrt.f64 (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (*.f64 -1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (*.f64 (/.f64 1 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (*.f64 (neg.f64 v) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (*.f64 (/.f64 v m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 m) (*.f64 (pow.f64 m -2) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (pow.f64 m 3) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 m 3)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) 1) (*.f64 (neg.f64 v) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 m m)) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 (*.f64 m m))) (*.f64 v -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 m m)) (neg.f64 m)) (*.f64 -1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (*.f64 m m)) (*.f64 (neg.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (neg.f64 (*.f64 m m))) (*.f64 (neg.f64 v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (/.f64 m v)) (/.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 m m)) (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (neg.f64 (*.f64 m m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m 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 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify145.0ms (2.1%)

Algorithm
egg-herbie
Rules
720×sqr-pow_binary64
442×cube-prod_binary64
398×associate-/r/_binary64
382×associate-*r/_binary64
381×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
114168
225168
346168
493168
5267168
61035168
73112168
83779168
93987168
104148168
114442168
124822168
135254168
145767168
156385168
167111168
177432168
187718168
197944168
Stop Event
node limit
Counts
74 → 50
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
Outputs
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)

eval377.0ms (5.6%)

Compiler

Compiled 15327 to 7646 computations (50.1% saved)

prune186.0ms (2.8%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New6477654
Fresh268
Picked011
Done178
Total65021671
Error
0b
Counts
671 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
10.6b
(/.f64 (-.f64 v m) (*.f64 (neg.f64 v) (+.f64 m 1)))
60.7b
(*.f64 (/.f64 m v) m)
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
30.3b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
10.5b
(-.f64 (/.f64 m v) (-.f64 1 m))
40.7b
(/.f64 m v)
52.9b
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
60.7b
(/.f64 m (/.f64 v m))
41.5b
(*.f64 m (/.f64 (-.f64 1 m) v))
52.9b
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
52.7b
(/.f64 (pow.f64 m 3) v)
52.7b
(/.f64 (*.f64 m m) (/.f64 v m))
35.2b
-1
30.3b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
41.5b
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
52.9b
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
60.8b
(/.f64 (*.f64 m m) v)
52.6b
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
52.7b
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
41.5b
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
41.4b
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 198 to 130 computations (34.3% saved)

regimes143.0ms (2.1%)

Counts
43 → 1
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (-.f64 v m) (*.f64 (neg.f64 v) (+.f64 m 1)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(/.f64 (-.f64 (+.f64 m 1) (*.f64 (/.f64 v m) (-.f64 1 (*.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
(/.f64 (-.f64 (*.f64 (neg.f64 m) (+.f64 m 1)) (*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))) (*.f64 (neg.f64 v) (+.f64 m 1)))
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))
(/.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (*.f64 m m))) (+.f64 m 1))
(*.f64 (log1p.f64 (expm1.f64 (+.f64 (/.f64 m v) -1))) (-.f64 1 m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(*.f64 (-.f64 1 m) (log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))
Outputs
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
Calls

4 calls:

39.0ms
m
39.0ms
v
21.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
19.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Results
ErrorSegmentsBranch
0.0b1m
0.0b1v
0.0b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Compiler

Compiled 438 to 245 computations (44.1% saved)

regimes116.0ms (1.7%)

Counts
41 → 1
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (-.f64 v m) (*.f64 (neg.f64 v) (+.f64 m 1)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(/.f64 (-.f64 (+.f64 m 1) (*.f64 (/.f64 v m) (-.f64 1 (*.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
(/.f64 (-.f64 (*.f64 (neg.f64 m) (+.f64 m 1)) (*.f64 (neg.f64 v) (-.f64 1 (*.f64 m m)))) (*.f64 (neg.f64 v) (+.f64 m 1)))
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))
(/.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (*.f64 m m))) (+.f64 m 1))
(*.f64 (log1p.f64 (expm1.f64 (+.f64 (/.f64 m v) -1))) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Calls

3 calls:

38.0ms
v
37.0ms
m
18.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Results
ErrorSegmentsBranch
0.1b1m
0.1b1v
0.1b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Compiler

Compiled 397 to 218 computations (45.1% saved)

regimes70.0ms (1%)

Counts
30 → 1
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (-.f64 v m) (*.f64 (neg.f64 v) (+.f64 m 1)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
Calls

2 calls:

31.0ms
v
27.0ms
m
Results
ErrorSegmentsBranch
0.1b1m
0.1b1v
Compiler

Compiled 242 to 125 computations (48.3% saved)

regimes54.0ms (0.8%)

Counts
29 → 2
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (-.f64 v m) (*.f64 (neg.f64 v) (+.f64 m 1)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
Outputs
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
Calls

2 calls:

30.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
0.1b2m
10.5b1v
Compiler

Compiled 229 to 117 computations (48.9% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
3.8489667410869433e-23
4.3327710752921315e-23
Compiler

Compiled 20 to 15 computations (25% saved)

regimes45.0ms (0.7%)

Counts
24 → 2
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (-.f64 v m) (*.f64 (neg.f64 v) (+.f64 m 1)))
Outputs
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
Calls

2 calls:

25.0ms
m
15.0ms
v
Results
ErrorSegmentsBranch
1.6b2m
10.5b1v
Compiler

Compiled 172 to 81 computations (52.9% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.8274290652065521
4.088579375203183
Compiler

Compiled 20 to 15 computations (25% saved)

regimes33.0ms (0.5%)

Counts
18 → 2
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
Outputs
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
Calls

2 calls:

18.0ms
m
11.0ms
v
Results
ErrorSegmentsBranch
1.6b2m
10.5b1v
Compiler

Compiled 117 to 55 computations (53% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
1.8274290652065521
4.088579375203183
Compiler

Compiled 20 to 15 computations (25% saved)

regimes30.0ms (0.4%)

Counts
16 → 2
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 (*.f64 (/.f64 m v) m) (/.f64 1 m))
(*.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))
Outputs
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m m) (/.f64 v m))
Calls

2 calls:

16.0ms
m
11.0ms
v
Results
ErrorSegmentsBranch
2.0b2m
10.5b1v
Compiler

Compiled 99 to 49 computations (50.5% saved)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.8274290652065521
4.088579375203183
Compiler

Compiled 20 to 15 computations (25% saved)

regimes55.0ms (0.8%)

Counts
12 → 5
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
Outputs
-1
(/.f64 m v)
-1
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m m) (/.f64 v m))
Calls

2 calls:

32.0ms
m
20.0ms
v
Results
ErrorSegmentsBranch
14.4b5m
22.2b2v
Compiler

Compiled 65 to 31 computations (52.3% saved)

bsearch85.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.11484052024384418
0.44820996333954455
22.0ms
4.649357006449268e-128
1.851501656997887e-126
20.0ms
8.576845461150992e-138
3.3271832427779933e-133
23.0ms
1.0534508925246646e-160
1.974437773101706e-159
Compiler

Compiled 20 to 15 computations (25% saved)

regimes51.0ms (0.8%)

Counts
11 → 5
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 1 (/.f64 v (*.f64 m m)))
Outputs
-1
(/.f64 m v)
-1
(/.f64 m v)
(/.f64 (*.f64 m m) (/.f64 v m))
Calls

2 calls:

30.0ms
m
19.0ms
v
Results
ErrorSegmentsBranch
14.4b5m
22.2b2v
Compiler

Compiled 58 to 27 computations (53.4% saved)

bsearch85.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.8274290652065521
4.088579375203183
22.0ms
4.649357006449268e-128
1.851501656997887e-126
21.0ms
8.576845461150992e-138
3.3271832427779933e-133
22.0ms
1.0534508925246646e-160
1.974437773101706e-159
Compiler

Compiled 20 to 15 computations (25% saved)

regimes41.0ms (0.6%)

Counts
9 → 2
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (/.f64 (-.f64 1 m) v))
Outputs
(/.f64 m v)
(+.f64 -1 m)
Calls

2 calls:

22.0ms
m
17.0ms
v
Results
ErrorSegmentsBranch
22.9b4m
22.2b2v
Compiler

Compiled 44 to 23 computations (47.7% saved)

bsearch148.0ms (2.2%)

Algorithm
binary-search
Steps
TimeLeftRight
148.0ms
1.2881870081859591e-188
2.4084341578115013e-186
Compiler

Compiled 104 to 78 computations (25% saved)

regimes24.0ms (0.4%)

Counts
3 → 2
Calls
Call 1
Inputs
-1
-1
(/.f64 m v)
Outputs
(/.f64 m v)
-1
Calls

2 calls:

14.0ms
m
9.0ms
v
Results
ErrorSegmentsBranch
22.9b4m
22.6b2v
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch148.0ms (2.2%)

Algorithm
binary-search
Steps
TimeLeftRight
148.0ms
1.2881870081859591e-188
2.4084341578115013e-186
Compiler

Compiled 90 to 71 computations (21.1% saved)

regimes7.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
-1
Outputs
-1
Calls

2 calls:

3.0ms
v
3.0ms
m
Results
ErrorSegmentsBranch
35.2b1m
35.2b1v
Compiler

Compiled 10 to 8 computations (20% saved)

simplify34.0ms (0.5%)

Algorithm
egg-herbie
Rules
79×distribute-rgt-neg-in_binary64
67×cancel-sign-sub-inv_binary64
56×distribute-lft-neg-out_binary64
48×distribute-lft-neg-in_binary64
46×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059291
176291
286291
397291
4122291
5169291
6231291
7320291
8422291
9498291
10553291
11592291
12622291
13630291
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(if (<=.f64 m 13097355128570360/340282366920938463463374607431768211456) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m)))))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2)))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (*.f64 m m) (/.f64 v m)))
(if (<=.f64 m 6670091063816335/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) -1 (if (<=.f64 m 114996696587912448/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 m v) (if (<=.f64 m 145141234947845024/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 m 2118433686229854464/18446744073709551616) (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m m) (/.f64 v m))))))
(if (<=.f64 m 6670091063816335/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) -1 (if (<=.f64 m 114996696587912448/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 m v) (if (<=.f64 m 145141234947845024/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 m 4115004428555121/2251799813685248) (/.f64 m v) (/.f64 (*.f64 m m) (/.f64 v m))))))
(if (<=.f64 v 47029279782310488/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 m v) (+.f64 -1 m))
(if (<=.f64 v 47029279782310488/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (/.f64 m v) -1)
-1
Outputs
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 m -1))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) -1))
(*.f64 (-.f64 1 m) (+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v))))
(if (<=.f64 m 13097355128570360/340282366920938463463374607431768211456) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m)))))
(if (<=.f64 m 1637169391071295/42535295865117307932921825928971026432) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m)))))
(if (<=.f64 m 1637169391071295/42535295865117307932921825928971026432) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m)))))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4115004428555121/2251799813685248) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2)))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (+.f64 m -2) (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 4115004428555121/2251799813685248) (+.f64 (/.f64 m v) (+.f64 m -1)) (*.f64 (+.f64 m -2) (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 4115004428555121/2251799813685248) (-.f64 (/.f64 m v) (-.f64 1 m)) (/.f64 (*.f64 m m) (/.f64 v m)))
(if (<=.f64 m 4115004428555121/2251799813685248) (+.f64 (/.f64 m v) (+.f64 m -1)) (/.f64 (*.f64 m m) (/.f64 v m)))
(if (<=.f64 m 6670091063816335/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) -1 (if (<=.f64 m 114996696587912448/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 m v) (if (<=.f64 m 145141234947845024/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) -1 (if (<=.f64 m 2118433686229854464/18446744073709551616) (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m m) (/.f64 v m))))))
(if (<=.f64 m 6670091063816335/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) -1 (if (<=.f64 m 449205846046533/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 m v) (if (<=.f64 m 4535663592120157/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) -1 (if (<=.f64 m 8275131586835369/72057594037927936) (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m m) (/.f64 v m))))))
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(if (<=.f64 m 6670091063816335/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) -1 (if (<=.f64 m 449205846046533/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) (/.f64 m v) (if (<=.f64 m 4535663592120157/97554642197374757230674913431036447054643691958280348464348654988292866838117675628759565720734124098744591597543956965482749239977758915821568) -1 (if (<=.f64 m 4115004428555121/2251799813685248) (/.f64 m v) (/.f64 (*.f64 m m) (/.f64 v m))))))
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(if (<=.f64 v 5878659972788811/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712) (/.f64 m v) -1)
-1
Compiler

Compiled 227 to 150 computations (33.9% saved)

soundness93.0ms (1.4%)

Algorithm
egg-herbie
Rules
476×distribute-rgt-in_binary64
396×distribute-lft-in_binary64
389×distribute-rgt-out_binary64
353×fma-def_binary64
273×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038864
199799
2215770
3622688
42989687
Stop Event
node limit
Compiler

Compiled 128 to 96 computations (25% saved)

end99.0ms (1.5%)

Compiler

Compiled 205 to 111 computations (45.9% saved)

Profiling

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