Details

Time bar (total: 6.1s)

analyze59.0ms (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)

sample1.1s (18.4%)

Results
1.1s8256×body256valid
15.0ms124×body256invalid

preprocess101.0ms (1.7%)

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)

simplify71.0ms (1.2%)

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)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize13.0ms (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
@0
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

rewrite57.0ms (0.9%)

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))))))))

simplify54.0ms (0.9%)

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 (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 42 to 27 computations (35.7% saved)

series8.0ms (0.1%)

Counts
3 → 51
Calls

18 calls:

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

rewrite81.0ms (1.3%)

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
0942
120142
2294738
Stop Event
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change 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-1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (-.f64 1 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (neg.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change 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fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)) -1)))))

simplify57.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
036779
194723
2207694
3596612
42814611
Stop Event
node limit
Counts
226 → 203
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (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 (/.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 (/.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 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.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 (/.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 (/.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 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.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 (/.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 (/.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))
-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 1 m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (/.f64 (*.f64 -2 (*.f64 m m)) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 (+.f64 m (/.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 (*.f64 m m) v) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (+.f64 m (+.f64 (/.f64 m v) -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 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.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 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (+.f64 m (+.f64 (/.f64 m v) -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 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.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 (+.f64 m (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
-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)))
(+.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 (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)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.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 (/.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)))
(+.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 (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)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.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 (/.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)))
(+.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 (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)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
-1
-1

eval100.0ms (1.6%)

Compiler

Compiled 5139 to 3351 computations (34.8% saved)

prune50.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New25916275
Fresh000
Picked101
Done101
Total26116277
Error
0b
Counts
277 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
27.0b
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
0.2b
(*.f64 (fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))
52.8b
(/.f64 (pow.f64 m 3) v)
0.2b
(+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))
0.2b
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) (-.f64 1 m))
38.1b
-1
0.2b
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
11.1b
(+.f64 m (+.f64 -1 (/.f64 m v)))
0.2b
(*.f64 (-.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
0.1b
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
27.1b
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
27.0b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
11.8b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
37.7b
(+.f64 m -1)
Compiler

Compiled 403 to 287 computations (28.8% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 25 computations (37.5% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
m
@0
(pow.f64 (-.f64 1 m) 2)
1.0ms
v
@0
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
0.0ms
m
@0
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
0.0ms
v
@-inf
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
0.0ms
m
@inf
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)

rewrite58.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
977×pow1_binary64
907×add-log-exp_binary64
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
120721
2244921
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(pow.f64 (-.f64 1 m) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)) (sqrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 3) -1) (+.f64 (*.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) 1) (-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -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 (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 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (-.f64 1 m) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (*.f64 (cbrt.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (sqrt.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (cbrt.f64 (pow.f64 (-.f64 1 m) 2))) (cbrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 m 1) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 m 1) (+.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 m 1)))))) (#(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 m 1))))) (#(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 m 1))))) (#(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 (pow.f64 (-.f64 1 m) 2) 3))))) (#(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))))))))

simplify60.0ms (1%)

Algorithm
egg-herbie
Rules
858×fma-def_binary64
786×fma-neg_binary64
478×unsub-neg_binary64
337×associate-/l*_binary64
259×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030454
176444
2161414
3401386
41513376
56035376
Stop Event
node limit
Counts
85 → 74
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.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 m v) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.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 m v) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.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) 1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 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 m v) 1)
(+.f64 (/.f64 m v) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v)) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v)) -1)
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) -1)
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m v) (*.f64 m -2) -1))
(+.f64 (/.f64 m v) (fma.f64 m (/.f64 -2 (/.f64 v m)) -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (+.f64 (/.f64 m v) -1) (*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2)))
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m (/.f64 v m)) (+.f64 m -2) -1))
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m v) (*.f64 m (+.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 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 m v) (*.f64 m (+.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 (*.f64 m m) v) (+.f64 m -2)))
(fma.f64 (/.f64 m (/.f64 v m)) (+.f64 m -2) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (+.f64 (/.f64 m v) -1) (*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2)))
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m (/.f64 v m)) (+.f64 m -2) -1))
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m v) (*.f64 m (+.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 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(*.f64 (/.f64 m v) (*.f64 m (+.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 (*.f64 m m) v) (+.f64 m -2)))
(fma.f64 (/.f64 m (/.f64 v m)) (+.f64 m -2) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (+.f64 (/.f64 (pow.f64 m 3) v) -1))
(+.f64 (+.f64 (/.f64 m v) -1) (*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2)))
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m (/.f64 v m)) (+.f64 m -2) -1))
(+.f64 (/.f64 m v) (fma.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)) -1))
(/.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) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
-1
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
-1
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1)
(-.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) 1)
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) -1)
(+.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) -1)
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -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)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (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)

series4.0ms (0.1%)

Counts
2 → 30
Calls

12 calls:

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

rewrite67.0ms (1.1%)

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)))))

simplify76.0ms (1.2%)

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

localize14.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite82.0ms (1.3%)

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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simplify64.0ms (1.1%)

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)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))
0.0b
(*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m))
0.3b
(/.f64 (-.f64 1 m) (/.f64 v m))
Compiler

Compiled 52 to 31 computations (40.4% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite95.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
634×log-prod_binary64
390×fma-def_binary64
320×fma-neg_binary64
297×pow2_binary64
250×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
124740
2389540
Stop Event
node limit
Counts
3 → 283
Calls
Call 1
Inputs
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (neg.f64 (*.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 (-.f64 1 m) v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 1 (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (*.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 (*.f64 m (/.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 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) 1) (/.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) v) (/.f64 (sqrt.f64 (-.f64 1 m)) (pow.f64 m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 (-.f64 1 m) (pow.f64 m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 v m))) (/.f64 (-.f64 1 m) (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) v) 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simplify70.0ms (1.2%)

Algorithm
egg-herbie
Rules
940×fma-neg_binary64
409×distribute-rgt-in_binary64
388×distribute-rgt-out_binary64
344×fma-def_binary64
341×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0371138
1971076
22081047
3578924
42748912
Stop Event
node limit
Counts
355 → 310
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)
(/.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)
-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
(/.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 v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 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 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 v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 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 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 v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.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 (/.f64 m (/.f64 v m)) -2 (/.f64 m v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v))
(fma.f64 (/.f64 -2 v) (*.f64 m m) (/.f64 m v))
(*.f64 (/.f64 m v) (+.f64 1 (*.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)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.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)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.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 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 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)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.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)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.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 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 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)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.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)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.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 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))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.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 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(+.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 -1 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)))))
(+.f64 -1 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (+.f64 m (/.f64 m v))))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -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 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v))))
(+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (+.f64 m (/.f64 m v)))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) 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 -1 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)))))
(+.f64 -1 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (+.f64 m (/.f64 m v))))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -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 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v))))
(+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (+.f64 m (/.f64 m v)))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) 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 -1 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 m v)))))
(+.f64 -1 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (+.f64 m (/.f64 m v))))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1))
(/.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 -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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.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 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 -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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.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 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 -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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.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 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 -1 (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) m))

eval276.0ms (4.5%)

Compiler

Compiled 15267 to 9515 computations (37.7% saved)

prune118.0ms (1.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New74511756
Fresh6511
Picked101
Done134
Total75319772
Error
0b
Counts
772 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
12.0b
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
11.5b
(+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) (*.f64 -1 (-.f64 1 m)))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
38.7b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
11.5b
(+.f64 m (fma.f64 (/.f64 m v) (+.f64 1 (*.f64 -2 m)) -1))
11.1b
(+.f64 m (-.f64 (/.f64 m v) 1))
27.0b
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
37.3b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 m v) -1)))) (-.f64 1 m))
38.7b
(*.f64 (/.f64 m v) (-.f64 1 m))
53.2b
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
0.2b
(*.f64 (-.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
0.2b
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
62.7b
(*.f64 m (/.f64 (neg.f64 m) v))
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
27.0b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
11.8b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
37.7b
(+.f64 m -1)
38.1b
-1
Compiler

Compiled 430 to 302 computations (29.8% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1)
0.1b
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
0.3b
(/.f64 (-.f64 1 m) (/.f64 v m))
Compiler

Compiled 40 to 22 computations (45% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite75.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
900×prod-diff_binary64
574×log-prod_binary64
301×fma-neg_binary64
215×fma-def_binary64
214×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
120828
2320828
Stop Event
node limit
Counts
2 → 137
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (*.f64 (neg.f64 m) (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) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (-.f64 1 m)) (neg.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v))) (*.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1)) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1)) (*.f64 (+.f64 1 m) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1)) (*.f64 (+.f64 1 (fma.f64 m m m)) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1)) (*.f64 (+.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) (-.f64 1 (pow.f64 m 3))) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 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(/.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 v m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) v) (/.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (neg.f64 (fma.f64 m (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (neg.f64 (fma.f64 m (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (neg.f64 (fma.f64 m (/.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)) (neg.f64 (fma.f64 m (/.f64 m 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)) (neg.f64 (fma.f64 m (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (neg.f64 (fma.f64 m (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) v) (/.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (sqrt.f64 (-.f64 1 m)) (cbrt.f64 (/.f64 v m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 (-.f64 1 m)) (sqrt.f64 (/.f64 v m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 v)) (neg.f64 m) (neg.f64 (fma.f64 m (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (neg.f64 v)) (neg.f64 m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 m) v) 1) m -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 m) v) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)) (sqrt.f64 m) -1)))))

simplify57.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
037784
196728
2210699
3600587
42833586
Stop Event
node limit
Counts
185 → 164
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)))
-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
-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 -1 (+.f64 m (fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v))))
(+.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 m (-.f64 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.f64 m v)) 1))
(+.f64 -1 (+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.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 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 m (-.f64 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.f64 m v)) 1))
(+.f64 -1 (+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.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 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 m (-.f64 (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.f64 m v)) 1))
(+.f64 -1 (+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.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 (pow.f64 (-.f64 1 m) 2) (/.f64 m 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 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 -1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 -1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 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 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 -1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 -1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 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 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 -1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 -1 m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(/.f64 m (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) 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 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(/.f64 m (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) 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 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -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 (/.f64 m v) (+.f64 (*.f64 (/.f64 m v) m) 1))
(fma.f64 (-.f64 1 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
v
@-inf
(*.f64 m (/.f64 (neg.f64 m) v))

rewrite46.0ms (0.8%)

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))))))))

simplify72.0ms (1.2%)

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 1 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 18 computations (50% saved)

series9.0ms (0.2%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))
1.0ms
v
@0
(*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))
1.0ms
m
@0
(*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))
1.0ms
v
@inf
(*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))
1.0ms
m
@-inf
(*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))

rewrite79.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
569×log-prod_binary64
421×pow-prod-down_binary64
399×fma-def_binary64
289×pow2_binary64
203×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
121234
2319934
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
(*.f64 m (+.f64 m -2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (-.f64 m (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m) 2) (-.f64 m (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m)) (pow.f64 (cbrt.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m)) 2) (cbrt.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 m (*.f64 (+.f64 m 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exp.f64 (*.f64 (log.f64 (fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) (*.f64 m (+.f64 m -2))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (+.f64 m -2) (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (*.f64 m (+.f64 m -2)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (+.f64 m -2)) (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m) 1 m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 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m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m (+.f64 m -2))) (*.f64 (sqrt.f64 (*.f64 m (+.f64 m -2))) (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) (*.f64 m (+.f64 m -2))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m m) (+.f64 m -2)) (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (*.f64 m (+.f64 m -2)) v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (+.f64 m -2)) (cbrt.f64 v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m (+.f64 m -2)) (sqrt.f64 v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) m m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (cbrt.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 2))) (cbrt.f64 (*.f64 m (+.f64 m -2))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 (*.f64 m (+.f64 m -2)))) (sqrt.f64 (*.f64 m (+.f64 m -2))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (+.f64 m -2)) (cbrt.f64 (pow.f64 (/.f64 m v) 2))) (cbrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (+.f64 m -2)) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (/.f64 m v)) 1) (+.f64 m -2) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (/.f64 m v)) (pow.f64 (cbrt.f64 (+.f64 m -2)) 2)) (cbrt.f64 (+.f64 m -2)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (/.f64 m v)) (sqrt.f64 (+.f64 m -2))) (sqrt.f64 (+.f64 m -2)) m)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m m) 1) (*.f64 (*.f64 m -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (+.f64 m -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 6) (pow.f64 (*.f64 m -2) 3)) (+.f64 (pow.f64 m 4) (-.f64 (pow.f64 (*.f64 m -2) 2) (*.f64 (*.f64 m m) (*.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 4) (pow.f64 (*.f64 m -2) 2)) (-.f64 (*.f64 m m) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) m) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) m) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 -8 (pow.f64 m 3))) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 m m -4)) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (+.f64 m -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (+.f64 m -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 m -2)) (exp.f64 (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (+.f64 m -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m m (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -2 (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 m (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) 1 (*.f64 (*.f64 m -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (pow.f64 m 3/2) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) -2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 m) m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (sqrt.f64 m) (*.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m -2)) 2) (cbrt.f64 (*.f64 m -2)) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m -2)) (sqrt.f64 (*.f64 m -2)) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 m)) (sqrt.f64 m) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 5) (cbrt.f64 m) (*.f64 m -2))))))

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Rules
858×associate-/r/_binary64
689×distribute-rgt-out_binary64
536×unswap-sqr_binary64
357×associate-*l*_binary64
350×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021844
153835
2101835
3204649
4648649
53046649
Stop Event
node limit
Counts
216 → 173
Calls
Call 1
Inputs
(*.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)
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
m
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
m
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(*.f64 -2 m)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
Outputs
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(*.f64 -2 (*.f64 m (/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 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))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 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))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) m)
(fma.f64 -2 (/.f64 m (/.f64 v m)) m)
(*.f64 m (fma.f64 (/.f64 -2 v) m 1))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) 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))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) 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))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 m m) (/.f64 v (+.f64 -2 m)))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
m
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
m
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(*.f64 -2 m)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))
(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 -2 m))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))
(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 -2 m))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 -2 m))

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 50 to 33 computations (34% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))
1.0ms
m
@0
(*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))
1.0ms
m
@-inf
(*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))
1.0ms
v
@inf
(*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))
1.0ms
m
@inf
(*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))

rewrite89.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
653×log-prod_binary64
615×fma-def_binary64
307×fma-neg_binary64
230×expm1-udef_binary64
229×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
129026
2431126
Stop Event
node limit
Counts
2 → 228
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))
(+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) (*.f64 -1 (-.f64 1 m)))
Outputs
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(/.f64 m v) (fma.f64 m -2 1) (-.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 (sqrt.f64 (fma.f64 (/.f64 m v) (fma.f64 m -2 1) (-.f64 1 m))) (sqrt.f64 (fma.f64 (/.f64 m v) (fma.f64 m -2 1) (-.f64 1 m))) (+.f64 (-.f64 1 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) 1) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) (fma.f64 m -2 1)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 m 3)) (/.f64 1 (fma.f64 m (+.f64 m 1) 1)) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 3) (pow.f64 (-.f64 1 m) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 (/.f64 m v) (fma.f64 m -2 1) (-.f64 1 m)) 2) (*.f64 (/.f64 m v) (*.f64 (fma.f64 m -2 1) (-.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 (pow.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1)) 3) (pow.f64 (-.f64 1 m) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 (/.f64 m v) (fma.f64 m -2 1) (-.f64 1 m)) 2) (*.f64 (/.f64 m v) (*.f64 (fma.f64 m -2 1) (-.f64 1 m))))) (+.f64 (-.f64 1 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) m (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 m m)) (/.f64 1 (+.f64 m 1)) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (fma.f64 m -2 1) (-.f64 1 m)) 1 (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 (fma.f64 (/.f64 m v) (fma.f64 m -2 1) (-.f64 1 m)) 1 (+.f64 (-.f64 1 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m (*.f64 m -2) m) (/.f64 1 v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (fma.f64 m -2 1) v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (fma.f64 m -2 1) (cbrt.f64 v)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (fma.f64 m -2 1) (sqrt.f64 v)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(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)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(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)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(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)) (fma.f64 (/.f64 m v) (*.f64 m -2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (fma.f64 m -2 1)) (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (-.f64 (sqrt.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))) (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 (fma.f64 (sqrt.f64 (fma.f64 m -2 1)) (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (-.f64 (sqrt.f64 (*.f64 (/.f64 m v) (fma.f64 m -2 1))) (sqrt.f64 (-.f64 1 m))) (+.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 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)) (*.f64 (/.f64 m v) (fma.f64 m -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 (fma.f64 m -2 1)) 2)) (cbrt.f64 (fma.f64 m -2 1)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 (fma.f64 m -2 1))) (sqrt.f64 (fma.f64 m -2 1)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 m -2 1) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)) (cbrt.f64 (/.f64 m v)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 m -2 1) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) (-.f64 1 m))))))

simplify84.0ms (1.4%)

Algorithm
egg-herbie
Rules
442×fma-def_binary64
421×unsub-neg_binary64
330×div-sub_binary64
323×fma-neg_binary64
316×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025761
155731
2115705
3281554
41013554
54107554
67177554
Stop Event
node limit
Counts
276 → 244
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 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.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 m v))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.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 m v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) 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 1 (/.f64 1 v)) m)) 1)
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.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 1 (/.f64 1 v)) m)) 1)
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.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 1 (/.f64 1 v)) m)) 1)
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(*.f64 -2 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (*.f64 m -2))
(*.f64 m (*.f64 m (/.f64 -2 v)))
(*.f64 m (*.f64 (/.f64 m v) -2))
(+.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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(*.f64 -2 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (*.f64 m -2))
(*.f64 m (*.f64 m (/.f64 -2 v)))
(*.f64 m (*.f64 (/.f64 m v) -2))
(+.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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
-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 (/.f64 m v) (+.f64 m -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 -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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(-.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(*.f64 -2 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (*.f64 m -2))
(*.f64 m (*.f64 m (/.f64 -2 v)))
(*.f64 m (*.f64 (/.f64 m v) -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 m (+.f64 1 (/.f64 1 v)) (*.f64 -2 (/.f64 m (/.f64 v m))))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v)))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) m)
(fma.f64 (/.f64 m v) (fma.f64 m -2 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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(-.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(*.f64 -2 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (*.f64 m -2))
(*.f64 m (*.f64 m (/.f64 -2 v)))
(*.f64 m (*.f64 (/.f64 m v) -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 m (+.f64 1 (/.f64 1 v)) (*.f64 -2 (/.f64 m (/.f64 v m))))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v)))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) m)
(fma.f64 (/.f64 m v) (fma.f64 m -2 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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(-.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(/.f64 (fma.f64 -2 (*.f64 m m) m) v)
(*.f64 m (/.f64 (fma.f64 m -2 1) v))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(-.f64 m 1)
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(-.f64 m 1)
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -2 m)) m) v) (*.f64 -1 (-.f64 1 m)))
(+.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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(fma.f64 (/.f64 m v) (fma.f64 m -2 1) (+.f64 m -1))
(fma.f64 m (/.f64 (fma.f64 m -2 1) v) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (fma.f64 m -2 1) -1))

eval248.0ms (4.1%)

Compiler

Compiled 13665 to 8168 computations (40.2% saved)

prune206.0ms (3.4%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New72013733
Fresh2911
Picked101
Done437
Total72725752
Error
0b
Counts
752 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
12.0b
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
61.7b
m
38.8b
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
60.6b
(/.f64 (*.f64 m m) v)
0.2b
(*.f64 (-.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
60.6b
(/.f64 1 (/.f64 v (*.f64 m m)))
0.2b
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
38.7b
(*.f64 (/.f64 m v) (-.f64 1 m))
60.5b
(/.f64 m (/.f64 v m))
38.8b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
11.5b
(+.f64 m (fma.f64 (/.f64 m v) (+.f64 1 (*.f64 -2 m)) -1))
11.1b
(+.f64 m (-.f64 (/.f64 m v) 1))
27.0b
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
37.3b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 m v) -1)))) (-.f64 1 m))
38.0b
(/.f64 m v)
27.0b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
38.8b
(*.f64 m (/.f64 (-.f64 1 m) v))
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
37.7b
(+.f64 m -1)
11.5b
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
52.8b
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
53.2b
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
11.8b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
38.1b
-1
Compiler

Compiled 505 to 346 computations (31.5% saved)

localize34.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
0.1b
(/.f64 v (*.f64 (-.f64 1 m) m))
0.3b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m)))
Compiler

Compiled 54 to 36 computations (33.3% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite96.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
645×log-prod_binary64
340×fma-neg_binary64
295×pow2_binary64
288×fma-def_binary64
258×pow-unpow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01150
124645
2398543
Stop Event
node limit
Counts
3 → 269
Calls
Call 1
Inputs
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m)))
(/.f64 v (*.f64 (-.f64 1 m) m))
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
Outputs
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(-.f64 1 m) v) (-.f64 1 m)) m (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 m) v) (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2)) (cbrt.f64 (*.f64 m (-.f64 1 m))) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 (*.f64 m (-.f64 1 m)))) (sqrt.f64 (*.f64 m (-.f64 1 m))) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)) (*.f64 (-.f64 1 m) (*.f64 (/.f64 (-.f64 1 m) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)) (*.f64 (-.f64 1 m) (*.f64 (/.f64 (-.f64 1 m) v) m)))))))

simplify76.0ms (1.2%)

Algorithm
egg-herbie
Rules
700×fma-def_binary64
493×sub-neg_binary64
407×unswap-sqr_binary64
376×unsub-neg_binary64
314×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0611156
11691118
24371077
313341017
463021017
Stop Event
node limit
Counts
341 → 307
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)
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v m)
(+.f64 v (/.f64 v m))
(+.f64 v (+.f64 (/.f64 v m) (*.f64 v m)))
(+.f64 v (+.f64 (/.f64 v m) (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))))
-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
(/.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 m (/.f64 v m)) (/.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))
(+.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 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.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)))
(+.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 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.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)))
(/.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 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 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.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)))
(+.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 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.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)))
(/.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 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 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.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)))
(+.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 (/.f64 m v) (fma.f64 -2 (/.f64 m (/.f64 v m)) (/.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)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v (*.f64 m (-.f64 1 m)))
(/.f64 v m)
(+.f64 v (/.f64 v m))
(+.f64 v (+.f64 (/.f64 v m) (*.f64 v m)))
(+.f64 v (+.f64 (/.f64 v m) (*.f64 m v)))
(+.f64 v (fma.f64 m v (/.f64 v m)))
(+.f64 (/.f64 v m) (fma.f64 m v v))
(+.f64 v (+.f64 (/.f64 v m) (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m))))
(+.f64 v (+.f64 (/.f64 v m) (*.f64 v (+.f64 (*.f64 m m) m))))
(+.f64 v (fma.f64 v (fma.f64 m m m) (/.f64 v m)))
(+.f64 v (fma.f64 m (fma.f64 m v v) (/.f64 v m)))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(neg.f64 (/.f64 v (*.f64 m m)))
(/.f64 (neg.f64 v) (*.f64 m m))
(/.f64 v (*.f64 m (neg.f64 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))
(*.f64 -1 (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (*.f64 m m))))
(-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (neg.f64 (/.f64 v (*.f64 m m)))))
(-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4)))
(-.f64 (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (*.f64 m m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 5)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (neg.f64 (/.f64 v (*.f64 m m))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 3)))
(-.f64 (-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5)))
(-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 5))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(neg.f64 (/.f64 v (*.f64 m m)))
(/.f64 (neg.f64 v) (*.f64 m m))
(/.f64 v (*.f64 m (neg.f64 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))
(*.f64 -1 (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (*.f64 m m))))
(-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2)))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (neg.f64 (/.f64 v (*.f64 m m)))))
(-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4)))
(-.f64 (*.f64 (/.f64 v (pow.f64 m 3)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (*.f64 m m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 5))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (*.f64 -1 (/.f64 v (pow.f64 m 2))))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 5)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (neg.f64 (/.f64 v (*.f64 m m))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 v) (*.f64 m m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 3)))
(-.f64 (-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 5)))
(-.f64 (*.f64 (/.f64 v (*.f64 m m)) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 5))))
-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 -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 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 -1 (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(fma.f64 -2 (*.f64 m (/.f64 m v)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) -1)))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (-.f64 (/.f64 m v) 1))))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) -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))
(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 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 m (*.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)
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) -1)))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (-.f64 (/.f64 m v) 1))))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) -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))
(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 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 m v) (+.f64 m (*.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)
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) -1)))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (-.f64 (/.f64 m v) 1))))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) -1)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
m
@inf
(*.f64 m (/.f64 m v))
0.0ms
m
@0
(*.f64 m (/.f64 m v))
0.0ms
m
@inf
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
0.0ms
v
@-inf
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
0.0ms
m
@0
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))

rewrite64.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
501×log-prod_binary64
362×exp-prod_binary64
360×pow-prod-down_binary64
293×prod-diff_binary64
247×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118520
2269120
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(*.f64 m (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
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 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -2)) 1) (*.f64 (/.f64 (pow.f64 m 3) v) 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 (fma.f64 m (-.f64 m -2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 4 (*.f64 m m))) (*.f64 v (-.f64 -2 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 m m)) (*.f64 (fma.f64 m (-.f64 m -2) 4) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 m m)) (*.f64 m m)) (*.f64 (-.f64 -2 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 3) (pow.f64 (/.f64 (pow.f64 m 3) v) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 2) (-.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2) (*.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) 2) (pow.f64 (/.f64 (pow.f64 m 3) v) 2)) (-.f64 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule 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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 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) (*.f64 m -2)) (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 m v) (*.f64 (/.f64 m v) (*.f64 m -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 (cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 4)) (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(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 (/.f64 m v) (*.f64 m -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 (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m (sqrt.f64 v)) m) (*.f64 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (*.f64 m (/.f64 m v))) (*.f64 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -2)) 1 (*.f64 (/.f64 (pow.f64 m 3) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) 2) (cbrt.f64 (*.f64 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (*.f64 m -2))) (sqrt.f64 (*.f64 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -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 (*.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))))) (#(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 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (/.f64 m v)) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (/.f64 m v) (*.f64 m -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 (/.f64 m v) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m v) (*.f64 m -2)))))))

simplify48.0ms (0.8%)

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)))

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 18 computations (50% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
m
@0
(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
0.0ms
m
@inf
(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
0.0ms
m
@-inf
(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
0.0ms
v
@-inf
(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
0.0ms
v
@inf
(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))

rewrite75.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
638×log-prod_binary64
376×fma-def_binary64
299×pow2_binary64
218×log-div_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
121827
2353127
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m))
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
Outputs
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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (/.f64 (+.f64 m -2) (/.f64 v m)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (+.f64 m -2) (/.f64 v m)) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (-.f64 m (*.f64 m (/.f64 (+.f64 m -2) (/.f64 v m))))) (/.f64 (pow.f64 (*.f64 m (/.f64 (+.f64 m -2) (/.f64 v m))) 2) (-.f64 m (*.f64 m (/.f64 (+.f64 m -2) (/.f64 v m))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 (/.f64 (+.f64 m -2) (/.f64 v m)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 1 (/.f64 (+.f64 m -2) (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 (+.f64 m -2) (/.f64 v m)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (+.f64 m -2) (/.f64 v m)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (/.f64 (+.f64 m -2) (/.f64 v m)) m)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (+.f64 m -2) (/.f64 v m)) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 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(/.f64 (*.f64 m (+.f64 m -2)) (sqrt.f64 (/.f64 v m))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (+.f64 m -2))) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 (*.f64 m (+.f64 m -2))) (sqrt.f64 (/.f64 v m))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 m (+.f64 m -2)) 1) (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 m (+.f64 m -2)) (neg.f64 v)) (neg.f64 m) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 m -2) (/.f64 v m)) 1) m m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 m -2) (/.f64 v m)) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 m -2) (/.f64 v m)) (sqrt.f64 m)) (sqrt.f64 m) m)))))

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Rules
841×associate-/r/_binary64
688×distribute-rgt-out_binary64
634×associate-/l/_binary64
536×unswap-sqr_binary64
350×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019760
148760
293760
3201574
4631574
52989574
Stop Event
node limit
Counts
190 → 154
Calls
Call 1
Inputs
(*.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)
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
m
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
m
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
Outputs
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (*.f64 -2 m) m) v)
(*.f64 -2 (*.f64 m (/.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 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(/.f64 (+.f64 -2 m) (/.f64 v (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
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m
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(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
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(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
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(/.f64 (+.f64 -2 m) (/.f64 v (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
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(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
m
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(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
m
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(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
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(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)
(+.f64 (/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v) m)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) m)
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (fma.f64 -2 (/.f64 (*.f64 m m) v) m))
(fma.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v) m)
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m)

eval245.0ms (4%)

Compiler

Compiled 13477 to 8175 computations (39.3% saved)

prune113.0ms (1.9%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New7046710
Fresh21517
Picked101
Done077
Total70728735
Error
0b
Counts
735 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
38.8b
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
12.0b
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
38.8b
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
60.6b
(/.f64 (*.f64 m m) v)
0.2b
(*.f64 (-.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
60.6b
(/.f64 1 (/.f64 v (*.f64 m m)))
0.2b
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
38.7b
(*.f64 (/.f64 m v) (-.f64 1 m))
60.5b
(/.f64 m (/.f64 v m))
38.8b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
11.5b
(+.f64 m (fma.f64 (/.f64 m v) (+.f64 1 (*.f64 -2 m)) -1))
11.1b
(+.f64 m (-.f64 (/.f64 m v) 1))
52.9b
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
52.8b
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
37.3b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 m v) -1)))) (-.f64 1 m))
38.0b
(/.f64 m v)
27.0b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
38.8b
(*.f64 m (/.f64 (-.f64 1 m) v))
52.9b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
11.8b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
52.9b
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
11.5b
(+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)))
61.7b
m
37.7b
(+.f64 m -1)
27.0b
(+.f64 (/.f64 m v) (+.f64 m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
38.7b
(+.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))
38.1b
-1
Compiler

Compiled 303 to 207 computations (31.7% saved)

regimes155.0ms (2.5%)

Counts
48 → 1
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 m (-.f64 (/.f64 m v) 1))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
(*.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 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -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 m v) (+.f64 m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) (*.f64 -1 (-.f64 1 m)))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(*.f64 (-.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
(+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))
(/.f64 (pow.f64 m 3) v)
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
(+.f64 m (fma.f64 (/.f64 m v) (+.f64 1 (*.f64 -2 m)) -1))
(*.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 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 m v) -1)))) (-.f64 1 m))
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) (-.f64 1 m))
Outputs
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
Calls

4 calls:

43.0ms
m
41.0ms
v
23.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
21.0ms
(*.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))
0.1b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Compiler

Compiled 500 to 285 computations (43% saved)

regimes144.0ms (2.4%)

Counts
45 → 1
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 m (-.f64 (/.f64 m v) 1))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
(*.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 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -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 m v) (+.f64 m (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) (*.f64 -1 (-.f64 1 m)))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(*.f64 (-.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v))) 1) (-.f64 1 m))
(+.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 (-.f64 1 m) m))) (*.f64 -1 (-.f64 1 m)))
(+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))
(/.f64 (pow.f64 m 3) v)
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(*.f64 (fma.f64 (/.f64 1 v) m -1) (-.f64 1 m))
(+.f64 m (fma.f64 (/.f64 m v) (+.f64 1 (*.f64 -2 m)) -1))
(*.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))
Outputs
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
Calls

4 calls:

40.0ms
m
38.0ms
v
21.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
20.0ms
(*.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))
0.1b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Compiler

Compiled 457 to 256 computations (44% saved)

regimes137.0ms (2.3%)

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

4 calls:

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

Compiled 431 to 239 computations (44.5% saved)

regimes74.0ms (1.2%)

Counts
31 → 1
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 m (-.f64 (/.f64 m v) 1))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
(*.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 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
Outputs
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
Calls

2 calls:

30.0ms
m
28.0ms
v
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
Compiler

Compiled 245 to 123 computations (49.8% saved)

regimes57.0ms (0.9%)

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

2 calls:

27.0ms
m
17.0ms
v
Results
ErrorSegmentsBranch
0.1b2m
11.1b1v
Compiler

Compiled 219 to 107 computations (51.1% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.526318808437896e-15
7.89072479398497e-10
Compiler

Compiled 20 to 15 computations (25% saved)

regimes47.0ms (0.8%)

Counts
28 → 2
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 m (-.f64 (/.f64 m v) 1))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
Calls

2 calls:

26.0ms
m
15.0ms
v
Results
ErrorSegmentsBranch
0.1b2m
11.1b1v
Compiler

Compiled 206 to 99 computations (51.9% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
2.526318808437896e-15
7.89072479398497e-10
Compiler

Compiled 20 to 15 computations (25% saved)

regimes46.0ms (0.8%)

Counts
27 → 2
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 m (-.f64 (/.f64 m v) 1))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))
(+.f64 m (/.f64 (*.f64 m (+.f64 m -2)) (/.f64 v m)))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m (+.f64 m -2))))
Outputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
Calls

2 calls:

25.0ms
m
14.0ms
v
Results
ErrorSegmentsBranch
2.1b2m
11.1b1v
Compiler

Compiled 195 to 92 computations (52.8% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.9765528112922299
51.97105871225626
Compiler

Compiled 20 to 15 computations (25% saved)

regimes39.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 m (-.f64 (/.f64 m v) 1))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
(*.f64 m (*.f64 (-.f64 m 2) (/.f64 m v)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 m (*.f64 (/.f64 m v) (*.f64 m m)))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
Outputs
(+.f64 m (-.f64 (/.f64 m v) 1))
(/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v)
Calls

2 calls:

22.0ms
m
12.0ms
v
Results
ErrorSegmentsBranch
2.1b2m
11.1b1v
Compiler

Compiled 154 to 75 computations (51.3% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.9765528112922299
51.97105871225626
Compiler

Compiled 20 to 15 computations (25% saved)

regimes20.0ms (0.3%)

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

2 calls:

8.0ms
m
8.0ms
v
Results
ErrorSegmentsBranch
11.1b1m
11.1b1v
Compiler

Compiled 91 to 46 computations (49.5% saved)

regimes55.0ms (0.9%)

Counts
12 → 4
Calls
Call 1
Inputs
m
m
-1
(/.f64 m v)
(+.f64 m -1)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
Outputs
-1
(/.f64 m v)
-1
(/.f64 m v)
Calls

2 calls:

27.0ms
v
25.0ms
m
Results
ErrorSegmentsBranch
21.2b4m
24.7b4v
Compiler

Compiled 61 to 31 computations (49.2% saved)

bsearch61.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
1.2477677971843265e-117
2.0715720935351517e-116
21.0ms
1.0114256887997727e-159
9.032619946787307e-158
20.0ms
6.548066602025169e-195
3.735911944622839e-194
Compiler

Compiled 20 to 15 computations (25% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
m
m
-1
Outputs
-1
Calls

2 calls:

4.0ms
v
4.0ms
m
Results
ErrorSegmentsBranch
38.1b1m
38.1b1v
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

2 calls:

5.0ms
v
3.0ms
m
Results
ErrorSegmentsBranch
61.7b1m
61.7b1v
Compiler

Compiled 10 to 6 computations (40% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
054249
178249
284249
386249
487249
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(if (<=.f64 m 800622388471041/316912650057057350374175801344) (+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1))) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 800622388471041/316912650057057350374175801344) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 4398002877043297/4503599627370496) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4398002877043297/4503599627370496) (+.f64 m (-.f64 (/.f64 m v) 1)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(+.f64 m (-.f64 (/.f64 m v) 1))
(if (<=.f64 m 4305465027380307/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) -1 (if (<=.f64 m 4002501146736945/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (/.f64 m v) (if (<=.f64 m 7085359015020277/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) -1 (/.f64 m v))))
-1
m
Outputs
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))))
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m))))
(if (<=.f64 m 800622388471041/316912650057057350374175801344) (+.f64 (+.f64 -1 m) (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1))) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 800622388471041/316912650057057350374175801344) (+.f64 (+.f64 m -1) (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2)))) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 800622388471041/316912650057057350374175801344) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 800622388471041/316912650057057350374175801344) (*.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 4398002877043297/4503599627370496) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4398002877043297/4503599627370496) (*.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4398002877043297/4503599627370496) (+.f64 m (-.f64 (/.f64 m v) 1)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(if (<=.f64 m 4398002877043297/4503599627370496) (+.f64 m (+.f64 (/.f64 m v) -1)) (/.f64 (*.f64 (+.f64 m -2) (*.f64 m m)) v))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(if (<=.f64 m 4305465027380307/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) -1 (if (<=.f64 m 4002501146736945/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176) (/.f64 m v) (if (<=.f64 m 7085359015020277/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) -1 (/.f64 m v))))
-1
m
Compiler

Compiled 197 to 136 computations (31% saved)

soundness237.0ms (3.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0919
12019
24617
313117
447517
5204817
6641517
037784
196728
2210699
3600587
42828586
Stop Event
node limit
node limit
Compiler

Compiled 230 to 170 computations (26.1% saved)

end95.0ms (1.6%)

Compiler

Compiled 175 to 105 computations (40% saved)

Profiling

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