Details

Time bar (total: 2.9s)

analyze91.0ms (3.2%)

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

Compiled 26 to 19 computations (26.9% saved)

sample1.2s (40.2%)

Results
1.1s8256×body128valid
6.0ms55×body128invalid
Compiler

Compiled 52 to 38 computations (26.9% saved)

preprocess32.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
825×rules-15-rev_binary64
602×rules-20_binary64
161×rules-21_binary64
136×rules-4_binary64
120×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
14334
213434
353034
4268434
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.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 (-.f64 1 m) v)) -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 (-.f64 m (fma.f64 m m v)) (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 (-.f64 m (fma.f64 m m v)) v))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
(*.f64 (-.f64 1 v) (+.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) -1))
(*.f64 (-.f64 1 v) (fma.f64 v (/.f64 (-.f64 1 v) m) -1))
(/.f64 (-.f64 v (fma.f64 v v m)) (/.f64 m (-.f64 1 v)))
(*.f64 (-.f64 v (fma.f64 v v m)) (/.f64 (-.f64 1 v) m))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify20.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
484×rules-11_binary64
360×rules-15-rev_binary64
309×rules-20_binary64
259×rules-12-rev_binary64
225×rules-13_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
12617
27517
327517
4135817
Stop Event
1×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 (-.f64 1 m) v)) -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 85 to 61 computations (28.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series23.0ms (0.8%)

Counts
3 → 56
Calls

15 calls:

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

rewrite58.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
448×rules-20_binary64
210×rules-34-rev_binary64
182×rules-21_binary64
173×rules-15-rev_binary64
107×rules-24_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
121934
2307234
Stop Event
1×node limit
Counts
3 → 171
Calls
Call 1
Inputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 m (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 0)))) (#(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 (+.f64 (-.f64 m (*.f64 m m)) v) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 m (*.f64 m m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (-.f64 m (*.f64 m m)) (pow.f64 (cbrt.f64 v) 2)) (-.f64 0 (cbrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 v)) (-.f64 0 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 m (*.f64 m m)) (-.f64 (neg.f64 v) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (-.f64 m (*.f64 m m)) v) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.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 m (*.f64 m m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 m (*.f64 m m)) (fabs.f64 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 m (*.f64 m m))) 2) (/.f64 (cbrt.f64 (-.f64 m (*.f64 m m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 m (*.f64 m m))) 2) (fabs.f64 (/.f64 (cbrt.f64 (-.f64 m (*.f64 m m))) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (cbrt.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (sqrt.f64 (-.f64 m (*.f64 m m))) (/.f64 (sqrt.f64 (-.f64 m (*.f64 m 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 (/.f64 (-.f64 1 m) v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (-.f64 m (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 m (*.f64 m m))) v) (pow.f64 (cbrt.f64 (-.f64 m (*.f64 m m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) v) (sqrt.f64 (-.f64 m (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 (-.f64 1 m) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2)) (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (fma.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(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 (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 m) (*.f64 m (/.f64 (-.f64 1 m) v))) (neg.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 1 m)) (*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 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m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3) (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (fabs.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 m (+.f64 v (*.f64 m m))) (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 m 3)) (/.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 1 (pow.f64 m 3)) (fabs.f64 (/.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 (pow.f64 (*.f64 m (/.f64 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fma.f64 (sqrt.f64 (-.f64 m (*.f64 m m))) (sqrt.f64 (-.f64 m (*.f64 m m))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 m (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 m (*.f64 m m))))))))

simplify33.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
410×rules-15-rev_binary64
384×rules-12-rev_binary64
333×rules-20_binary64
276×rules-13_binary64
173×rules-9-rev_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033866
1108830
2377758
31678676
Stop Event
1×node limit
Counts
227 → 198
Calls
Call 1
Inputs
(/.f64 m v)
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
m
(-.f64 m (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(*.f64 -1 (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(*.f64 -1 (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
(-.f64 m (pow.f64 m 2))
Outputs
(/.f64 m v)
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 (/.f64 (*.f64 m m) v) -1)
(/.f64 (*.f64 m m) (neg.f64 v))
(*.f64 (/.f64 m v) (neg.f64 m))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 (/.f64 (*.f64 m m) v) -1)
(/.f64 (*.f64 m m) (neg.f64 v))
(*.f64 (/.f64 m v) (neg.f64 m))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 m v) (-.f64 m 1))
(+.f64 (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))))
(+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (*.f64 m (/.f64 m v)) 1)))
(-.f64 m (fma.f64 2 (fma.f64 m (/.f64 m v) 1/2) (neg.f64 (/.f64 m v))))
(+.f64 m (/.f64 (-.f64 m (fma.f64 2 (*.f64 m m) v)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (/.f64 m (/.f64 v 2))))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 m 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 2 (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (*.f64 m (/.f64 m (/.f64 v 2)))))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2)))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 2 m))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (/.f64 m (/.f64 v 2))))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 m 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 2 (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (*.f64 m (/.f64 m (/.f64 v 2)))))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2)))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 2 m))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) v)))
(*.f64 m (/.f64 (*.f64 (-.f64 1 m) (-.f64 1 m)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(*.f64 -1 (-.f64 1 m))
(-.f64 -1 (*.f64 -1 m))
(neg.f64 (-.f64 1 m))
(-.f64 -1 (neg.f64 m))
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(*.f64 -1 (-.f64 1 m))
(-.f64 -1 (*.f64 -1 m))
(neg.f64 (-.f64 1 m))
(-.f64 -1 (neg.f64 m))
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 m (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v))) (fma.f64 2 (*.f64 m (/.f64 m v)) 1))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (-.f64 m 2))))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
m
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(*.f64 (*.f64 m m) -1)
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(*.f64 (*.f64 m m) -1)
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))
(-.f64 m (pow.f64 m 2))
(-.f64 m (*.f64 m m))

prune207.0ms (7.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1953198
Fresh101
Picked101
Done000
Total1973200
Error
0b
Counts
200 → 3
Alt Table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
0.2b
(/.f64 (-.f64 1 m) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))
▶0.0b
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
Compiler

Compiled 4184 to 2653 computations (36.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
✓0.0b
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
✓15.6b
(/.f64 (pow.f64 m 2) v)

series31.0ms (1.1%)

Counts
3 → 39
Calls

18 calls:

TimeVariablePointExpression
3.0ms
m
@0
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
2.0ms
v
@-inf
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
2.0ms
v
@inf
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
2.0ms
v
@0
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
2.0ms
v
@-inf
(/.f64 (pow.f64 m 2) v)

rewrite60.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
286×rules-34-rev_binary64
136×add-sqr-sqrt_binary64
132×pow1_binary64
132×rules-40_binary64
132×rules-41_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
129942
2417942
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
Outputs
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#<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 v (/.f64 m v)) (*.f64 m m)) (*.f64 0 v)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (*.f64 0 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (+.f64 (/.f64 (*.f64 m m) (/.f64 v (/.f64 m v))) (pow.f64 (/.f64 m v) 2))))) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (+.f64 (/.f64 (*.f64 m m) (/.f64 v (/.f64 m v))) (pow.f64 (/.f64 m v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 m (*.f64 v (*.f64 m (/.f64 m v)))) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 m (*.f64 v (*.f64 m (/.f64 m v)))) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 v (/.f64 m v)) (*.f64 m m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 v (/.f64 m v)) (*.f64 m m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 m (/.f64 m v)) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) 1 (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))) 2) (cbrt.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))) (sqrt.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))))))))

simplify30.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
822×rules-11_binary64
394×rules-15-rev_binary64
372×rules-12-rev_binary64
322×rules-20_binary64
271×rules-13_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031699
1100665
2356593
31621550
Stop Event
1×node limit
Counts
161 → 145
Calls
Call 1
Inputs
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 m v)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
Outputs
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (+.f64 m (/.f64 m v)) -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (+.f64 m (/.f64 m v)) -1) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v)))
(-.f64 m (-.f64 (fma.f64 m (*.f64 2 (/.f64 m v)) 1) (/.f64 m v)))
(+.f64 m (/.f64 (-.f64 m (fma.f64 m (*.f64 m 2) v)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (/.f64 m (/.f64 v 2))))
(*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2))
(/.f64 (*.f64 (*.f64 m m) (-.f64 m 2)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 2 (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 3) v)))
(-.f64 m (-.f64 (-.f64 (*.f64 m (/.f64 m (/.f64 v 2))) (/.f64 (pow.f64 m 3) v)) (/.f64 m v)))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)))
(+.f64 (+.f64 m (/.f64 m v)) (/.f64 (*.f64 (*.f64 m m) (-.f64 m 2)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 m (/.f64 m (/.f64 v 2))))
(*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2))
(/.f64 (*.f64 (*.f64 m m) (-.f64 m 2)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 2 (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 3) v)))
(-.f64 m (-.f64 (-.f64 (*.f64 m (/.f64 m (/.f64 v 2))) (/.f64 (pow.f64 m 3) v)) (/.f64 m v)))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)))
(+.f64 (+.f64 m (/.f64 m v)) (/.f64 (*.f64 (*.f64 m m) (-.f64 m 2)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(*.f64 -1 (-.f64 1 m))
(-.f64 -1 (*.f64 -1 m))
(neg.f64 (-.f64 1 m))
(-.f64 -1 (neg.f64 m))
(+.f64 -1 m)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(*.f64 -1 (-.f64 1 m))
(-.f64 -1 (*.f64 -1 m))
(neg.f64 (-.f64 1 m))
(-.f64 -1 (neg.f64 m))
(+.f64 -1 m)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 m (-.f64 (fma.f64 2 (*.f64 m (/.f64 m v)) 1) (/.f64 m v))))
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 m 2)) (+.f64 (/.f64 m v) (+.f64 m -1)))
(+.f64 m (/.f64 (-.f64 m (-.f64 v (*.f64 (*.f64 m m) (-.f64 m 2)))) v))
(/.f64 m v)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m m) (neg.f64 v))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m m) (neg.f64 v))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)
(*.f64 -1 (/.f64 (-.f64 (pow.f64 m 2) m) v))
(*.f64 -1 (/.f64 (-.f64 (*.f64 m m) m) v))
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
(/.f64 (+.f64 m (*.f64 m (neg.f64 m))) v)

prune104.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1450145
Fresh022
Picked011
Done000
Total1453148
Error
0b
Counts
148 → 3
Alt Table
StatusErrorProgram
▶0.1b
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
0.2b
(/.f64 (-.f64 1 m) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))
✓0.0b
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
Compiler

Compiled 3034 to 1297 computations (57.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2 (/.f64 (pow.f64 m 2) v))
✓0.0b
(+.f64 (/.f64 m v) m)
✓10.1b
(/.f64 (pow.f64 m 3) v)
15.6b
(/.f64 (pow.f64 m 2) v)

series29.0ms (1%)

Counts
3 → 15
Calls

18 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(/.f64 (pow.f64 m 3) v)
3.0ms
v
@-inf
(/.f64 (pow.f64 m 3) v)
2.0ms
v
@0
(*.f64 2 (/.f64 (pow.f64 m 2) v))
2.0ms
v
@-inf
(*.f64 2 (/.f64 (pow.f64 m 2) v))
2.0ms
v
@inf
(*.f64 2 (/.f64 (pow.f64 m 2) v))

rewrite52.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
256×rules-34-rev_binary64
129×rules-24_binary64
124×add-sqr-sqrt_binary64
120×pow1_binary64
120×rules-40_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
129424
2371324
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 3) v)
(+.f64 (/.f64 m v) m)
(*.f64 2 (/.f64 (pow.f64 m 2) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 m 3) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 m 3) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 m 3) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (/.f64 m (cbrt.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 m (cbrt.f64 v)) 2) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 m 3) (fabs.f64 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 m 3/2) (fabs.f64 (/.f64 (pow.f64 m 3/2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 m 3) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 m 3) v) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 m (cbrt.f64 v)) 2) (/.f64 m (cbrt.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) (/.f64 (pow.f64 m 3/2) (sqrt.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 m (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 m v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 m (/.f64 m v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.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 1 (/.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (+.f64 1 (/.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2) (cbrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (+.f64 (cbrt.f64 m) (/.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (+.f64 (cbrt.f64 (/.f64 m v)) (/.f64 m (pow.f64 (cbrt.f64 (/.f64 m v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) (sqrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (+.f64 (sqrt.f64 m) (/.f64 (/.f64 m v) (sqrt.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 m v)) (+.f64 (sqrt.f64 (/.f64 m v)) (/.f64 m (sqrt.f64 (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (+.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) (pow.f64 (+.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(fabs.f64 (-.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (*.f64 0 (+.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (*.f64 m m) (*.f64 m (/.f64 m v))))))) (+.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (*.f64 m m) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (+.f64 m (*.f64 m v))) 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 (sqrt.f64 (+.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (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 fabs.f64 (+.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 m (fabs.f64 (+.f64 1 (/.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 m v) (fabs.f64 (+.f64 1 (/.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 m) 2) (fabs.f64 (+.f64 (cbrt.f64 m) (/.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (fabs.f64 (+.f64 (cbrt.f64 (/.f64 m v)) (/.f64 m (pow.f64 (cbrt.f64 (/.f64 m v)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 m) (fabs.f64 (+.f64 (sqrt.f64 m) (/.f64 (/.f64 m v) (sqrt.f64 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (/.f64 m v)) (fabs.f64 (+.f64 (sqrt.f64 (/.f64 m v)) (/.f64 m (sqrt.f64 (/.f64 m v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) 1 m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 m (/.f64 m v)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2) (cbrt.f64 (+.f64 m (/.f64 m v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) (sqrt.f64 (+.f64 m (/.f64 m v))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 m (/.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m (/.f64 v 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 m (/.f64 m (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m (/.f64 v 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (*.f64 1 (/.f64 v 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (fabs.f64 (*.f64 1 (/.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (/.f64 m v)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (*.f64 m (/.f64 m (/.f64 v 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 3) (pow.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (sqrt.f64 (/.f64 v 2))) (fabs.f64 (/.f64 1 (/.f64 m (sqrt.f64 (/.f64 v 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 2 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 m m) (*.f64 0 (/.f64 v 2))) (/.f64 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 m (*.f64 2 m)) (*.f64 0 v)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 2 m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (*.f64 2 m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 (*.f64 m m) (*.f64 0 (/.f64 v 2)))) (/.f64 v 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 (*.f64 m (*.f64 2 m)) (*.f64 0 v))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (/.f64 (*.f64 m (*.f64 2 m)) (pow.f64 (cbrt.f64 v) 2))) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (/.f64 (*.f64 m (*.f64 2 m)) (sqrt.f64 v))) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m (/.f64 v 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 (/.f64 v 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 m (/.f64 m (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 m (/.f64 m (/.f64 v 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 m (/.f64 m (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (*.f64 m (/.f64 m v)) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 m (fabs.f64 (/.f64 m (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 m m) (fabs.f64 (/.f64 1 (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) (fabs.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (fabs.f64 (*.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cbrt.f64 (pow.f64 m 4)) (fabs.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (fabs.f64 (*.f64 2 (/.f64 m (sqrt.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (fabs.f64 (*.f64 (/.f64 m (sqrt.f64 v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 m (/.f64 v 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 m (/.f64 m v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) 2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m (/.f64 v 2))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m (/.f64 v 2)))) 2) (cbrt.f64 (*.f64 m (/.f64 m (/.f64 v 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 (/.f64 v 2))) (/.f64 m (sqrt.f64 (/.f64 v 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m (/.f64 v 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m (/.f64 v 2)))))))))

simplify25.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
487×rules-20_binary64
330×rules-15-rev_binary64
239×rules-12-rev_binary64
218×rules-4_binary64
208×rules-6-rev_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08126
115126
23090
36490
417590
549990
6244790
Stop Event
1×node limit
Counts
156 → 145
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(/.f64 m v)
m
m
Outputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(/.f64 m v)
m
m

prune155.0ms (5.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done011
Total1763179
Error
0b
Counts
179 → 3
Alt Table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
▶0.2b
(/.f64 (-.f64 1 m) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))
✓0.0b
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
Compiler

Compiled 4610 to 2553 computations (44.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series34.0ms (1.2%)

Counts
4 → 88
Calls

24 calls:

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

rewrite51.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
982×rules-41_binary64
982×rules-42_binary64
982×rules-43_binary64
97×add-sqr-sqrt_binary64
94×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
122449
2275549
Stop Event
1×node limit
Counts
4 → 128
Calls
Call 1
Inputs
(/.f64 (-.f64 1 m) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 (-.f64 1 m) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 0))))) (#(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 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (*.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 1 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 1 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 m)) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (/.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (*.f64 (cbrt.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (sqrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (sqrt.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (/.f64 1 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (-.f64 1 m) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) (cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -1/2) (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) -1) (pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -1/2) (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 m) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 m) v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2)) (cbrt.f64 (/.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)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) (sqrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 (sqrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) v) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2)) (cbrt.f64 (/.f64 (-.f64 1 m) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) (sqrt.f64 (/.f64 (-.f64 1 m) v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) v)))))))

simplify43.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
491×rules-14-rev_binary64
342×rules-12-rev_binary64
330×rules-15-rev_binary64
320×rules-13_binary64
284×rules-20_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01081840
14051790
217631669
Stop Event
1×node limit
Counts
216 → 188
Calls
Call 1
Inputs
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(*.f64 -1 (-.f64 1 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
-1
(-.f64 (/.f64 m v) 1)
(-.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 (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 (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 (pow.f64 m 2)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
-1
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
-1
(-.f64 (/.f64 m v) (+.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
(neg.f64 (+.f64 1 (/.f64 m v)))
(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (pow.f64 v 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2)))) (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2))))
(-.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (*.f64 2 (/.f64 (pow.f64 v 2) (pow.f64 m 5)))) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 2))))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2))))
(-.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (*.f64 2 (/.f64 (pow.f64 v 2) (pow.f64 m 5)))) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 2))))))
(/.f64 v (-.f64 m (pow.f64 m 2)))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (-.f64 m (pow.f64 m 2)) 2)) (/.f64 v (-.f64 m (pow.f64 m 2))))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (-.f64 m (pow.f64 m 2)) 2)) (+.f64 (/.f64 v (-.f64 m (pow.f64 m 2))) (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (pow.f64 m 2)) 3))))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (-.f64 m (pow.f64 m 2)) 2)) (+.f64 (/.f64 v (-.f64 m (pow.f64 m 2))) (+.f64 (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (pow.f64 m 2)) 3)) (/.f64 (pow.f64 v 4) (pow.f64 (-.f64 m (pow.f64 m 2)) 4)))))
-1
(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2)))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))
(-.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2))) (/.f64 (pow.f64 m 6) (pow.f64 v 3))))) (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (*.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))))
-1
(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2)))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))
(-.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2))) (/.f64 (pow.f64 m 6) (pow.f64 v 3))))) (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (*.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))))
(/.f64 1 v)
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
Outputs
-1
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (+.f64 m (/.f64 m v)) -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (/.f64 m v) (+.f64 -1 m))
(-.f64 (+.f64 (/.f64 m v) m) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))))
(+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
(-.f64 m (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) m) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) (/.f64 v 2)))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 2 (*.f64 m m)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 2 (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (-.f64 (/.f64 (*.f64 m m) (/.f64 v 2)) m))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (-.f64 (/.f64 (*.f64 2 (*.f64 m m)) v) m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(/.f64 (pow.f64 m 3) v)
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (*.f64 2 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) (/.f64 v 2)))
(-.f64 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 2 (*.f64 m m)) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (*.f64 2 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (*.f64 2 (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (-.f64 (/.f64 (*.f64 m m) (/.f64 v 2)) m))
(-.f64 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)) (-.f64 (/.f64 (*.f64 2 (*.f64 m m)) v) m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(/.f64 (*.f64 (-.f64 m (pow.f64 m 2)) (-.f64 1 m)) v)
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 (-.f64 1 m) v))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(-.f64 -1 (*.f64 -1 m))
(neg.f64 (-.f64 1 m))
(-.f64 -1 (neg.f64 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(-.f64 -1 (*.f64 -1 m))
(neg.f64 (-.f64 1 m))
(-.f64 -1 (neg.f64 m))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
(-.f64 (+.f64 m (/.f64 m v)) (-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 m m) v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) (-.f64 m (fma.f64 2 (/.f64 (*.f64 m m) v) 1))))
(-.f64 m (-.f64 (/.f64 (-.f64 (+.f64 v (*.f64 2 (*.f64 m m))) (pow.f64 m 3)) v) (/.f64 m v)))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (neg.f64 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 m (/.f64 (neg.f64 m) v))
(-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(/.f64 (-.f64 m (pow.f64 m 2)) v)
(/.f64 (-.f64 m (*.f64 m m)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
-1
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
-1
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (/.f64 m v) (+.f64 1 (/.f64 (*.f64 m m) v)))
(-.f64 -1 (-.f64 (/.f64 (*.f64 m m) v) (/.f64 m v)))
(/.f64 (-.f64 m (fma.f64 m m v)) v)
-1
(neg.f64 (+.f64 1 (/.f64 m v)))
(neg.f64 (+.f64 (/.f64 m v) 1))
(-.f64 -1 (/.f64 m v))
(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (pow.f64 v 2)))))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) (*.f64 v v)) 1)))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (+.f64 1 (*.f64 m (/.f64 m (*.f64 v v))))))
(/.f64 (-.f64 (*.f64 m m) (+.f64 (/.f64 (*.f64 m m) v) (+.f64 m v))) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2)))) (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))
(-.f64 (/.f64 (pow.f64 m 3) (/.f64 (*.f64 v v) 2)) (-.f64 (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (/.f64 (*.f64 m m) (*.f64 v v)) (/.f64 (pow.f64 m 3) (pow.f64 v 3))))) (/.f64 (*.f64 m m) v)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (*.f64 m m) v)) (+.f64 (+.f64 (/.f64 m v) 1) (+.f64 (*.f64 m (/.f64 m (*.f64 v v))) (/.f64 (pow.f64 m 3) (pow.f64 v 3)))))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (*.f64 m m) v)) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 m m) v) (+.f64 m v)) v) (/.f64 (pow.f64 m 3) (pow.f64 v 3))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(*.f64 -1 (/.f64 v (*.f64 m m)))
(/.f64 v (neg.f64 (*.f64 m m)))
(/.f64 v (*.f64 m (neg.f64 m)))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2))))
(neg.f64 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))))
(-.f64 (/.f64 v (*.f64 m (neg.f64 m))) (/.f64 v (pow.f64 m 3)))
(-.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2)))))
(-.f64 (-.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)) (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))))
(-.f64 (-.f64 (*.f64 v (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))))
(-.f64 (*.f64 v (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (*.f64 m m)) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 4)))))
(-.f64 (+.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (*.f64 2 (/.f64 (pow.f64 v 2) (pow.f64 m 5)))) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 2))))))
(-.f64 (+.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)) (*.f64 2 (/.f64 (*.f64 v v) (pow.f64 m 5)))) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 4)))))
(-.f64 (fma.f64 2 (*.f64 v (/.f64 v (pow.f64 m 5))) (*.f64 v (/.f64 v (pow.f64 m 4)))) (+.f64 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 5)))))
(-.f64 (-.f64 (-.f64 (fma.f64 2 (*.f64 v (/.f64 v (pow.f64 m 5))) (*.f64 v (/.f64 v (pow.f64 m 4)))) (/.f64 v (pow.f64 m 4))) (/.f64 v (*.f64 m m))) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 5))))
(*.f64 -1 (/.f64 v (pow.f64 m 2)))
(*.f64 -1 (/.f64 v (*.f64 m m)))
(/.f64 v (neg.f64 (*.f64 m m)))
(/.f64 v (*.f64 m (neg.f64 m)))
(neg.f64 (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2))))
(neg.f64 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))))
(-.f64 (/.f64 v (*.f64 m (neg.f64 m))) (/.f64 v (pow.f64 m 3)))
(-.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 2)))))
(-.f64 (-.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)) (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))))
(-.f64 (-.f64 (*.f64 v (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))))
(-.f64 (*.f64 v (/.f64 v (pow.f64 m 4))) (+.f64 (/.f64 v (*.f64 m m)) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 4)))))
(-.f64 (+.f64 (/.f64 (pow.f64 v 2) (pow.f64 m 4)) (*.f64 2 (/.f64 (pow.f64 v 2) (pow.f64 m 5)))) (+.f64 (/.f64 v (pow.f64 m 4)) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (/.f64 v (pow.f64 m 5)) (/.f64 v (pow.f64 m 2))))))
(-.f64 (+.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)) (*.f64 2 (/.f64 (*.f64 v v) (pow.f64 m 5)))) (+.f64 (/.f64 v (pow.f64 m 3)) (+.f64 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 5))) (/.f64 v (pow.f64 m 4)))))
(-.f64 (fma.f64 2 (*.f64 v (/.f64 v (pow.f64 m 5))) (*.f64 v (/.f64 v (pow.f64 m 4)))) (+.f64 (+.f64 (/.f64 v (*.f64 m m)) (/.f64 v (pow.f64 m 3))) (+.f64 (/.f64 v (pow.f64 m 4)) (/.f64 v (pow.f64 m 5)))))
(-.f64 (-.f64 (-.f64 (fma.f64 2 (*.f64 v (/.f64 v (pow.f64 m 5))) (*.f64 v (/.f64 v (pow.f64 m 4)))) (/.f64 v (pow.f64 m 4))) (/.f64 v (*.f64 m m))) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 5))))
(/.f64 v (-.f64 m (pow.f64 m 2)))
(/.f64 v (-.f64 m (*.f64 m m)))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (-.f64 m (pow.f64 m 2)) 2)) (/.f64 v (-.f64 m (pow.f64 m 2))))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (/.f64 (*.f64 v v) (pow.f64 (-.f64 m (*.f64 m m)) 2)))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (*.f64 v (/.f64 v (pow.f64 (-.f64 m (*.f64 m m)) 2))))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (-.f64 m (pow.f64 m 2)) 2)) (+.f64 (/.f64 v (-.f64 m (pow.f64 m 2))) (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (pow.f64 m 2)) 3))))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (+.f64 (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (*.f64 m m)) 3)) (/.f64 (*.f64 v v) (pow.f64 (-.f64 m (*.f64 m m)) 2))))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (+.f64 (*.f64 v (/.f64 v (pow.f64 (-.f64 m (*.f64 m m)) 2))) (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (*.f64 m m)) 3))))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (+.f64 (/.f64 (*.f64 v v) (pow.f64 (-.f64 m (*.f64 m m)) 2)) (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (*.f64 m m)) 3))))
(+.f64 (/.f64 (pow.f64 v 2) (pow.f64 (-.f64 m (pow.f64 m 2)) 2)) (+.f64 (/.f64 v (-.f64 m (pow.f64 m 2))) (+.f64 (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (pow.f64 m 2)) 3)) (/.f64 (pow.f64 v 4) (pow.f64 (-.f64 m (pow.f64 m 2)) 4)))))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (+.f64 (+.f64 (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (*.f64 m m)) 3)) (/.f64 (pow.f64 v 4) (pow.f64 (-.f64 m (*.f64 m m)) 4))) (/.f64 (*.f64 v v) (pow.f64 (-.f64 m (*.f64 m m)) 2))))
(+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (+.f64 (*.f64 v (/.f64 v (pow.f64 (-.f64 m (*.f64 m m)) 2))) (+.f64 (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (*.f64 m m)) 3)) (/.f64 (pow.f64 v 4) (pow.f64 (-.f64 m (*.f64 m m)) 4)))))
(+.f64 (+.f64 (/.f64 v (-.f64 m (*.f64 m m))) (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 m (*.f64 m m)) 3))) (+.f64 (/.f64 (*.f64 v v) (pow.f64 (-.f64 m (*.f64 m m)) 2)) (/.f64 (pow.f64 v 4) (pow.f64 (-.f64 m (*.f64 m m)) 4))))
-1
(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 1 (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) 1))
(/.f64 (-.f64 (*.f64 m m) (+.f64 m v)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2)))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))
(-.f64 (+.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) (/.f64 (*.f64 v v) 2))) (+.f64 1 (+.f64 (+.f64 (/.f64 m v) (/.f64 (*.f64 m m) (*.f64 v v))) (/.f64 (pow.f64 m 4) (*.f64 v v)))))
(-.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 4) (*.f64 v v))) (/.f64 m v)) (+.f64 1 (*.f64 m (/.f64 m (*.f64 v v)))))
(-.f64 (*.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v))) (/.f64 (-.f64 (/.f64 (pow.f64 m 4) v) (-.f64 (*.f64 m m) (+.f64 (/.f64 (*.f64 m m) v) (+.f64 m v)))) v))
(-.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2))) (/.f64 (pow.f64 m 6) (pow.f64 v 3))))) (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (*.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))))
(-.f64 (fma.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3)) (+.f64 (/.f64 (*.f64 m m) v) (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (pow.f64 m 6) (pow.f64 v 3))))) (+.f64 (/.f64 m v) (+.f64 (fma.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3)) (+.f64 (/.f64 (*.f64 m m) (*.f64 v v)) (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (/.f64 (pow.f64 m 3) (pow.f64 v 3))))) 1)))
(-.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (pow.f64 m 6) (pow.f64 v 3))) (fma.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3)) (/.f64 (*.f64 m m) v))) (+.f64 1 (+.f64 (+.f64 (*.f64 m (/.f64 m (*.f64 v v))) (/.f64 (pow.f64 m 3) (pow.f64 v 3))) (+.f64 (fma.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3)) (/.f64 (pow.f64 m 4) (*.f64 v v))) (/.f64 m v)))))
(-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (pow.f64 m 6) (pow.f64 v 3))) (fma.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3)) (/.f64 (*.f64 m m) v))) (fma.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3)) (/.f64 (+.f64 (pow.f64 m 4) (fma.f64 m m (*.f64 (*.f64 v v) (/.f64 (pow.f64 m 3) (pow.f64 v 3))))) (*.f64 v v)))) (+.f64 (/.f64 m v) 1))
-1
(-.f64 (/.f64 (pow.f64 m 2) v) (+.f64 1 (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) 1))
(/.f64 (-.f64 (*.f64 m m) (+.f64 m v)) v)
(-.f64 (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2)))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 1 (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))
(-.f64 (+.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) (/.f64 (*.f64 v v) 2))) (+.f64 1 (+.f64 (+.f64 (/.f64 m v) (/.f64 (*.f64 m m) (*.f64 v v))) (/.f64 (pow.f64 m 4) (*.f64 v v)))))
(-.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (*.f64 m m) v)) (/.f64 (pow.f64 m 4) (*.f64 v v))) (/.f64 m v)) (+.f64 1 (*.f64 m (/.f64 m (*.f64 v v)))))
(-.f64 (*.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v))) (/.f64 (-.f64 (/.f64 (pow.f64 m 4) v) (-.f64 (*.f64 m m) (+.f64 (/.f64 (*.f64 m m) v) (+.f64 m v)))) v))
(-.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 2) v) (+.f64 (*.f64 2 (/.f64 (pow.f64 m 3) (pow.f64 v 2))) (/.f64 (pow.f64 m 6) (pow.f64 v 3))))) (+.f64 1 (+.f64 (/.f64 m v) (+.f64 (*.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3))) (+.f64 (/.f64 (pow.f64 m 4) (pow.f64 v 2)) (+.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)) (/.f64 (pow.f64 m 2) (pow.f64 v 2))))))))
(-.f64 (fma.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3)) (+.f64 (/.f64 (*.f64 m m) v) (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (pow.f64 m 6) (pow.f64 v 3))))) (+.f64 (/.f64 m v) (+.f64 (fma.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3)) (+.f64 (/.f64 (*.f64 m m) (*.f64 v v)) (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (/.f64 (pow.f64 m 3) (pow.f64 v 3))))) 1)))
(-.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (pow.f64 m 6) (pow.f64 v 3))) (fma.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3)) (/.f64 (*.f64 m m) v))) (+.f64 1 (+.f64 (+.f64 (*.f64 m (/.f64 m (*.f64 v v))) (/.f64 (pow.f64 m 3) (pow.f64 v 3))) (+.f64 (fma.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3)) (/.f64 (pow.f64 m 4) (*.f64 v v))) (/.f64 m v)))))
(-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 m 3) (*.f64 v v)) (/.f64 (pow.f64 m 6) (pow.f64 v 3))) (fma.f64 3 (/.f64 (pow.f64 m 4) (pow.f64 v 3)) (/.f64 (*.f64 m m) v))) (fma.f64 3 (/.f64 (pow.f64 m 5) (pow.f64 v 3)) (/.f64 (+.f64 (pow.f64 m 4) (fma.f64 m m (*.f64 (*.f64 v v) (/.f64 (pow.f64 m 3) (pow.f64 v 3))))) (*.f64 v v)))) (+.f64 (/.f64 m v) 1))
(/.f64 1 v)
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 m v))
(/.f64 (*.f64 -1 m) v)
(/.f64 m (neg.f64 v))
(/.f64 (neg.f64 m) v)
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 m v))
(/.f64 (*.f64 -1 m) v)
(/.f64 m (neg.f64 v))
(/.f64 (neg.f64 m) v)
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (+.f64 m -1) v))
(neg.f64 (/.f64 (+.f64 -1 m) v))
(/.f64 (+.f64 1 (neg.f64 m)) v)
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (+.f64 m -1) v))
(neg.f64 (/.f64 (+.f64 -1 m) v))
(/.f64 (+.f64 1 (neg.f64 m)) v)
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (+.f64 m -1) v))
(neg.f64 (/.f64 (+.f64 -1 m) v))
(/.f64 (+.f64 1 (neg.f64 m)) v)
(*.f64 -1 (/.f64 (-.f64 m 1) v))
(*.f64 -1 (/.f64 (+.f64 m -1) v))
(neg.f64 (/.f64 (+.f64 -1 m) v))
(/.f64 (+.f64 1 (neg.f64 m)) v)

prune138.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1880188
Fresh000
Picked011
Done022
Total1883191
Error
0b
Counts
191 → 3
Alt Table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓0.2b
(/.f64 (-.f64 1 m) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))
✓0.0b
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
Compiler

Compiled 3665 to 2537 computations (30.8% saved)

regimes408.0ms (14.1%)

Accuracy

Total 0.1b remaining (77.6%)

Threshold costs 0.1b (77.6%)

Counts
152 → 1
Compiler

Compiled 7371 to 5265 computations (28.6% saved)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
11422
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (-.f64 (/.f64 m v) (/.f64 (pow.f64 m 2) v)) 1) (-.f64 1 m))

end65.0ms (2.2%)

Stop Event
1×done
Compiler

Compiled 90 to 64 computations (28.9% saved)

Profiling

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