Details

Time bar (total: 5.7s)

analyze34.0ms (0.6%)

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

Compiled 24 to 17 computations (29.2% saved)

sample1.0s (17.6%)

Results
981.0ms8256×body256valid
13.0ms112×body256invalid

preprocess95.0ms (1.7%)

Algorithm
egg-herbie
Rules
820×fma-neg_binary64
653×times-frac_binary64
329×cancel-sign-sub-inv_binary64
302×div-sub_binary64
289×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
26828
315928
460128
5194528
6461028
7657328
8742428
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v)
(*.f64 v (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1))
(*.f64 v (+.f64 (*.f64 (/.f64 v m) (-.f64 1 v)) -1))
(*.f64 v (fma.f64 (/.f64 v m) (-.f64 1 v) -1))
(*.f64 v (fma.f64 (-.f64 1 v) (/.f64 v m) -1))
(*.f64 v (fma.f64 v (/.f64 (-.f64 1 v) m) -1))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify103.0ms (1.8%)

Algorithm
egg-herbie
Rules
1161×fma-def_binary64
913×fma-neg_binary64
433×associate-/l*_binary64
409×div-sub_binary64
291×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
12016
23914
38514
428514
574114
6188914
7328614
8407014
9441614
10502914
11660814
12738614
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

eval1.0ms (0%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 25 to 17 computations (32% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 16 computations (46.7% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite55.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
972×pow1_binary64
901×add-log-exp_binary64
900×log1p-expm1-u_binary64
900×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118325
2233925
Stop Event
node limit
Counts
2 → 38
Calls
Call 1
Inputs
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) 1) (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))))

simplify60.0ms (1%)

Algorithm
egg-herbie
Rules
442×distribute-rgt-neg-in_binary64
436×fma-def_binary64
390×fma-neg_binary64
369×distribute-rgt-out--_binary64
351×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028747
175677
2161677
3384509
41384509
54946509
Stop Event
node limit
Counts
86 → 61
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(-.f64 (/.f64 m (/.f64 v m)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 1 m) (/.f64 v m))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 1 m) (/.f64 v m))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 1 m) (/.f64 v m))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 25 computations (37.5% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite64.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
536×log-prod_binary64
501×prod-diff_binary64
351×pow-prod-down_binary64
264×pow2_binary64
185×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0926
120126
2290924
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(/.f64 (*.f64 m (-.f64 1 m)) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) m) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m (neg.f64 m))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 (-.f64 1 m))) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))))

simplify55.0ms (1%)

Algorithm
egg-herbie
Rules
457×distribute-rgt-neg-in_binary64
417×fma-def_binary64
379×distribute-rgt-out--_binary64
359×distribute-lft-neg-in_binary64
327×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023561
162509
2134509
3326455
41206398
54578398
Stop Event
node limit
Counts
115 → 96
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))

eval44.0ms (0.8%)

Compiler

Compiled 2247 to 1393 computations (38% saved)

prune44.0ms (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New14314157
Fresh000
Picked011
Done101
Total14415159
Error
0b
Counts
159 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
27.2b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
21.9b
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) m) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
10.0b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
37.5b
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
0.8b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1) m)
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
34.1b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
10.5b
(-.f64 (/.f64 m (/.f64 v m)) m)
53.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
37.6b
(neg.f64 m)
21.6b
(*.f64 m (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))))
10.5b
(*.f64 (-.f64 (/.f64 m v) 1) m)
34.1b
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
27.2b
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
Compiler

Compiled 439 to 297 computations (32.3% saved)

localize32.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 25 computations (37.5% saved)

series12.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

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

rewrite114.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
541×prod-diff_binary64
530×log-prod_binary64
361×pow-prod-down_binary64
268×pow2_binary64
203×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
120431
2293531
Stop Event
node limit
Counts
3 → 133
Calls
Call 1
Inputs
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(/.f64 (-.f64 1 m) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 m)) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 (-.f64 1 m))) (neg.f64 v))))) (#(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)) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (-.f64 1 m))) -1)))) (#(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 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 expm1.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(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 exp.f64 (log.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) 2) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) m) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) m) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1)) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 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 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) m (neg.f64 m))))))
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simplify64.0ms (1.1%)

Algorithm
egg-herbie
Rules
467×distribute-rgt-neg-in_binary64
409×distribute-rgt-out--_binary64
407×fma-def_binary64
358×distribute-lft-neg-in_binary64
357×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028856
174771
2158771
3372627
41360597
54859597
Stop Event
node limit
Counts
193 → 155
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (neg.f64 (/.f64 m v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(neg.f64 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(neg.f64 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
0.2b
(*.f64 m (/.f64 (neg.f64 m) v))
Compiler

Compiled 24 to 6 computations (75% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite76.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
687×pow1_binary64
634×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
115214
2223314
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) 1) (/.f64 v m))))) (#(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 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify76.0ms (1.3%)

Algorithm
egg-herbie
Rules
810×distribute-rgt-neg-in_binary64
548×fma-def_binary64
536×unswap-sqr_binary64
509×cancel-sign-sub-inv_binary64
445×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
132432
269432
3156432
4539432
52453432
65178432
Stop Event
node limit
Counts
87 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
Outputs
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 (neg.f64 m) v) m)
(*.f64 m (neg.f64 (/.f64 m v)))
(neg.f64 (/.f64 m (/.f64 v m)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 m) v)
14.7b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
982×pow1_binary64
917×add-log-exp_binary64
916×log1p-expm1-u_binary64
916×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117413
2243613
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 (*.f64 m m) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 m m) (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 m)) (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (neg.f64 (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 (-.f64 1 m) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 m 4) (pow.f64 (/.f64 (-.f64 1 m) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 (/.f64 (-.f64 1 m) v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) (pow.f64 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))))

simplify63.0ms (1.1%)

Algorithm
egg-herbie
Rules
814×fma-def_binary64
402×fma-neg_binary64
354×cancel-sign-sub-inv_binary64
321×associate-*l/_binary64
251×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016382
140361
288361
3236298
4886298
52966298
67732298
Stop Event
node limit
Counts
47 → 30
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (/.f64 m v) (-.f64 1 m))
0.2b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1) m)
0.6b
(cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)
Compiler

Compiled 63 to 37 computations (41.3% saved)

series21.0ms (0.4%)

Counts
4 → 30
Calls

24 calls:

TimeVariablePointExpression
3.0ms
v
@0
(cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
2.0ms
v
@inf
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1) m)
2.0ms
m
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)
1.0ms
m
@0
(pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)
1.0ms
v
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)

rewrite91.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
712×prod-diff_binary64
584×log-prod_binary64
302×pow2_binary64
261×fma-def_binary64
208×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
126946
2336346
Stop Event
node limit
Counts
4 → 249
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)
(cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1) m)
(*.f64 (/.f64 m v) (-.f64 1 m))
Outputs
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(cbrt.f64 m) (pow.f64 v -1)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) (*.f64 (neg.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)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (pow.f64 v -1)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (pow.f64 v -1)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1) m (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1) m (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (*.f64 (/.f64 m v) (neg.f64 m)))))))

simplify59.0ms (1%)

Algorithm
egg-herbie
Rules
887×fma-neg_binary64
690×fma-def_binary64
460×cancel-sign-sub-inv_binary64
379×associate-/l*_binary64
352×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
015355
132313
259313
3137250
4452250
51747250
65771250
Stop Event
node limit
Counts
279 → 177
Calls
Call 1
Inputs
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 m (/.f64 v (neg.f64 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(/.f64 m (/.f64 v (neg.f64 m)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))

eval244.0ms (4.3%)

Compiler

Compiled 9218 to 5006 computations (45.7% saved)

prune153.0ms (2.7%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New47214486
Fresh639
Picked101
Done145
Total48021501
Error
0b
Counts
501 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(-.f64 (*.f64 m (/.f64 m v)) m)
10.5b
(-.f64 (/.f64 m (/.f64 v m)) m)
27.8b
(pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))) 3)
27.2b
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
37.6b
(neg.f64 m)
37.3b
(*.f64 m (/.f64 m v))
10.9b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
37.5b
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
34.1b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
60.5b
(*.f64 m (/.f64 m (/.f64 v m)))
53.4b
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
27.2b
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
34.1b
(/.f64 1 (/.f64 v (*.f64 (*.f64 m m) (-.f64 1 m))))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
53.4b
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
34.1b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
21.9b
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) m) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
53.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
21.6b
(*.f64 m (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))))
44.2b
(*.f64 (*.f64 m m) (/.f64 1 v))
53.4b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
Compiler

Compiled 512 to 333 computations (35% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite87.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
885×pow1_binary64
827×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
808×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114117
2224317
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 m (/.f64 v m))
(-.f64 (/.f64 m (/.f64 v m)) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 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 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (/.f64 (cbrt.f64 m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 m (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 v m))) (/.f64 m (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 m) (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (neg.f64 v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) 1) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 (neg.f64 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 m) 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 m (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2) (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 m)) (-.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 (neg.f64 m) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 (neg.f64 m) (neg.f64 m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 (neg.f64 m) (neg.f64 m))) (-.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(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))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 (*.f64 m (/.f64 m v))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m (neg.f64 m))))))

simplify78.0ms (1.4%)

Algorithm
egg-herbie
Rules
619×associate-/r/_binary64
478×associate-/r*_binary64
435×fma-def_binary64
434×unswap-sqr_binary64
425×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09396
118378
230378
361378
4144378
5482378
62204378
Stop Event
node limit
Counts
124 → 81
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11057
214107
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 m (/.f64 m v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))

simplify131.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5266168
61091168
73478168
84280168
94465168
104681168
115028168
125456168
135935168
146584168
157273168
Stop Event
node limit
Counts
44 → 22
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
0.2b
(/.f64 m (/.f64 v m))
Compiler

Compiled 26 to 6 computations (76.9% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite63.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
774×pow1_binary64
718×add-log-exp_binary64
717×log1p-expm1-u_binary64
717×expm1-log1p-u_binary64
702×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
115610
2230810
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 m (/.f64 v (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 m (/.f64 v (*.f64 m m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (/.f64 v (*.f64 m m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 m (/.f64 v (*.f64 m m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (/.f64 v (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (/.f64 v (*.f64 m m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (/.f64 v (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (/.f64 v (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (/.f64 v (*.f64 m m)))))))))

simplify84.0ms (1.5%)

Algorithm
egg-herbie
Rules
974×fma-def_binary64
619×fma-neg_binary64
552×distribute-lft-neg-in_binary64
550×distribute-rgt-neg-in_binary64
491×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08216
120216
244216
398216
4263216
5797216
63018216
74804216
87804216
Stop Event
node limit
Counts
44 → 22
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
Outputs
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
486×log-prod_binary64
372×exp-prod_binary64
312×pow-prod-down_binary64
232×pow2_binary64
192×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117513
2254613
Stop Event
node limit
Counts
1 → 106
Calls
Call 1
Inputs
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
Outputs
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(2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (/.f64 v m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 v m)) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 v m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) v) (pow.f64 m 3/2) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) v) (pow.f64 m 3/2) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) (*.f64 m m) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) (*.f64 m m) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (*.f64 (cbrt.f64 m) m) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (*.f64 (cbrt.f64 m) m) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 v m)) -2) (/.f64 m (cbrt.f64 (/.f64 v m))) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 v m)) -2) (/.f64 m (cbrt.f64 (/.f64 v m))) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 v m))) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 v m))) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 v m) -1/2) (/.f64 m (sqrt.f64 (/.f64 v m))) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 v m) -1/2) (/.f64 m (sqrt.f64 (/.f64 v m))) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 m) (sqrt.f64 (/.f64 v m))) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 m) (sqrt.f64 (/.f64 v m))) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (neg.f64 v)) (neg.f64 m) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (neg.f64 v)) (neg.f64 m) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) 1) m (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) 1) m (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (neg.f64 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))))

simplify63.0ms (1.1%)

Algorithm
egg-herbie
Rules
814×fma-def_binary64
402×fma-neg_binary64
354×cancel-sign-sub-inv_binary64
321×associate-*l/_binary64
251×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016382
140361
288361
3236298
4886298
52966298
67732298
Stop Event
node limit
Counts
130 → 113
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
0.6b
(cbrt.f64 (/.f64 m v))
0.7b
(pow.f64 (cbrt.f64 (/.f64 m v)) 3)
Compiler

Compiled 37 to 17 computations (54.1% saved)

series9.0ms (0.2%)

Counts
3 → 6
Calls

18 calls:

TimeVariablePointExpression
2.0ms
m
@-inf
(pow.f64 (cbrt.f64 (/.f64 m v)) 3)
1.0ms
m
@0
(pow.f64 (cbrt.f64 (/.f64 m v)) 3)
1.0ms
v
@-inf
(pow.f64 (cbrt.f64 (/.f64 m v)) 3)
1.0ms
v
@-inf
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
0.0ms
m
@inf
(pow.f64 (cbrt.f64 (/.f64 m v)) 3)

rewrite66.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
960×pow1_binary64
901×add-log-exp_binary64
899×log1p-expm1-u_binary64
899×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
121920
2252220
Stop Event
node limit
Counts
3 → 97
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 m v)) 3)
(cbrt.f64 (/.f64 m v))
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 m v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m v)) (cbrt.f64 (pow.f64 (/.f64 m v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m v)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) (cbrt.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 m v))) (cbrt.f64 (pow.f64 (/.f64 m v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 m v) 1/6) (*.f64 (pow.f64 (/.f64 m v) 1/6) (cbrt.f64 (pow.f64 (/.f64 m v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2))) 3) (cbrt.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 m v) 1/6) 3) (pow.f64 (pow.f64 (/.f64 m v) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) 1) (cbrt.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) (pow.f64 (/.f64 m v) 1/6)) (pow.f64 (/.f64 m v) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 v m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 v (cbrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 m) (/.f64 v (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 m)) (neg.f64 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) 1) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 m) (cbrt.f64 (pow.f64 (/.f64 m v) 2))) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) (cbrt.f64 m)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 m v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 m v))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 m v))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2))) (cbrt.f64 (cbrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 m) (cbrt.f64 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 m) (pow.f64 (/.f64 1 v) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 m) (/.f64 1 (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 m v) 1/6) (pow.f64 (/.f64 m v) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 m v)) 1/3) (pow.f64 (sqrt.f64 (/.f64 m v)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 v) (cbrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 m) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 m)) (cbrt.f64 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 m)) (neg.f64 (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m v) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m v) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 m v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (+.f64 (/.f64 m v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 3) -1) m) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 3) -1)) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (+.f64 (/.f64 m v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 (/.f64 m v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))))

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
sub-neg_binary64
+-commutative_binary64
fma-def_binary64
*-commutative_binary64
associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0418
1618
2818
3918
41118
51518
61918
72418
Stop Event
saturated
Counts
103 → 99
Calls
Call 1
Inputs
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 -1 m)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)

eval95.0ms (1.7%)

Compiler

Compiled 5509 to 2138 computations (61.2% saved)

prune70.0ms (1.2%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New4078415
Fresh8412
Picked011
Done178
Total41620436
Error
0b
Counts
436 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
53.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
44.2b
(/.f64 (*.f64 m m) v)
37.6b
(neg.f64 m)
37.3b
(*.f64 m (/.f64 m v))
10.9b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
44.2b
(/.f64 1 (/.f64 v (*.f64 m m)))
21.6b
(*.f64 m (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))))
27.3b
(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 1 m))
53.4b
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
37.3b
(/.f64 m (/.f64 v m))
19.0b
(-.f64 (*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) m)
27.2b
(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m))
34.1b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
60.5b
(*.f64 m (/.f64 m (/.f64 v m)))
53.4b
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
53.4b
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
34.1b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
10.5b
(-.f64 (/.f64 m (/.f64 v m)) m)
10.5b
(-.f64 (*.f64 (/.f64 m v) m) m)
Compiler

Compiled 380 to 239 computations (37.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite57.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
811×pow1_binary64
755×add-log-exp_binary64
755×log1p-expm1-u_binary64
755×expm1-log1p-u_binary64
738×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
113717
2202917
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 (neg.f64 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) (fma.f64 (neg.f64 m) 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) (fma.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (-.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) (cbrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 2)) (cbrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) (sqrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 m)) (-.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 (neg.f64 m) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 (neg.f64 m) (neg.f64 m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 (neg.f64 m) (neg.f64 m))) (-.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 (/.f64 m v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 (/.f64 m v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(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))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (neg.f64 m))))))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Rules
619×associate-/r/_binary64
478×associate-/r*_binary64
435×fma-def_binary64
434×unswap-sqr_binary64
425×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09396
118378
230378
361378
4144378
5482378
62204378
Stop Event
node limit
Counts
106 → 64
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 m (/.f64 m v)) m)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
746×pow1_binary64
692×add-log-exp_binary64
692×log1p-expm1-u_binary64
692×expm1-log1p-u_binary64
676×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113110
2189810
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 m (/.f64 m (/.f64 v m)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m (/.f64 v m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (/.f64 v m)) (/.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 v m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 (/.f64 v m))) (sqrt.f64 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m (/.f64 v m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 (/.f64 v m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m (/.f64 v m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m (/.f64 v m)))))))))

simplify148.0ms (2.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
114168
225168
346168
493168
5267168
61035168
73112168
83779168
93987168
104148168
114442168
124822168
135254168
145767168
156385168
167111168
177432168
187718168
197944168
Stop Event
node limit
Counts
47 → 24
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
Outputs
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 m (/.f64 v (*.f64 m m)))
14.2b
(/.f64 v (*.f64 m m))
Compiler

Compiled 27 to 6 computations (77.8% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite66.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
778×pow1_binary64
726×add-log-exp_binary64
726×log1p-expm1-u_binary64
726×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
113414
2201514
Stop Event
node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 v (*.f64 m m))
(/.f64 m (/.f64 v (*.f64 m m)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 v (pow.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (pow.f64 m -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v (pow.f64 m -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 v (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 v (pow.f64 m -2))) (cbrt.f64 (/.f64 (*.f64 v v) (pow.f64 m 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 v v) (pow.f64 m 4))) (cbrt.f64 (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) m) (/.f64 (sqrt.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (*.f64 m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 m -2) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v m) (/.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) m) (/.f64 (cbrt.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 m 4))) (/.f64 v (pow.f64 (cbrt.f64 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (cbrt.f64 (pow.f64 m 4))) (cbrt.f64 (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (cbrt.f64 (pow.f64 m 4))) (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (pow.f64 m -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (pow.f64 m -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (pow.f64 m -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) m) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (*.f64 m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (pow.f64 m -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (pow.f64 m -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2) (cbrt.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 m v)) m) (*.f64 (sqrt.f64 (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (*.f64 (neg.f64 v) (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) m) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (/.f64 (cbrt.f64 m) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 m (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) (pow.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (*.f64 v (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)))) (/.f64 m (cbrt.f64 (*.f64 v (pow.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)))) (cbrt.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 (*.f64 v v) (pow.f64 m 4)))) (/.f64 (sqrt.f64 m) (cbrt.f64 (*.f64 v (pow.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 v) m)) (/.f64 m (/.f64 (sqrt.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 (sqrt.f64 v) m)) (/.f64 (cbrt.f64 m) (/.f64 (sqrt.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (neg.f64 v)) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) 1) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (cbrt.f64 (pow.f64 m 4))) (pow.f64 (cbrt.f64 m) 2))))) (#(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 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 m v)) m) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (pow.f64 m 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (*.f64 (neg.f64 v) (pow.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 (*.f64 v (pow.f64 m -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify108.0ms (1.9%)

Algorithm
egg-herbie
Rules
827×associate-*l/_binary64
536×unswap-sqr_binary64
521×associate-/r*_binary64
503×sqr-pow_binary64
487×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09336
121336
240336
386336
4235336
51004336
64638336
74807336
85062336
95354336
105738336
116358336
Stop Event
node limit
Counts
120 → 75
Calls
Call 1
Inputs
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 v (pow.f64 m 2))
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
Outputs
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 v (pow.f64 m 2))
(/.f64 v (*.f64 m m))
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)

localize20.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 m m) (-.f64 1 m))
14.6b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
Compiler

Compiled 27 to 13 computations (51.9% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite96.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
981×pow1_binary64
917×add-log-exp_binary64
916×log1p-expm1-u_binary64
916×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117223
2243323
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(*.f64 (*.f64 m m) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 (*.f64 m m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) 2) (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) (*.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))) (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (*.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 m m) (neg.f64 (-.f64 1 m))) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (*.f64 m (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) 1) (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (*.f64 m (-.f64 1 m)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m m) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m m) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 m (-.f64 1 m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 m m)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 m m)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 m 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 m (-.f64 1 m)))))))))

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Rules
530×fma-neg_binary64
393×cancel-sign-sub-inv_binary64
359×associate-*l/_binary64
288×*-commutative_binary64
273×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018497
145467
2108467
3307404
41096404
53643404
Stop Event
node limit
Counts
102 → 79
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(pow.f64 m 2)
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(*.f64 -1 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(*.f64 -1 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(pow.f64 m 2)
(*.f64 m m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(*.f64 -1 (pow.f64 m 3))
(neg.f64 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(*.f64 -1 (pow.f64 m 3))
(neg.f64 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))

eval127.0ms (2.2%)

Compiler

Compiled 3734 to 1696 computations (54.6% saved)

prune96.0ms (1.7%)

Pruning

22 alts after pruning (9 fresh and 13 done)

PrunedKeptTotal
New3182320
Fresh077
Picked011
Done01212
Total31822340
Error
0b
Counts
340 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
53.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
44.2b
(/.f64 (*.f64 m m) v)
37.6b
(neg.f64 m)
37.3b
(*.f64 m (/.f64 m v))
10.9b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
44.2b
(/.f64 1 (/.f64 v (*.f64 m m)))
21.6b
(*.f64 m (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))))
27.3b
(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 1 m))
53.4b
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
37.3b
(/.f64 m (/.f64 v m))
19.0b
(-.f64 (*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) m)
27.2b
(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m))
34.1b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
60.5b
(*.f64 m (/.f64 m (/.f64 v m)))
53.4b
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
53.4b
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
34.1b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
10.5b
(-.f64 (/.f64 m (/.f64 v m)) m)
19.0b
(-.f64 (/.f64 1 (/.f64 v (*.f64 m m))) m)
44.2b
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m)))
10.5b
(-.f64 (*.f64 (/.f64 m v) m) m)
Compiler

Compiled 250 to 159 computations (36.4% saved)

regimes125.0ms (2.2%)

Counts
40 → 1
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(-.f64 (/.f64 1 (/.f64 v (*.f64 m m))) m)
(*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m)))
(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m))
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 1 m))
(-.f64 (*.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m))) m)
(/.f64 1 (/.f64 v (*.f64 (*.f64 m m) (-.f64 1 m))))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))))
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 3) 1) m)
(pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))) 3)
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1) m)
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
(pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) m) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
Outputs
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
Calls

3 calls:

34.0ms
v
34.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
33.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
0.2b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 431 to 224 computations (48% saved)

regimes92.0ms (1.6%)

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

3 calls:

27.0ms
v
27.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
26.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
0.2b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 272 to 126 computations (53.7% saved)

regimes51.0ms (0.9%)

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

2 calls:

24.0ms
v
16.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
Compiler

Compiled 239 to 104 computations (56.5% saved)

regimes98.0ms (1.7%)

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

2 calls:

62.0ms
v
30.0ms
m
Results
ErrorSegmentsBranch
0.4b2m
8.4b5v
Compiler

Compiled 228 to 97 computations (57.5% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.6362514395773175e-14
1.5871554726042745e-13
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes54.0ms (1%)

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

2 calls:

29.0ms
v
19.0ms
m
Results
ErrorSegmentsBranch
2.4b2m
9.5b3v
Compiler

Compiled 132 to 48 computations (63.6% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.76544262010894
1.586766791180485
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes43.0ms (0.7%)

Counts
15 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 m (neg.f64 (/.f64 m (/.f64 v m))))
Calls

2 calls:

23.0ms
v
16.0ms
m
Results
ErrorSegmentsBranch
2.4b2m
9.5b3v
Compiler

Compiled 106 to 36 computations (66% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.76544262010894
1.586766791180485
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes38.0ms (0.7%)

Counts
13 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (*.f64 m m) (neg.f64 (/.f64 m v)))
Calls

2 calls:

21.0ms
v
14.0ms
m
Results
ErrorSegmentsBranch
2.4b2m
9.5b3v
Compiler

Compiled 90 to 31 computations (65.6% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.76544262010894
1.586766791180485
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.4%)

Counts
12 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 1 (/.f64 v (*.f64 m m)))
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(neg.f64 (/.f64 m (/.f64 v (*.f64 m m))))
Calls

2 calls:

13.0ms
m
8.0ms
v
Results
ErrorSegmentsBranch
2.4b2m
10.5b1v
Compiler

Compiled 82 to 29 computations (64.6% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.76544262010894
1.586766791180485
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.3%)

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

2 calls:

9.0ms
v
7.0ms
m
Results
ErrorSegmentsBranch
10.5b1m
10.5b1v
Compiler

Compiled 74 to 27 computations (63.5% saved)

regimes16.0ms (0.3%)

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

2 calls:

8.0ms
v
6.0ms
m
Results
ErrorSegmentsBranch
10.5b1m
10.5b1v
Compiler

Compiled 60 to 23 computations (61.7% saved)

regimes31.0ms (0.5%)

Counts
5 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 1 (/.f64 v (*.f64 m m)))
Outputs
(/.f64 m (/.f64 v m))
(neg.f64 m)
Calls

2 calls:

17.0ms
m
13.0ms
v
Results
ErrorSegmentsBranch
23.5b4m
23.0b2v
Compiler

Compiled 32 to 16 computations (50% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
5.8821438361038635e-204
1.7473972560903625e-203
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.3%)

Accuracy

Total -35.1b remaining (-132.2%)

Threshold costs -35.1b (-132.2%)

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

2 calls:

9.0ms
v
6.0ms
m
Results
ErrorSegmentsBranch
26.6b2m
29.7b2v
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
1.2373104539416605e-148
4.8705137810674524e-148
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
053242
186242
2111242
3133242
4145242
5149242
6150242
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(if (<=.f64 m 8354614299331801/316912650057057350374175801344) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (neg.f64 (/.f64 m (/.f64 v m)))))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 (*.f64 m m) (neg.f64 (/.f64 m v))))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (neg.f64 (/.f64 m (/.f64 v (*.f64 m m)))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(if (<=.f64 v 2126240806436711936/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 m (/.f64 v m)) (neg.f64 m))
(if (<=.f64 m 7125187928794420/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (neg.f64 m) (/.f64 (*.f64 m m) v))
(neg.f64 m)
Outputs
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))
(*.f64 m (+.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v)))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(*.f64 m (+.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) -1))
(*.f64 m (+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v))))
(if (<=.f64 m 8354614299331801/316912650057057350374175801344) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))))
(if (<=.f64 m 6894494197392237/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (*.f64 m (/.f64 (neg.f64 m) v))))
(if (<=.f64 m 6894494197392237/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (*.f64 (/.f64 m v) (neg.f64 m))))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (neg.f64 (/.f64 m (/.f64 v m)))))
(if (<=.f64 m 6894494197392237/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (neg.f64 m) (/.f64 v m))))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 (*.f64 m m) (neg.f64 (/.f64 m v))))
(if (<=.f64 m 6894494197392237/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v)))
(if (<=.f64 m 14119924116259301376/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (neg.f64 (/.f64 m (/.f64 v (*.f64 m m)))))
(if (<=.f64 m 6894494197392237/9007199254740992) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (neg.f64 m) (/.f64 v (*.f64 m m))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(if (<=.f64 v 2126240806436711936/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (/.f64 m (/.f64 v m)) (neg.f64 m))
(if (<=.f64 v 4152814075071703/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728) (/.f64 m (/.f64 v m)) (neg.f64 m))
(if (<=.f64 m 7125187928794420/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (neg.f64 m) (/.f64 (*.f64 m m) v))
(if (<=.f64 m 1781296982198605/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (neg.f64 m) (/.f64 (*.f64 m m) v))
(neg.f64 m)
Compiler

Compiled 192 to 114 computations (40.6% saved)

soundness246.0ms (4.3%)

Algorithm
egg-herbie
Rules
1161×fma-def_binary64
913×fma-neg_binary64
433×associate-/l*_binary64
409×div-sub_binary64
291×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
12016
23914
38514
428514
574114
6188914
7328614
8407014
9441614
10502914
11660814
12738614
Stop Event
node limit
Compiler

Compiled 77 to 53 computations (31.2% saved)

end77.0ms (1.4%)

Compiler

Compiled 168 to 63 computations (62.5% saved)

Profiling

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