Details

Time bar (total: 5.0s)

analyze33.0ms (0.7%)

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)

sample1.2s (24%)

Results
1.2s8256×body256valid
18.0ms108×body256invalid

preprocess59.0ms (1.2%)

Algorithm
egg-herbie
Rules
820×fma-neg_binary64
648×times-frac_binary64
328×cancel-sign-sub-inv_binary64
300×div-sub_binary64
287×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
26828
315928
459228
5190628
6451128
7644628
8727028
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)

simplify61.0ms (1.2%)

Algorithm
egg-herbie
Rules
1175×fma-def_binary64
913×fma-neg_binary64
424×associate-/l*_binary64
409×div-sub_binary64
299×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
12016
23914
38514
428014
572614
6185814
7323614
8402714
9437314
10498414
11654814
12732214
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))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 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
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
Compiler

Compiled 25 to 17 computations (32% saved)

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiled 32 to 20 computations (37.5% saved)

series9.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

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

rewrite68.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
630×unpow-prod-down_binary64
452×log-prod_binary64
343×exp-prod_binary64
276×pow-prod-down_binary64
246×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
118632
2244132
Stop Event
node limit
Counts
3 → 179
Calls
Call 1
Inputs
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (-.f64 1 m) v)
Outputs
((#(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 v (-.f64 1 m))) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m (/.f64 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 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 pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (sqrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m (/.f64 v (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m (neg.f64 m))))) (#(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 +.f64 -1 (/.f64 m (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m 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2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))
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(cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 v) (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 m) -1/2) -1) (pow.f64 (/.f64 v (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (-.f64 1 m))) -1) (pow.f64 (/.f64 (cbrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1) (pow.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (-.f64 1 (pow.f64 m 3))) -1) (/.f64 1 (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (-.f64 1 (*.f64 m m))) -1) (/.f64 1 (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 v) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) v)))))))

simplify54.0ms (1.1%)

Algorithm
egg-herbie
Rules
451×distribute-rgt-neg-in_binary64
431×fma-def_binary64
402×distribute-rgt-out--_binary64
377×fma-neg_binary64
345×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031862
183783
2175783
3407588
41349588
54862588
Stop Event
node limit
Counts
239 → 207
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)
(/.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 -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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.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 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.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 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.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 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.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 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 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 m (/.f64 v m)))
(-.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 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 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 m (/.f64 v m)))
(-.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 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 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 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(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)
(+.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)
(+.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)

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

series7.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite58.0ms (1.2%)

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
0933
120133
2290131
Stop Event
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 m (-.f64 1 m))
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 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 expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))))
((#(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 (-.f64 1 m) (neg.f64 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 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)))) (#(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 +.f64 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))))

simplify45.0ms (0.9%)

Algorithm
egg-herbie
Rules
476×distribute-rgt-neg-in_binary64
466×fma-def_binary64
367×distribute-lft-neg-in_binary64
349×fma-neg_binary64
314×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025646
167585
2142585
3349531
41234474
54973474
Stop Event
node limit
Counts
160 → 134
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)))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
Outputs
(*.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)
(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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 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) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))

eval114.0ms (2.3%)

Compiler

Compiled 6286 to 3912 computations (37.8% saved)

prune56.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New32615341
Fresh000
Picked101
Done101
Total32815343
Error
0b
Counts
343 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
10.5b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) 1) m)
11.1b
(-.f64 (*.f64 m (/.f64 m v)) m)
0.6b
(*.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3) 1) m)
52.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
11.1b
(*.f64 m (-.f64 (/.f64 m v) 1))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
17.1b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
34.7b
(neg.f64 m)
11.5b
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
33.5b
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
33.6b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
52.2b
(/.f64 (neg.f64 (pow.f64 m 3)) v)
0.2b
(*.f64 (-.f64 (*.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
28.6b
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
28.6b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
Compiler

Compiled 358 to 248 computations (30.7% saved)

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 m (/.f64 (-.f64 1 m) v))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.0b
(/.f64 (-.f64 1 m) v)
0.0b
(/.f64 (-.f64 1 m) v)
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b
(*.f64 m (/.f64 (-.f64 1 m) v))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite51.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
120424
2292624
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 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 expm1.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))))
((#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))))

simplify45.0ms (0.9%)

Algorithm
egg-herbie
Rules
454×distribute-rgt-neg-in_binary64
408×fma-def_binary64
374×distribute-rgt-out--_binary64
350×distribute-lft-neg-in_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025741
166665
2144665
3349548
41256518
54669518
Stop Event
node limit
Counts
105 → 74
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))
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.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 (/.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 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.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 (/.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 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 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 (*.f64 m m) v) 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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.f64 m m) v) (/.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 -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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.f64 m m) v) (/.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 -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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.f64 m m) v) (/.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 -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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.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 (*.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 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series7.0ms (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 (neg.f64 m) v))
1.0ms
v
@inf
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))

rewrite43.0ms (0.9%)

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
2223114
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 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 expm1.f64 (log1p.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify45.0ms (0.9%)

Algorithm
egg-herbie
Rules
818×distribute-rgt-neg-in_binary64
752×distribute-lft-neg-in_binary64
548×fma-def_binary64
536×unswap-sqr_binary64
509×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
132432
269432
3156432
4483432
52302432
65023432
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 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) 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)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.7b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
0.0b
(/.f64 (-.f64 1 m) v)
0.0b
(/.f64 (-.f64 1 m) v)
12.7b
(*.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))
0.0ms
v
@-inf
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
0.0ms
m
@inf
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))

rewrite43.0ms (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
2243013
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 (pow.f64 (exp.f64 m) 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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))))

simplify48.0ms (1%)

Algorithm
egg-herbie
Rules
817×fma-def_binary64
402×fma-neg_binary64
353×cancel-sign-sub-inv_binary64
320×associate-*l/_binary64
249×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016382
140361
288361
3236298
4842298
52891298
67616298
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 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.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 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.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 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 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 m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.7b
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
0.0b
(*.f64 (pow.f64 m 2) (-.f64 1 m))
0.0b
(*.f64 (pow.f64 m 2) (-.f64 1 m))
12.7b
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

9 calls:

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

rewrite61.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
457×log-prod_binary64
350×exp-prod_binary64
339×prod-exp_binary64
282×pow-prod-down_binary64
247×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119423
2250923
Stop Event
node limit
Counts
2 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(*.f64 (pow.f64 m 2) (-.f64 1 m))
Outputs
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1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (*.f64 2 (log.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 m)) (*.f64 (*.f64 2 (log.f64 m)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (*.f64 (*.f64 2 (log.f64 m)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m m (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m m (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m m (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) 1 (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) 1 (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) 1 (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m m) (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m m) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m m) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) m) (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) m) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) m) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 m) m) (pow.f64 (cbrt.f64 m) 2) (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 m) m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 m) m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (pow.f64 m 3/2) (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (pow.f64 m 3/2) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (pow.f64 m 3/2) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (sqrt.f64 m) (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (sqrt.f64 m) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (sqrt.f64 m) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 5) (cbrt.f64 m) (neg.f64 (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 5) (cbrt.f64 m) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 5) (cbrt.f64 m) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 m m) (pow.f64 m 3))))))))

simplify38.0ms (0.8%)

Algorithm
egg-herbie
Rules
748×fma-neg_binary64
646×cancel-sign-sub-inv_binary64
536×unswap-sqr_binary64
398×associate-*l*_binary64
380×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014293
135275
288275
3234248
4736248
53548248
Stop Event
node limit
Counts
184 → 171
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))
(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 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(*.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 m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(*.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 m) v) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m 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 (/.f64 m v) (-.f64 m (*.f64 m m)))
(*.f64 (*.f64 m (-.f64 1 m)) (/.f64 m v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(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))

eval184.0ms (3.7%)

Compiler

Compiled 10512 to 5894 computations (43.9% saved)

prune90.0ms (1.8%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New53911550
Fresh6410
Picked101
Done134
Total54718565
Error
0b
Counts
565 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
33.5b
(/.f64 (fma.f64 m m (*.f64 (*.f64 m m) (neg.f64 m))) v)
11.1b
(-.f64 (*.f64 m (/.f64 m v)) m)
11.1b
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
17.1b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
39.5b
(*.f64 m (/.f64 m v))
44.5b
(*.f64 (*.f64 m m) (/.f64 1 v))
52.3b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
52.3b
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
33.6b
(/.f64 1 (/.f64 v (*.f64 (*.f64 m m) (-.f64 1 m))))
44.5b
(/.f64 (*.f64 m m) v)
10.5b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) 1) m)
52.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
34.7b
(neg.f64 m)
11.1b
(*.f64 m (-.f64 (/.f64 m v) 1))
11.4b
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) m) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))
33.6b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
33.5b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
28.6b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
Compiler

Compiled 367 to 240 computations (34.6% saved)

localize28.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 m (/.f64 (-.f64 1 m) v))
0.1b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) 1) m)
0.1b
(sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))
0.0b
(/.f64 (-.f64 1 m) v)
0.1b
(sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))
0.1b
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) 1) m)
0.3b
(*.f64 m (/.f64 (-.f64 1 m) v))
0.4b
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)
Compiler

Compiled 65 to 44 computations (32.3% saved)

series20.0ms (0.4%)

Counts
3 → 27
Calls

18 calls:

TimeVariablePointExpression
4.0ms
v
@0
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)
2.0ms
v
@-inf
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)
2.0ms
m
@0
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)
1.0ms
m
@inf
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)
1.0ms
v
@inf
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)

rewrite65.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
606×prod-diff_binary64
590×log-prod_binary64
302×pow2_binary64
216×fma-def_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
127036
2336736
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) 1) m)
(sqrt.f64 (*.f64 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 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 (/.f64 1 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m m)) (*.f64 (cbrt.f64 m) (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))) (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) (*.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1))))) 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simplify47.0ms (0.9%)

Algorithm
egg-herbie
Rules
706×fma-def_binary64
326×associate-+l+_binary64
260×distribute-lft-out_binary64
249×unsub-neg_binary64
217×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0130872
1424626
21464473
35480441
Stop Event
node limit
Counts
137 → 147
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)
(+.f64 (/.f64 m v) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (/.f64 m v) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (/.f64 m v) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 v m)))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 v (*.f64 (pow.f64 (sqrt.f64 -1) 4) m)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2)))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v)))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v)))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v))) m)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))))))
(*.f64 -1 m)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2))))))) m)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) v))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2))))))) m)))) (*.f64 1/16 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 4)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v))) 1) m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v))) 1) m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))))
(*.f64 -1 m)
(*.f64 -1 m)
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) m)) (sqrt.f64 (/.f64 1 v)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) m)) (sqrt.f64 (/.f64 1 v)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 m 2))))))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) (pow.f64 m 2)))))))
Outputs
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m (neg.f64 v)) m)
(*.f64 (neg.f64 (/.f64 m v)) m)
(+.f64 (/.f64 m v) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m))) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (neg.f64 m)) v) (/.f64 m v))
(*.f64 (/.f64 -1 v) (-.f64 (*.f64 m m) m))
(*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (/.f64 m v) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m))) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (neg.f64 m)) v) (/.f64 m v))
(*.f64 (/.f64 -1 v) (-.f64 (*.f64 m m) m))
(*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (/.f64 m v) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (*.f64 v m)))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 v (*.f64 (pow.f64 (sqrt.f64 -1) 4) m)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m))) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (neg.f64 m)) v) (/.f64 m v))
(*.f64 (/.f64 -1 v) (-.f64 (*.f64 m m) m))
(*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m)))
(/.f64 (*.f64 m (neg.f64 m)) v)
(*.f64 (/.f64 m (neg.f64 v)) m)
(*.f64 (neg.f64 (/.f64 m v)) m)
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m))) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (neg.f64 m)) v) (/.f64 m v))
(*.f64 (/.f64 -1 v) (-.f64 (*.f64 m m) m))
(*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v)))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m))) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (neg.f64 m)) v) (/.f64 m v))
(*.f64 (/.f64 -1 v) (-.f64 (*.f64 m m) m))
(*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v))) m)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) m) v))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (*.f64 m m))) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (neg.f64 m)) v) (/.f64 m v))
(*.f64 (/.f64 -1 v) (-.f64 (*.f64 m m) m))
(*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))
(*.f64 -1 m)
(neg.f64 m)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 -1 v) (pow.f64 m 3))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(/.f64 (pow.f64 m 3) (neg.f64 v))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3))) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 (/.f64 -1 v) (pow.f64 m 3)) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 -1 v) (-.f64 (pow.f64 m 3) (*.f64 m m)))
(*.f64 m (*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2))))))) m)))
(+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3))) (/.f64 (*.f64 m m) v)) (*.f64 m (-.f64 (-.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))))))
(+.f64 (*.f64 (/.f64 -1 v) (pow.f64 m 3)) (fma.f64 m (-.f64 (-.f64 (/.f64 -1/8 v) 1) (/.f64 -1/8 v)) (/.f64 m (/.f64 v m))))
(-.f64 (*.f64 (/.f64 -1 v) (-.f64 (pow.f64 m 3) (*.f64 m m))) m)
(-.f64 (*.f64 m (*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))) m)
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) v))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v) (+.f64 (/.f64 (pow.f64 m 2) v) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (*.f64 1/8 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 2))))))) m)))) (*.f64 1/16 (/.f64 1 (*.f64 v (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3))) (/.f64 (*.f64 m m) v)) (*.f64 m (-.f64 (-.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))))))
(+.f64 (*.f64 (/.f64 -1 v) (pow.f64 m 3)) (fma.f64 m (-.f64 (-.f64 (/.f64 -1/8 v) 1) (/.f64 -1/8 v)) (/.f64 m (/.f64 v m))))
(-.f64 (*.f64 (/.f64 -1 v) (-.f64 (pow.f64 m 3) (*.f64 m m))) m)
(-.f64 (*.f64 m (*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))) m)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 -1 v) (pow.f64 m 3))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(/.f64 (pow.f64 m 3) (neg.f64 v))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3))) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 (/.f64 -1 v) (pow.f64 m 3)) (/.f64 m (/.f64 v m)))
(*.f64 (/.f64 -1 v) (-.f64 (pow.f64 m 3) (*.f64 m m)))
(*.f64 m (*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v))) 1) m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v)))
(+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3))) (/.f64 (*.f64 m m) v)) (*.f64 m (-.f64 (-.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))))))
(+.f64 (*.f64 (/.f64 -1 v) (pow.f64 m 3)) (fma.f64 m (-.f64 (-.f64 (/.f64 -1/8 v) 1) (/.f64 -1/8 v)) (/.f64 m (/.f64 v m))))
(-.f64 (*.f64 (/.f64 -1 v) (-.f64 (pow.f64 m 3) (*.f64 m m))) m)
(-.f64 (*.f64 m (*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 2)) v)) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (*.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) v))) 1) m) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 m 3)) v))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 v (pow.f64 m 3))) (/.f64 (*.f64 m m) v)) (*.f64 m (-.f64 (-.f64 (/.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))) (+.f64 1 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 2) v))))))
(+.f64 (*.f64 (/.f64 -1 v) (pow.f64 m 3)) (fma.f64 m (-.f64 (-.f64 (/.f64 -1/8 v) 1) (/.f64 -1/8 v)) (/.f64 m (/.f64 v m))))
(-.f64 (*.f64 (/.f64 -1 v) (-.f64 (pow.f64 m 3) (*.f64 m m))) m)
(-.f64 (*.f64 m (*.f64 (neg.f64 (/.f64 m v)) (+.f64 m -1))) m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))
(*.f64 (sqrt.f64 -1) (*.f64 m (sqrt.f64 (/.f64 1 v))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (*.f64 (sqrt.f64 -1) m) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) m)) (sqrt.f64 (/.f64 1 v)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1))))))
(fma.f64 -1/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 v))) (*.f64 m (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 m))) (*.f64 (sqrt.f64 -1) m))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (*.f64 (sqrt.f64 -1) m) (/.f64 1/8 (*.f64 (sqrt.f64 -1) m)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (+.f64 (*.f64 (sqrt.f64 -1) m) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) m))))
(+.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) m)) (sqrt.f64 (/.f64 1 v)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1)))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 m 2))))))))
(fma.f64 -1/8 (/.f64 (*.f64 1 (sqrt.f64 (/.f64 1 v))) (*.f64 m (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 1 (sqrt.f64 -1))) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 v))) (/.f64 1 (*.f64 (*.f64 m m) (pow.f64 (sqrt.f64 -1) 5)))))))
(+.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (*.f64 m m) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 m))) (*.f64 (sqrt.f64 -1) m))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (*.f64 (sqrt.f64 -1) m) (/.f64 1/8 (*.f64 (sqrt.f64 -1) m))) (*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 1/16 (*.f64 m (*.f64 m (pow.f64 (sqrt.f64 -1) 5)))))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (+.f64 (*.f64 (sqrt.f64 -1) m) (/.f64 1/2 (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 m (*.f64 m (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) m)))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) (neg.f64 m)))
(*.f64 (sqrt.f64 -1) (*.f64 (neg.f64 m) (sqrt.f64 (/.f64 1 v))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))))
(fma.f64 1/2 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) 1/2)) (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (-.f64 1/2 m))
(*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (/.f64 1 v)) (-.f64 1/2 m)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (-.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m))) (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m)) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (-.f64 1/2 m)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) m)) (*.f64 (sqrt.f64 -1) (-.f64 1/2 m))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 -1))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m))) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) (pow.f64 m 2)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m)) (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m)) (*.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 v))) (/.f64 (sqrt.f64 -1) (*.f64 m m))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (-.f64 (fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) m)) (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 v)) (/.f64 (sqrt.f64 -1) (*.f64 m m))))) (*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 (sqrt.f64 -1) m))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) m)) (*.f64 1/16 (/.f64 (sqrt.f64 -1) (*.f64 m m))))) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 v))) (-.f64 1/2 m)))
(*.f64 (sqrt.f64 (/.f64 1 v)) (+.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 -1) m)) (/.f64 (*.f64 (sqrt.f64 -1) 1/16) (*.f64 m m))) (*.f64 (sqrt.f64 -1) (-.f64 1/2 m))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
12.7b
(/.f64 (*.f64 m m) v)
12.7b
(/.f64 (*.f64 m m) v)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite35.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
214437
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 m m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 m 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 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 m m) v)))))))

simplify85.0ms (1.7%)

Algorithm
egg-herbie
Rules
784×sqr-pow_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
410×*-commutative_binary64
395×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5256168
61053168
73447168
84249168
94434168
104650168
114981168
125411168
135891168
146535168
157220168
Stop Event
node limit
Counts
56 → 34
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
12.8b
(*.f64 (*.f64 m m) (/.f64 1 v))
12.8b
(*.f64 (*.f64 m m) (/.f64 1 v))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite38.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
624×pow1_binary64
577×add-log-exp_binary64
576×log1p-expm1-u_binary64
576×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11427
217067
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 m m) (/.f64 1 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 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 m 4)) (/.f64 v (pow.f64 (cbrt.f64 m) 2)))))) (#(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 (*.f64 m m) (sqrt.f64 v)) (sqrt.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 -1 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) -1) (neg.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 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 expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))))

simplify89.0ms (1.8%)

Algorithm
egg-herbie
Rules
784×sqr-pow_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
410×*-commutative_binary64
395×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5256168
61053168
73447168
84249168
94434168
104650168
114981168
125411168
135891168
146535168
157220168
Stop Event
node limit
Counts
45 → 23
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))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.7b
(/.f64 (*.f64 m m) (neg.f64 v))
0.2b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
0.2b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
12.7b
(/.f64 (*.f64 m m) (neg.f64 v))
Compiler

Compiled 23 to 6 computations (73.9% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite47.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
697×pow1_binary64
647×add-log-exp_binary64
646×log1p-expm1-u_binary64
646×expm1-log1p-u_binary64
630×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
115114
2219314
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) (neg.f64 v))
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 m (/.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 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m -1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) -1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (/.f64 v m))))))))
((#(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 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 1 (/.f64 v (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 m 3)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (neg.f64 m))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) -1) v)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify47.0ms (0.9%)

Algorithm
egg-herbie
Rules
818×distribute-rgt-neg-in_binary64
752×distribute-lft-neg-in_binary64
548×fma-def_binary64
536×unswap-sqr_binary64
509×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
132432
269432
3156432
4483432
52302432
65023432
Stop Event
node limit
Counts
108 → 63
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 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) 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)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 29 to 19 computations (34.5% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite51.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
832×pow1_binary64
772×add-log-exp_binary64
771×log1p-expm1-u_binary64
771×expm1-log1p-u_binary64
756×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117214
2222114
Stop Event
node limit
Counts
2 → 41
Calls
Call 1
Inputs
(*.f64 m (/.f64 1 v))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 m v)) 1)))) (#(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 (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 (/.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 -1 m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m -1) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 m v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m v) 3) 1/3)))) (#(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 cbrt.f64 (pow.f64 (/.f64 m v) 3))))) (#(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 expm1.f64 (log1p.f64 (/.f64 m v)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) m) (*.f64 -1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 1 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 1 (/.f64 m v)))))) (#(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 1 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (+.f64 1 (/.f64 m v)))))) (#(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 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 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 expm1.f64 (log1p.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))))

simplify33.0ms (0.7%)

Algorithm
egg-herbie
Rules
627×associate-/r/_binary64
477×associate-/r*_binary64
449×fma-def_binary64
434×unswap-sqr_binary64
431×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010324
119306
231306
362306
4147306
5502306
62215306
Stop Event
node limit
Counts
89 → 47
Calls
Call 1
Inputs
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m 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 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.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 m (+.f64 (/.f64 m v) -1))
(-.f64 (*.f64 m (/.f64 m v)) m)

eval106.0ms (2.1%)

Compiler

Compiled 5220 to 3422 computations (34.4% saved)

prune61.0ms (1.2%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New3456351
Fresh4610
Picked101
Done167
Total35118369
Error
0b
Counts
369 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
33.5b
(/.f64 (fma.f64 m m (*.f64 (*.f64 m m) (neg.f64 m))) v)
11.1b
(-.f64 (*.f64 m (/.f64 m v)) m)
52.2b
(/.f64 (*.f64 m (*.f64 m (neg.f64 m))) v)
44.5b
(/.f64 1 (/.f64 v (*.f64 m m)))
44.5b
(*.f64 (*.f64 m m) (/.f64 1 v))
39.5b
(*.f64 (/.f64 m v) m)
44.5b
(/.f64 (*.f64 m m) v)
52.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
17.1b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
34.7b
(neg.f64 m)
15.9b
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 1 (/.f64 m v)))
11.1b
(*.f64 m (-.f64 (/.f64 m v) 1))
39.5b
(/.f64 m (/.f64 v m))
39.5b
(*.f64 m (*.f64 m (/.f64 1 v)))
52.3b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
33.6b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
33.5b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
28.6b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
Compiler

Compiled 297 to 186 computations (37.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite47.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
796×pow1_binary64
740×add-log-exp_binary64
739×log1p-expm1-u_binary64
739×expm1-log1p-u_binary64
725×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2201010
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 m (-.f64 (/.f64 m v) 1))
Outputs
((#(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 (+.f64 1 (*.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 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 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 expm1.f64 (log1p.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))))

simplify29.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
118210
230210
361210
4144210
5467210
62152210
Stop Event
node limit
Counts
43 → 25
Calls
Call 1
Inputs
(*.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 -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 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 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 (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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 m (/.f64 m v)) m)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite41.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
637×pow1_binary64
592×add-log-exp_binary64
592×log1p-expm1-u_binary64
592×expm1-log1p-u_binary64
578×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11107
215997
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 m (/.f64 v 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 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))))

simplify90.0ms (1.8%)

Algorithm
egg-herbie
Rules
784×sqr-pow_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
410×*-commutative_binary64
395×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5256168
61053168
73447168
84249168
94434168
104650168
114981168
125411168
135891168
146535168
157220168
Stop Event
node limit
Counts
62 → 39
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite43.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
642×pow1_binary64
591×add-log-exp_binary64
591×log1p-expm1-u_binary64
591×expm1-log1p-u_binary64
578×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11417
216997
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 m (*.f64 m (/.f64 1 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 (*.f64 m m) 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) -1) (neg.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 (pow.f64 v -1/2)) 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 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 expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))))

simplify89.0ms (1.8%)

Algorithm
egg-herbie
Rules
784×sqr-pow_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
410×*-commutative_binary64
395×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5256168
61053168
73447168
84249168
94434168
104650168
114981168
125411168
135891168
146535168
157220168
Stop Event
node limit
Counts
38 → 16
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))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (/.f64 m v))
0.0b
(-.f64 (*.f64 m (/.f64 m v)) m)
0.0b
(-.f64 (*.f64 m (/.f64 m v)) m)
0.2b
(*.f64 m (/.f64 m v))
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 m (/.f64 m v))
0.0ms
m
@inf
(-.f64 (*.f64 m (/.f64 m v)) m)
0.0ms
m
@0
(-.f64 (*.f64 m (/.f64 m v)) m)
0.0ms
m
@-inf
(-.f64 (*.f64 m (/.f64 m v)) m)
0.0ms
v
@0
(-.f64 (*.f64 m (/.f64 m v)) m)

rewrite47.0ms (0.9%)

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
2202117
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 m (/.f64 m v))
(-.f64 (*.f64 m (/.f64 m v)) 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 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 expm1.f64 (log1p.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 (/.f64 m v) 1))))))))

simplify32.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
09396
118378
230378
361378
4143378
5472378
62196378
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 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.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 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))
(+.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 m (+.f64 -1 (/.f64 m v)))

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 13 computations (51.9% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite110.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
527×log-prod_binary64
456×prod-diff_binary64
307×pow-prod-down_binary64
270×egg-rr
243×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117923
2269523
Stop Event
node limit
Counts
2 → 302
Calls
Call 1
Inputs
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
Outputs
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(pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (neg.f64 (*.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)) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v)) (neg.f64 (*.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)) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) m (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 v)) (neg.f64 m) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (*.f64 m (/.f64 m v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (*.f64 m (/.f64 m v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 v m) (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (/.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (-.f64 1 m))) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) 1) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 (pow.f64 (/.f64 m v) -2))) (cbrt.f64 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 (/.f64 v m))) (sqrt.f64 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 m)) m) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 (-.f64 1 m))) (/.f64 (neg.f64 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v m) (*.f64 m (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) (*.f64 m (/.f64 m v)))))))))

simplify65.0ms (1.3%)

Algorithm
egg-herbie
Rules
482×fma-neg_binary64
374×cancel-sign-sub-inv_binary64
329×associate-/l*_binary64
279×*-commutative_binary64
254×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021719
152656
2114656
3278530
4971530
53364530
67738530
Stop Event
node limit
Counts
350 → 315
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 (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 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) 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 (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 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) 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 (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 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (fma.f64 m (neg.f64 m) 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 (*.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) 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 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) 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 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) 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 (*.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) 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 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) 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 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) 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 (*.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) 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 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) 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 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))
(/.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 (/.f64 m v)) (-.f64 1 m))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (fma.f64 m (neg.f64 m) m) v))

eval220.0ms (4.4%)

Compiler

Compiled 13078 to 4762 computations (63.6% saved)

prune131.0ms (2.6%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New4783481
Fresh347
Picked101
Done1910
Total48316499
Error
0b
Counts
499 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
28.6b
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m))))
39.5b
(*.f64 m (/.f64 m v))
34.7b
(neg.f64 m)
52.2b
(/.f64 (*.f64 m (*.f64 m (neg.f64 m))) v)
44.5b
(/.f64 1 (/.f64 v (*.f64 m m)))
44.5b
(*.f64 (*.f64 m m) (/.f64 1 v))
52.3b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
15.9b
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 1 (/.f64 m v)))
11.1b
(*.f64 m (-.f64 (/.f64 m v) 1))
39.5b
(/.f64 m (/.f64 v m))
39.5b
(*.f64 m (*.f64 m (/.f64 1 v)))
52.3b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
17.1b
(-.f64 (/.f64 (*.f64 m m) v) m)
33.6b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
33.5b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
44.5b
(/.f64 (*.f64 m m) v)
Compiler

Compiled 150 to 94 computations (37.3% saved)

regimes112.0ms (2.2%)

Counts
37 → 1
Calls
Call 1
Inputs
(neg.f64 m)
(*.f64 m (/.f64 m v))
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (*.f64 m m) v)
(-.f64 (/.f64 (*.f64 m m) v) m)
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 m (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(/.f64 (*.f64 m (*.f64 m (neg.f64 m))) v)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 m (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v 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 (*.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) m)
(/.f64 (neg.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 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 (fma.f64 m m (*.f64 (*.f64 m m) (neg.f64 m))) v)
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 1 (/.f64 m v)))
(*.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2) 1) m)
(*.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)
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) m) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Calls

3 calls:

34.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
33.0ms
v
26.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
0.2b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 368 to 195 computations (47% saved)

regimes32.0ms (0.6%)

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

15.0ms
m
12.0ms
v
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
Compiler

Compiled 185 to 80 computations (56.8% saved)

regimes40.0ms (0.8%)

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

2 calls:

23.0ms
m
13.0ms
v
Results
ErrorSegmentsBranch
0.2b2m
11.1b1v
Compiler

Compiled 174 to 73 computations (58% saved)

bsearch19.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.916119888016924e-16
8.589065274815727e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes63.0ms (1.3%)

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

2 calls:

41.0ms
m
18.0ms
v
Results
ErrorSegmentsBranch
0.2b2m
11.1b1v
Compiler

Compiled 127 to 50 computations (60.6% saved)

bsearch19.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
2.916119888016924e-16
8.589065274815727e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes30.0ms (0.6%)

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

2 calls:

17.0ms
m
10.0ms
v
Results
ErrorSegmentsBranch
2.2b2m
11.1b1v
Compiler

Compiled 109 to 39 computations (64.2% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.015393630613039362
6.85572686320809
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.4%)

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

2 calls:

8.0ms
m
7.0ms
v
Results
ErrorSegmentsBranch
11.1b1m
11.1b1v
Compiler

Compiled 77 to 29 computations (62.3% saved)

regimes37.0ms (0.7%)

Counts
10 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(*.f64 m (/.f64 m v))
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (*.f64 m m) v)
(-.f64 (/.f64 (*.f64 m m) v) m)
(/.f64 1 (/.f64 v (*.f64 m m)))
(*.f64 m (*.f64 m (/.f64 1 v)))
(*.f64 (*.f64 m m) (/.f64 1 v))
Outputs
(*.f64 m (/.f64 m v))
(-.f64 (/.f64 (*.f64 m m) v) m)
Calls

2 calls:

17.0ms
v
17.0ms
m
Results
ErrorSegmentsBranch
15.9b3m
13.7b2v
Compiler

Compiled 63 to 25 computations (60.3% saved)

bsearch17.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
2.5611344668531995e-234
2.7276460822071374e-234
Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes37.0ms (0.7%)

Counts
6 → 4
Calls
Call 1
Inputs
(neg.f64 m)
(*.f64 m (/.f64 m v))
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (*.f64 m m) v)
Outputs
(*.f64 m (/.f64 m v))
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(neg.f64 m)
Calls

2 calls:

19.0ms
v
17.0ms
m
Results
ErrorSegmentsBranch
22.3b4m
21.6b4v
Compiler

Compiled 35 to 14 computations (60% saved)

bsearch58.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.8127622673361344e-157
4.751781245666266e-157
19.0ms
4.591078059283095e-170
1.0448883258182134e-169
20.0ms
2.655211190641574e-200
4.115596017854978e-199
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes35.0ms (0.7%)

Accuracy

Total -39.9b remaining (-184.3%)

Threshold costs -39.9b (-184.3%)

Counts
5 → 4
Calls
Call 1
Inputs
(neg.f64 m)
(*.f64 m (/.f64 m v))
(*.f64 (/.f64 m v) m)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
Outputs
(*.f64 m (/.f64 m v))
(neg.f64 m)
(*.f64 m (/.f64 m v))
(neg.f64 m)
Calls

2 calls:

17.0ms
v
17.0ms
m
Results
ErrorSegmentsBranch
22.3b4m
21.6b4v
Compiler

Compiled 30 to 12 computations (60% saved)

bsearch58.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.8127622673361344e-157
4.751781245666266e-157
20.0ms
4.591078059283095e-170
1.0448883258182134e-169
19.0ms
2.655211190641574e-200
4.115596017854978e-199
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
050230
170230
283230
396230
4101230
5104230
6105230
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 5914593802211409/20282409603651670423947251286016) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v))
(if (<=.f64 m 5914593802211409/20282409603651670423947251286016) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))))
(if (<=.f64 m 283962364283957792/18446744073709551616) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 (*.f64 m (*.f64 m (neg.f64 m))) v))
(-.f64 (*.f64 m (/.f64 m v)) m)
(if (<=.f64 v 74461150188034896/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 m (/.f64 m v)) (-.f64 (/.f64 (*.f64 m m) v) m))
(if (<=.f64 v 4576631753961225/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 m (/.f64 m v)) (if (<=.f64 v 6242549722298167/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 m) (if (<=.f64 v 44835121935554136/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (*.f64 m m) v) (neg.f64 m))))
(if (<=.f64 v 4576631753961225/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 m (/.f64 m v)) (if (<=.f64 v 6242549722298167/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 m) (if (<=.f64 v 44835121935554136/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 m (/.f64 m v)) (neg.f64 m))))
(neg.f64 m)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(*.f64 m (+.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) -1))
(if (<=.f64 m 5914593802211409/20282409603651670423947251286016) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v))
(if (<=.f64 m 5914593802211409/20282409603651670423947251286016) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(if (<=.f64 m 5914593802211409/20282409603651670423947251286016) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 m (/.f64 v (*.f64 m (-.f64 1 m)))))
(if (<=.f64 m 283962364283957792/18446744073709551616) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 (*.f64 m (*.f64 m (neg.f64 m))) v))
(if (<=.f64 m 8873823883873681/576460752303423488) (-.f64 (*.f64 m (/.f64 m v)) m) (/.f64 (*.f64 m (*.f64 m (neg.f64 m))) v))
(-.f64 (*.f64 m (/.f64 m v)) m)
(if (<=.f64 v 74461150188034896/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 m (/.f64 m v)) (-.f64 (/.f64 (*.f64 m m) v) m))
(if (<=.f64 v 4653821886752181/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456) (*.f64 m (/.f64 m v)) (-.f64 (/.f64 (*.f64 m m) v) m))
(if (<=.f64 v 4576631753961225/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 m (/.f64 m v)) (if (<=.f64 v 6242549722298167/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 m) (if (<=.f64 v 44835121935554136/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (/.f64 (*.f64 m m) v) (neg.f64 m))))
(if (<=.f64 v 4576631753961225/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 m (/.f64 m v)) (if (<=.f64 v 6242549722298167/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 m) (if (<=.f64 v 5604390241944267/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (/.f64 (*.f64 m m) v) (neg.f64 m))))
(if (<=.f64 v 4576631753961225/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 m (/.f64 m v)) (if (<=.f64 v 6242549722298167/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 m) (if (<=.f64 v 44835121935554136/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 m (/.f64 m v)) (neg.f64 m))))
(if (<=.f64 v 4576631753961225/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768) (*.f64 m (/.f64 m v)) (if (<=.f64 v 6242549722298167/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (neg.f64 m) (if (<=.f64 v 5604390241944267/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (*.f64 m (/.f64 m v)) (neg.f64 m))))
(neg.f64 m)

end77.0ms (1.5%)

Stop Event
fuel
Compiler

Compiled 338 to 169 computations (50% saved)

Profiling

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