Details

Time bar (total: 5.6s)

analyze60.0ms (1.1%)

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

Compiled 26 to 19 computations (26.9% saved)

sample1.5s (25.8%)

Results
1.4s8256×body256valid
17.0ms119×body256invalid

preprocess70.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
13238
28234
324734
497734
5498934
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
(*.f64 (-.f64 1 v) (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1))
(*.f64 (-.f64 1 v) (+.f64 (*.f64 (/.f64 v m) (-.f64 1 v)) -1))
(*.f64 (-.f64 1 v) (fma.f64 (/.f64 v m) (-.f64 1 v) -1))
(*.f64 (-.f64 1 v) (fma.f64 (-.f64 1 v) (/.f64 v m) -1))
(*.f64 (-.f64 1 v) (fma.f64 v (/.f64 (-.f64 1 v) m) -1))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify83.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0919
12019
24617
313117
447517
5204817
6641517
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

eval1.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 29 to 21 computations (27.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 18 computations (43.8% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite58.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118328
2235128
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (-.f64 1 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 3) -1) (+.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) (-.f64 1 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (/.f64 (-.f64 1 m) (/.f64 v m))) 1) (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (neg.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (/.f64 (-.f64 1 m) (/.f64 v m))) (*.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m v) -1) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))))))))

simplify52.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

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

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 42 to 27 computations (35.7% saved)

series7.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite71.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0936
120136
2294734
Stop Event
node limit
Counts
3 → 142
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 m (-.f64 1 m))
Outputs
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(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 +.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 expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))) (#(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) (cbrt.f64 (*.f64 m m)) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (cbrt.f64 (*.f64 m m)) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 m m)) (cbrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 m m)) (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)))))))

simplify55.0ms (1%)

Algorithm
egg-herbie
Rules
955×fma-neg_binary64
467×distribute-rgt-in_binary64
394×distribute-lft-in_binary64
316×fma-def_binary64
308×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034683
188636
2196607
3578552
42792541
Stop Event
node limit
Counts
190 → 170
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (+.f64 -1 m) (/.f64 m v))
(-.f64 (/.f64 m v) (-.f64 1 m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 -2 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))))
(+.f64 -1 (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) m)))
(+.f64 -1 (+.f64 m (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) (+.f64 -1 (/.f64 m v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 -1 m))
(+.f64 -1 (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) m))
(*.f64 (-.f64 1 m) (fma.f64 (-.f64 1 m) (/.f64 m v) -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 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(neg.f64 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))

eval82.0ms (1.5%)

Compiler

Compiled 4374 to 2822 computations (35.5% saved)

prune46.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New22814242
Fresh000
Picked101
Done101
Total23014244
Error
0b
Counts
244 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
11.3b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
10.8b
(-.f64 (/.f64 m v) (-.f64 1 m))
39.4b
(+.f64 -1 m)
10.9b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
25.6b
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v))
39.7b
-1
25.6b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
25.6b
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))
25.5b
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
54.0b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
53.6b
(/.f64 (pow.f64 m 3) v)
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
0.2b
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
25.5b
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
Compiler

Compiled 301 to 211 computations (29.9% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 22 computations (45% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite72.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
120127
2288727
Stop Event
node limit
Counts
2 → 140
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (/.f64 m v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 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 v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (/.f64 m v)))))))) (#(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 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 1 m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (/.f64 v m) (fma.f64 m (+.f64 m 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 m m)) (*.f64 (/.f64 v m) (+.f64 m 1)))))) (#(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 m (-.f64 1 (pow.f64 m 3))) (*.f64 v (fma.f64 m (+.f64 m 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 (pow.f64 m 3))) (*.f64 (neg.f64 v) (fma.f64 m (+.f64 m 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (*.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 (*.f64 m m))) (*.f64 (neg.f64 v) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (*.f64 (fma.f64 m (+.f64 m 1) 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (*.f64 (+.f64 m 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) 1) (*.f64 (fma.f64 m (+.f64 m 1) 1) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) 1) (*.f64 (+.f64 m 1) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (neg.f64 m)) (*.f64 (fma.f64 m (+.f64 m 1) 1) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (neg.f64 m)) (*.f64 (+.f64 m 1) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (neg.f64 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> 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 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 (/.f64 m v) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (/.f64 m v)))))) (#(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 m v) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule 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simplify59.0ms (1.1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
034778
188716
2194687
3570596
42764585
Stop Event
node limit
Counts
188 → 163
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
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 (/.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 (/.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 -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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (-.f64 (/.f64 m v) 1)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(+.f64 (+.f64 m -1) (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (/.f64 m v) (+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) -1))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (/.f64 m v) (+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) -1))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (/.f64 m v) (+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) -1))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117813
2250913
Stop Event
node limit
Counts
1 → 68
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 m v) -1) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 m v) -1) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) (*.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 m v) -1)) (-.f64 1 m))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 m v) -1)) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 m v) -1)) (-.f64 1 m)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 m v) -1)) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 (/.f64 m v) 1) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 (/.f64 m v) 1) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 (/.f64 v m) -3) -1)) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (+.f64 (pow.f64 (/.f64 v m) -3) -1)) (*.f64 (+.f64 m 1) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (*.f64 (+.f64 m 1) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1) (-.f64 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) (-.f64 1 m)) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (/.f64 m v) -1)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (+.f64 (/.f64 m v) -1)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (+.f64 (pow.f64 (/.f64 v m) -3) -1)) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 m v) -1)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 m v) -1) (-.f64 1 m))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1) (log1p.f64 (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 (/.f64 m v) -1)) (*.f64 (log1p.f64 (neg.f64 m)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1) (*.f64 (log1p.f64 (neg.f64 m)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (log.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 m)) (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 m)) 1) (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (-.f64 1 m) (*.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 m v) -1) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 m v) -1) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 m v) -1) 1 (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 m v) -1) 1 (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (/.f64 m v) (*.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) 2) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) 2) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) 2) (cbrt.f64 (+.f64 (/.f64 m v) -1)) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) 2) (cbrt.f64 (+.f64 (/.f64 m v) -1)) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 m v) -1)) (sqrt.f64 (+.f64 (/.f64 m v) -1)) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 m v) -1)) (sqrt.f64 (+.f64 (/.f64 m v) -1)) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1))) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1))) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) (/.f64 1 (+.f64 (/.f64 m v) 1)) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) (/.f64 1 (+.f64 (/.f64 m v) 1)) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 m v)) 1) (-.f64 (sqrt.f64 (/.f64 m v)) 1) (*.f64 (neg.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 m v)) 1) (-.f64 (sqrt.f64 (/.f64 m v)) 1) (*.f64 (+.f64 (/.f64 m v) -1) (neg.f64 m)))))))

simplify76.0ms (1.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
021422
148405
2105364
3299264
41169264
54756264
67880264
Stop Event
node limit
Counts
92 → 83
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (neg.f64 m) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (neg.f64 (*.f64 m m)) v))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) m)
(fma.f64 m (/.f64 (-.f64 1 m) v) m)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (neg.f64 m) (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (neg.f64 (*.f64 m m)) v))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) m)
(fma.f64 m (/.f64 (-.f64 1 m) v) m)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 19 computations (38.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite73.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
117213
2248913
Stop Event
node limit
Counts
1 → 120
Calls
Call 1
Inputs
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v))
Outputs
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m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1 (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (neg.f64 (-.f64 1 m))) (/.f64 1 (neg.f64 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (neg.f64 (-.f64 1 m))) (/.f64 1 (neg.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (-.f64 1 m) 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(2) ((x fma.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 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(*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)) (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (neg.f64 m)))))))

simplify77.0ms (1.4%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
021360
153360
2102360
3292328
41295316
55250316
Stop Event
node limit
Counts
144 → 130
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
Outputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v))
(fma.f64 (/.f64 m v) (*.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
11.2b
(/.f64 (pow.f64 m 3) v)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite53.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval163.0ms (2.9%)

Compiler

Compiled 8872 to 5195 computations (41.4% saved)

prune81.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New49413507
Fresh909
Picked101
Done314
Total50714521
Error
0b
Counts
521 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
25.6b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
36.7b
(*.f64 (-.f64 1 m) (/.f64 m v))
25.7b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
25.6b
(*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)))
39.4b
(+.f64 -1 m)
39.7b
-1
36.2b
(/.f64 m v)
53.5b
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
25.5b
(*.f64 (-.f64 1 m) (/.f64 (-.f64 m (*.f64 m m)) v))
54.0b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
36.7b
(*.f64 m (/.f64 (-.f64 1 m) v))
36.7b
(/.f64 (*.f64 m (-.f64 1 m)) v)
10.8b
(+.f64 -1 (+.f64 m (/.f64 m v)))
0.2b
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
Compiler

Compiled 268 to 181 computations (32.5% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 22 computations (45% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite140.0ms (2.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
120827
2320827
Stop Event
node limit
Counts
2 → 327
Calls
Call 1
Inputs
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (fma.f64 (neg.f64 (/.f64 m v)) m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (fma.f64 (neg.f64 m) (/.f64 m v) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 m (/.f64 m v)))) (sqrt.f64 (*.f64 m (/.f64 m v))) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (sqrt.f64 (/.f64 v m)))) (/.f64 (sqrt.f64 m) (sqrt.f64 (/.f64 v m))) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 m v) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 m (/.f64 1 v) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 m v)) (cbrt.f64 (/.f64 m v))) (cbrt.f64 (/.f64 m v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 v) m (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) (fma.f64 (neg.f64 (*.f64 m (/.f64 m v))) 1 (*.f64 (*.f64 m (/.f64 m v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (neg.f64 v)) (neg.f64 m) (neg.f64 (*.f64 (*.f64 m (/.f64 m v)) 1))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 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 /.f64 (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) (pow.f64 (-.f64 1 m) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1 (*.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1 (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) (*.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (neg.f64 m)))))) (#(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)) (*.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) (*.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) (/.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1) (-.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1) (*.f64 (neg.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1) (-.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1) (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (neg.f64 m)))))))

simplify66.0ms (1.2%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
034778
188716
2194687
3570596
42764585
Stop Event
node limit
Counts
375 → 350
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
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 (/.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 (/.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 -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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
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(-.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 -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))
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
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(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.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 (*.f64 m (-.f64 1 m)) v)
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(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.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 (*.f64 m (-.f64 1 m)) v)
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(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
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(-.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 (*.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))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (-.f64 (/.f64 m v) 1)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1)))
(+.f64 (+.f64 m -1) (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
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(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
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(+.f64 (/.f64 m v) (+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) -1))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (/.f64 m v) (+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) -1))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (-.f64 (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))) 1))
(+.f64 (/.f64 m v) (+.f64 (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m) -1))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite56.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
846×pow1_binary64
788×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
772×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114910
2204710
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (-.f64 1 m) (/.f64 m v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 m) (/.f64 m v))) 1)))) (#(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 1 m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (/.f64 v m) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 m m)) (*.f64 (/.f64 v 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 1 (pow.f64 m 3)) 1) (*.f64 (+.f64 1 (fma.f64 m m m)) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) 1) (*.f64 (+.f64 1 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (*.f64 (+.f64 1 (fma.f64 m m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (*.f64 (+.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (neg.f64 m)) (*.f64 (+.f64 1 (fma.f64 m m m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (neg.f64 m)) (*.f64 (+.f64 1 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 (pow.f64 m 3))) (*.f64 (neg.f64 v) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (*.f64 v (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 (*.f64 m m))) (*.f64 (neg.f64 v) (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (-.f64 1 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (neg.f64 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 1 (pow.f64 m 3)) (/.f64 m v)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (/.f64 m v)) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (-.f64 1 (*.f64 m m))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 m) (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (/.f64 m v))))))))

simplify54.0ms (1%)

Algorithm
egg-herbie
Rules
887×fma-neg_binary64
689×fma-def_binary64
459×cancel-sign-sub-inv_binary64
375×associate-/l*_binary64
359×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014337
130295
258295
3137232
4440232
51734232
65756232
Stop Event
node limit
Counts
64 → 45
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)
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 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.8b
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

simplify151.0ms (2.7%)

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

Useful iterations: 0 (0.0ms)

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

eval239.0ms (4.3%)

Compiler

Compiled 16475 to 7403 computations (55.1% saved)

prune208.0ms (3.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New5366542
Fresh268
Picked011
Done145
Total53917556
Error
0b
Counts
556 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
25.6b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
36.7b
(*.f64 (-.f64 1 m) (/.f64 m v))
25.7b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
25.6b
(*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)))
53.5b
(/.f64 (*.f64 m m) (/.f64 v m))
39.4b
(+.f64 -1 m)
36.2b
(/.f64 m v)
53.5b
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
25.5b
(*.f64 (-.f64 1 m) (/.f64 (-.f64 m (*.f64 m m)) v))
10.8b
(+.f64 -1 (+.f64 m (/.f64 m v)))
53.5b
(/.f64 m (*.f64 (/.f64 v m) (/.f64 1 m)))
54.0b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
36.8b
(/.f64 (-.f64 1 m) (/.f64 v m))
39.7b
-1
36.7b
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
0.2b
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
36.7b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
Compiler

Compiled 294 to 198 computations (32.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 m (/.f64 m v))
Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite52.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
715×pow1_binary64
668×add-log-exp_binary64
668×log1p-expm1-u_binary64
668×expm1-log1p-u_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11157
217747
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 m (/.f64 m v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (-.f64 m (/.f64 m v))) (/.f64 (pow.f64 (/.f64 m v) 2) (-.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 (sqrt.f64 (+.f64 m (/.f64 m v))) (sqrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (/.f64 1 (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2)) (/.f64 1 (-.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m))) (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 m (/.f64 m v)) (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)) (+.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (*.f64 m m) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2)) (-.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3))) (neg.f64 (fma.f64 m m (*.f64 (/.f64 m v) (-.f64 (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 m m) (pow.f64 (/.f64 m v) 2))) (neg.f64 (-.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m m)) (-.f64 (/.f64 m v) 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 sqrt.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) m)))))

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×fma-def_binary64
associate-*r*_binary64
associate-*l*_binary64
*-lft-identity_binary64
*-rgt-identity_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09216
114216
222153
333153
450153
555153
657153
Stop Event
saturated
Counts
58 → 39
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
m
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
m
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
(+.f64 (/.f64 m v) m)
Outputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.9b
(/.f64 (*.f64 m m) (/.f64 v m))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
781×pow1_binary64
728×add-log-exp_binary64
728×log1p-expm1-u_binary64
728×expm1-log1p-u_binary64
709×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11347
220137
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) (/.f64 v m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 2) (cbrt.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) (*.f64 m (sqrt.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (/.f64 m (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (/.f64 v m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 (*.f64 m m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m (/.f64 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) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 m (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (*.f64 m m) (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 v m))) (/.f64 (*.f64 m m) (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 (/.f64 v m))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (neg.f64 v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (/.f64 v m)) 1) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (/.f64 v m)) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (/.f64 v m)) (sqrt.f64 m)) (sqrt.f64 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 pow.f64 (/.f64 v (pow.f64 m 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 (/.f64 v m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify150.0ms (2.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
114168
225168
346168
493168
5267168
61035168
73112168
83779168
93987168
104148168
114442168
124822168
135254168
145767168
156385168
167111168
177432168
187718168
197944168
Stop Event
node limit
Counts
65 → 42
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
Outputs
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)
(/.f64 (pow.f64 m 3) v)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 29 to 19 computations (34.5% saved)

series12.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(/.f64 v (-.f64 1 m))
1.0ms
m
@inf
(/.f64 v (-.f64 1 m))
1.0ms
m
@-inf
(/.f64 v (-.f64 1 m))
1.0ms
m
@0
(/.f64 v (-.f64 1 m))
1.0ms
v
@0
(/.f64 v (-.f64 1 m))

rewrite81.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
977×pow1_binary64
910×add-log-exp_binary64
910×log1p-expm1-u_binary64
910×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
117924
2250024
Stop Event
node limit
Counts
3 → 99
Calls
Call 1
Inputs
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(/.f64 1 (/.f64 v (-.f64 1 m)))
(/.f64 v (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 v (-.f64 1 m)) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 (/.f64 v (-.f64 1 m)) (cbrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 m) (/.f64 (/.f64 v (-.f64 1 m)) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 m) (/.f64 (neg.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))) (sqrt.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m 1) (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) 2))) (cbrt.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m -1) (/.f64 (neg.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 (/.f64 v (-.f64 1 m)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 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 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 v) (*.f64 (neg.f64 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 v) 1) (*.f64 (/.f64 1 v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 v) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 2) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) (sqrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (pow.f64 (/.f64 1 (-.f64 1 m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 v (-.f64 1 m))) -1) (pow.f64 (sqrt.f64 (/.f64 v (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) 1) (/.f64 (sqrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (cbrt.f64 (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (sqrt.f64 v)) (/.f64 (sqrt.f64 (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 v) 1) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 v)) (neg.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 v) (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)))))) (#(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 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 v (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) (cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) 2)) (cbrt.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (-.f64 1 m))) (sqrt.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (neg.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (/.f64 v (cbrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 m))) (/.f64 v (sqrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (-.f64 1 m))) (/.f64 (cbrt.f64 v) (sqrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(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 (-.f64 1 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (neg.f64 (-.f64 1 m))))))) (#(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 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 v (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 v (-.f64 1 m))))))))

simplify62.0ms (1.1%)

Algorithm
egg-herbie
Rules
548×fma-def_binary64
441×distribute-lft-out_binary64
409×associate-*r/_binary64
382×sub-neg_binary64
363×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041709
1117645
2316633
31032554
44524548
Stop Event
node limit
Counts
159 → 125
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 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
v
(+.f64 v (*.f64 v m))
(+.f64 v (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m)))
(+.f64 (*.f64 v (pow.f64 m 3)) (+.f64 v (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m))))
(*.f64 -1 (/.f64 v m))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))))
(*.f64 -1 (/.f64 v m))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))))
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 (-.f64 1 m) v)
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(neg.f64 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(neg.f64 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(/.f64 (-.f64 1 m) v)
v
(+.f64 v (*.f64 v m))
(+.f64 v (*.f64 m v))
(fma.f64 m v v)
(+.f64 v (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m)))
(+.f64 v (*.f64 v (+.f64 (*.f64 m m) m)))
(fma.f64 v (fma.f64 m m m) v)
(fma.f64 m (fma.f64 m v v) v)
(+.f64 (*.f64 v (pow.f64 m 3)) (+.f64 v (+.f64 (*.f64 v (pow.f64 m 2)) (*.f64 v m))))
(fma.f64 v (pow.f64 m 3) (+.f64 v (*.f64 v (+.f64 (*.f64 m m) m))))
(fma.f64 v (pow.f64 m 3) (fma.f64 v (fma.f64 m m m) v))
(*.f64 (fma.f64 m m 1) (fma.f64 m v v))
(*.f64 -1 (/.f64 v m))
(neg.f64 (/.f64 v m))
(/.f64 (neg.f64 v) m)
(/.f64 v (neg.f64 m))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))
(fma.f64 -1 (/.f64 v (*.f64 m m)) (neg.f64 (/.f64 v m)))
(-.f64 (neg.f64 (/.f64 v m)) (/.f64 (/.f64 v m) m))
(*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (*.f64 m m)) (neg.f64 (/.f64 v m))))
(-.f64 (-.f64 (neg.f64 (/.f64 v m)) (/.f64 (/.f64 v m) m)) (/.f64 v (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 v m) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 m m))) (/.f64 -1 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (fma.f64 -1 (/.f64 v (*.f64 m m)) (neg.f64 (/.f64 v m)))))
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 v m)) (/.f64 (/.f64 v m) m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 4))))
(*.f64 (+.f64 (/.f64 v m) (/.f64 v (*.f64 m m))) (+.f64 -1 (/.f64 -1 (*.f64 m m))))
(*.f64 (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 3))) (+.f64 -1 (/.f64 -1 m)))
(*.f64 -1 (/.f64 v m))
(neg.f64 (/.f64 v m))
(/.f64 (neg.f64 v) m)
(/.f64 v (neg.f64 m))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))
(fma.f64 -1 (/.f64 v (*.f64 m m)) (neg.f64 (/.f64 v m)))
(-.f64 (neg.f64 (/.f64 v m)) (/.f64 (/.f64 v m) m))
(*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (*.f64 m m)) (neg.f64 (/.f64 v m))))
(-.f64 (-.f64 (neg.f64 (/.f64 v m)) (/.f64 (/.f64 v m) m)) (/.f64 v (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) (/.f64 v (pow.f64 m 3)))
(*.f64 (/.f64 v m) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 m m))) (/.f64 -1 m)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 3))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 4))) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 m 2))) (*.f64 -1 (/.f64 v m)))))
(fma.f64 -1 (/.f64 v (pow.f64 m 3)) (fma.f64 -1 (/.f64 v (pow.f64 m 4)) (fma.f64 -1 (/.f64 v (*.f64 m m)) (neg.f64 (/.f64 v m)))))
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 v m)) (/.f64 (/.f64 v m) m)) (/.f64 v (pow.f64 m 4))) (/.f64 v (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 v m) (+.f64 -1 (/.f64 -1 m))) (+.f64 (/.f64 v (pow.f64 m 3)) (/.f64 v (pow.f64 m 4))))
(*.f64 (+.f64 (/.f64 v m) (/.f64 v (*.f64 m m))) (+.f64 -1 (/.f64 -1 (*.f64 m m))))
(*.f64 (+.f64 (/.f64 v m) (/.f64 v (pow.f64 m 3))) (+.f64 -1 (/.f64 -1 m)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 16 computations (36% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite62.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
894×pow1_binary64
830×add-log-exp_binary64
830×log1p-expm1-u_binary64
830×expm1-log1p-u_binary64
813×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117314
2229414
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(*.f64 m (/.f64 1 v))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
Outputs
((#(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 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 (pow.f64 (/.f64 m v) 3) 1/3)))) (#(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 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 cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (/.f64 (pow.f64 v -2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 v -2) v) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m v)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (neg.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (/.f64 m v) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (*.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (*.f64 (+.f64 1 (fma.f64 m m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (*.f64 (+.f64 m 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (/.f64 m v)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (/.f64 m v)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(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)) -1) (neg.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 m v) (-.f64 1 m)) 3) 1/3)))) (#(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 sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 m v)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))

simplify63.0ms (1.1%)

Algorithm
egg-herbie
Rules
887×fma-neg_binary64
689×fma-def_binary64
459×cancel-sign-sub-inv_binary64
375×associate-/l*_binary64
359×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
014433
130391
258391
3137328
4440328
51734328
65756328
Stop Event
node limit
Counts
97 → 53
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 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
Outputs
(/.f64 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 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 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 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 15 computations (48.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
960×pow1_binary64
893×add-log-exp_binary64
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
117013
2233813
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) (*.f64 (neg.f64 m) (*.f64 (-.f64 1 m) (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 m (-.f64 1 m))) (*.f64 (+.f64 1 (fma.f64 m m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 m (-.f64 1 m))) (*.f64 (+.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (-.f64 1 m)) (-.f64 1 (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (-.f64 1 m)) (-.f64 1 (*.f64 m m))) (*.f64 v (+.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (-.f64 1 m) (/.f64 m v))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 (-.f64 1 m) (/.f64 m v))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (-.f64 1 m)) (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) (-.f64 1 (*.f64 m m))) (+.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))))))))

simplify55.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
021360
153360
2102360
3292328
41295316
55250316
Stop Event
node limit
Counts
50 → 36
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
Outputs
(/.f64 m v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 m v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v))
(fma.f64 (/.f64 m v) (*.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (+.f64 (/.f64 m v) (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(fma.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2) (/.f64 m v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))

eval103.0ms (1.8%)

Compiler

Compiled 5093 to 2829 computations (44.5% saved)

prune63.0ms (1.1%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New3778385
Fresh257
Picked011
Done189
Total38022402
Error
0b
Counts
402 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
25.6b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
36.7b
(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
36.7b
(*.f64 (-.f64 1 m) (/.f64 m v))
53.5b
(*.f64 (/.f64 m v) (*.f64 m m))
25.6b
(*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)))
10.8b
(+.f64 -1 (/.f64 m v))
53.5b
(/.f64 (*.f64 m m) (/.f64 v m))
39.4b
(+.f64 -1 m)
36.2b
(/.f64 m v)
25.5b
(*.f64 (-.f64 1 m) (/.f64 (-.f64 m (*.f64 m m)) v))
10.8b
(+.f64 -1 (+.f64 m (/.f64 m v)))
53.5b
(/.f64 m (*.f64 (/.f64 v m) (/.f64 1 m)))
36.2b
(*.f64 m (/.f64 1 v))
36.8b
(/.f64 (-.f64 1 m) (/.f64 v m))
25.5b
(/.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v)
39.7b
-1
53.5b
(*.f64 (/.f64 m (/.f64 v m)) m)
36.8b
(/.f64 1 (/.f64 (/.f64 v (-.f64 1 m)) m))
36.7b
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
0.2b
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
54.0b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
36.7b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
Compiler

Compiled 214 to 145 computations (32.2% saved)

regimes82.0ms (1.5%)

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

4 calls:

21.0ms
v
21.0ms
m
16.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
13.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Results
ErrorSegmentsBranch
0.1b1m
0.1b1v
0.1b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.1b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Compiler

Compiled 398 to 222 computations (44.2% saved)

regimes47.0ms (0.8%)

Counts
35 → 1
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 -1 (/.f64 m v))
(*.f64 m (/.f64 1 v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
(/.f64 1 (/.f64 (/.f64 v (-.f64 1 m)) m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(/.f64 m (*.f64 (/.f64 v m) (/.f64 1 m)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 (-.f64 m (*.f64 m m)) v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
Calls

2 calls:

19.0ms
v
19.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
Compiler

Compiled 279 to 149 computations (46.6% saved)

regimes88.0ms (1.6%)

Counts
34 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 -1 (/.f64 m v))
(*.f64 m (/.f64 1 v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
(/.f64 1 (/.f64 (/.f64 v (-.f64 1 m)) m))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(/.f64 m (*.f64 (/.f64 v m) (/.f64 1 m)))
(*.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))
(*.f64 (/.f64 (*.f64 m m) 1) (/.f64 m v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 (-.f64 m (*.f64 m m)) v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
Outputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
Calls

2 calls:

45.0ms
v
35.0ms
m
Results
ErrorSegmentsBranch
0.2b2m
9.6b2v
Compiler

Compiled 266 to 141 computations (47% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
3.7331812056719164e-15
3.062861256661623e-14
Compiler

Compiled 20 to 15 computations (25% saved)

regimes73.0ms (1.3%)

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

2 calls:

39.0ms
v
28.0ms
m
Results
ErrorSegmentsBranch
0.2b2m
9.6b2v
Compiler

Compiled 200 to 102 computations (49% saved)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
3.7331812056719164e-15
3.062861256661623e-14
Compiler

Compiled 20 to 15 computations (25% saved)

regimes73.0ms (1.3%)

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

2 calls:

37.0ms
v
30.0ms
m
Results
ErrorSegmentsBranch
2.7b2m
9.6b2v
Compiler

Compiled 189 to 95 computations (49.7% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.7345811731908877
380.07757987507415
Compiler

Compiled 20 to 15 computations (25% saved)

regimes65.0ms (1.2%)

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

2 calls:

36.0ms
v
24.0ms
m
Results
ErrorSegmentsBranch
2.7b2m
9.6b2v
Compiler

Compiled 162 to 80 computations (50.6% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.7345811731908877
380.07757987507415
Compiler

Compiled 20 to 15 computations (25% saved)

regimes49.0ms (0.9%)

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

2 calls:

28.0ms
v
17.0ms
m
Results
ErrorSegmentsBranch
3.3b2m
9.8b2v
Compiler

Compiled 108 to 54 computations (50% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.3081604115149238
0.7345811731908877
Compiler

Compiled 20 to 15 computations (25% saved)

regimes41.0ms (0.7%)

Counts
14 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 -1 (/.f64 m v))
(*.f64 m (/.f64 1 v))
(*.f64 (/.f64 m v) (*.f64 m m))
(*.f64 (/.f64 m (/.f64 v m)) m)
(/.f64 (*.f64 m m) (/.f64 v m))
(/.f64 (-.f64 1 m) (/.f64 v m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
Outputs
(+.f64 -1 (/.f64 m v))
(*.f64 (/.f64 m (/.f64 v m)) m)
Calls

2 calls:

22.0ms
v
16.0ms
m
Results
ErrorSegmentsBranch
3.3b2m
9.8b2v
Compiler

Compiled 76 to 37 computations (51.3% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.3081604115149238
0.7345811731908877
Compiler

Compiled 20 to 15 computations (25% saved)

regimes28.0ms (0.5%)

Counts
8 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 -1 (/.f64 m v))
(*.f64 m (/.f64 1 v))
(*.f64 (/.f64 m v) (*.f64 m m))
Outputs
(+.f64 -1 (/.f64 m v))
(*.f64 (/.f64 m v) (*.f64 m m))
Calls

2 calls:

16.0ms
v
10.0ms
m
Results
ErrorSegmentsBranch
3.3b2m
9.8b2v
Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.3081604115149238
0.7345811731908877
Compiler

Compiled 20 to 15 computations (25% saved)

regimes12.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(+.f64 -1 (/.f64 m v))
(*.f64 m (/.f64 1 v))
Outputs
(+.f64 -1 (/.f64 m v))
Calls

2 calls:

5.0ms
v
5.0ms
m
Results
ErrorSegmentsBranch
10.8b1m
10.8b1v
Compiler

Compiled 27 to 17 computations (37% saved)

regimes27.0ms (0.5%)

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

2 calls:

17.0ms
v
8.0ms
m
Results
ErrorSegmentsBranch
23.8b2m
23.9b4v
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch22.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.080123377800462e-161
6.1149698335239e-161
Compiler

Compiled 20 to 15 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

2 calls:

4.0ms
v
4.0ms
m
Results
ErrorSegmentsBranch
39.7b1m
39.7b1v
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
049260
172260
277260
379260
480260
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(if (<=.f64 m 2366184698065375/633825300114114700748351602688) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 2366184698065375/633825300114114700748351602688) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 13550630903217616896/18446744073709551616) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 13550630903217616896/18446744073709551616) (+.f64 -1 (+.f64 m (/.f64 m v))) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 5684556244864817152/18446744073709551616) (+.f64 -1 (+.f64 m (/.f64 m v))) (*.f64 (/.f64 m (/.f64 v m)) m))
(if (<=.f64 m 5684556244864817152/18446744073709551616) (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m (/.f64 v m)) m))
(if (<=.f64 m 5684556244864817152/18446744073709551616) (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m m)))
(+.f64 -1 (/.f64 m v))
(if (<=.f64 m 1367794425199995/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) -1 (/.f64 m v))
-1
Outputs
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 (-.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (-.f64 1 m) (/.f64 v m)) -1))
(if (<=.f64 m 2366184698065375/633825300114114700748351602688) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 2366184698065375/633825300114114700748351602688) (*.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 2366184698065375/633825300114114700748351602688) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 2366184698065375/633825300114114700748351602688) (*.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (/.f64 (*.f64 (-.f64 1 m) (*.f64 m (-.f64 1 m))) v))
(if (<=.f64 m 13550630903217616896/18446744073709551616) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 6616518995711727/9007199254740992) (*.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 13550630903217616896/18446744073709551616) (+.f64 -1 (+.f64 m (/.f64 m v))) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 6616518995711727/9007199254740992) (+.f64 -1 (+.f64 m (/.f64 m v))) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 5684556244864817152/18446744073709551616) (+.f64 -1 (+.f64 m (/.f64 m v))) (*.f64 (/.f64 m (/.f64 v m)) m))
(if (<=.f64 m 2775662228937899/9007199254740992) (+.f64 -1 (+.f64 m (/.f64 m v))) (*.f64 m (/.f64 m (/.f64 v m))))
(if (<=.f64 m 5684556244864817152/18446744073709551616) (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m (/.f64 v m)) m))
(if (<=.f64 m 2775662228937899/9007199254740992) (+.f64 (/.f64 m v) -1) (*.f64 m (/.f64 m (/.f64 v m))))
(if (<=.f64 m 5684556244864817152/18446744073709551616) (+.f64 -1 (/.f64 m v)) (*.f64 (/.f64 m v) (*.f64 m m)))
(if (<=.f64 m 2775662228937899/9007199254740992) (+.f64 (/.f64 m v) -1) (*.f64 (/.f64 m v) (*.f64 m m)))
(+.f64 -1 (/.f64 m v))
(+.f64 (/.f64 m v) -1)
(if (<=.f64 m 1367794425199995/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) -1 (/.f64 m v))
-1
Compiler

Compiled 204 to 134 computations (34.3% saved)

soundness0.0ms (0%)

end91.0ms (1.6%)

Compiler

Compiled 182 to 97 computations (46.7% saved)

Profiling

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