Details

Time bar (total: 6.0s)

analyze35.0ms (0.6%)

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

Compiled 26 to 19 computations (26.9% saved)

sample981.0ms (16.3%)

Results
957.0ms8256×body256valid
12.0ms116×body256invalid

preprocess57.0ms (1%)

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)

simplify54.0ms (0.9%)

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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.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)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite57.0ms (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))

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 27 computations (35.7% saved)

series18.0ms (0.3%)

Counts
4 → 63
Calls

21 calls:

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

rewrite139.0ms (2.3%)

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
0949
120149
2294745
Stop Event
node limit
Counts
4 → 208
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))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
Outputs
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simplify103.0ms (1.7%)

Algorithm
egg-herbie
Rules
476×distribute-rgt-in_binary64
396×distribute-lft-in_binary64
389×distribute-rgt-out_binary64
353×fma-def_binary64
273×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038864
199799
2215770
3622688
42981687
Stop Event
node limit
Counts
271 → 241
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)
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
-1
Outputs
-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 m (+.f64 -1 (/.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 m (+.f64 (fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v)) -1))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)) -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 (+.f64 m (/.f64 m v)) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v))
(+.f64 m (+.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)) (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 m v))) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 m (/.f64 m v)) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (-.f64 (/.f64 m v) (-.f64 1 m)) (*.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 (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 (*.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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.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 (*.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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.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 (*.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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) -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))
(fma.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v) (+.f64 -1 m))
(+.f64 m (fma.f64 (pow.f64 (-.f64 1 m) 2) (/.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))
-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 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.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 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.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 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (/.f64 (neg.f64 (*.f64 m m)) v) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(+.f64 -1 (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 -1 (*.f64 m (/.f64 (-.f64 1 m) v)))
(/.f64 (*.f64 m (-.f64 1 m)) 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))
-1
-1

eval208.0ms (3.5%)

Compiler

Compiled 5772 to 3753 computations (35% saved)

prune88.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New29815313
Fresh000
Picked101
Done101
Total30015315
Error
0.0b
Counts
315 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
37.6b
(+.f64 -1 m)
9.2b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
27.4b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
38.0b
-1
27.5b
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
54.7b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
9.1b
(*.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (-.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1)) (-.f64 1 m))
19.9b
(*.f64 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3)) 1) (-.f64 1 m))
9.1b
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)) -1))
9.1b
(-.f64 (/.f64 m v) (-.f64 1 m))
27.5b
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
0.1b
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
27.4b
(*.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 m v))
9.7b
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
54.7b
(/.f64 (pow.f64 m 3) v)
Compiler

Compiled 357 to 259 computations (27.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 22 computations (45% saved)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite80.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
120138
2288738
Stop Event
node limit
Counts
3 → 198
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)
Outputs
((#(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) 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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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(/.f64 m v) (-.f64 1 m)) 2) -1)) (neg.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (/.f64 m v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (*.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 m v)) -1)))) (#(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) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)) (cbrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 m) (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) -1)))))

simplify60.0ms (1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
0371121
1961023
2210994
3600819
42827818
Stop Event
node limit
Counts
270 → 225
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
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(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v)))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 13 computations (48% saved)

series7.0ms (0.1%)

Counts
2 → 30
Calls

12 calls:

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

rewrite69.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117820
2250920
Stop Event
node limit
Counts
2 → 131
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(-.f64 (/.f64 m v) 1)
Outputs
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-1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 v m) -3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (neg.f64 (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 m v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 m v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)) (+.f64 (pow.f64 (/.f64 v m) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 m v) 1) (+.f64 (pow.f64 (/.f64 m v) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 m v) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 m v) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (/.f64 m v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 m v) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 m v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 m v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 m v) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 m) (/.f64 1 (neg.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 v) m -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 m (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 m) (sqrt.f64 v)) -1)))))

simplify76.0ms (1.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
022437
149420
2105379
3299279
41171279
54734279
67829279
Stop Event
node limit
Counts
161 → 147
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(*.f64 -1 (-.f64 1 m))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
-1
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
-1
-1
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 -1 (+.f64 m (/.f64 m v)))
(+.f64 (+.f64 -1 m) (/.f64 m v))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 (+.f64 1 (/.f64 1 v)) m (neg.f64 (/.f64 m (/.f64 v m))))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) m)
(fma.f64 m (/.f64 (-.f64 1 m) v) m)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(neg.f64 (/.f64 m (/.f64 v m)))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -1 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 (+.f64 1 (/.f64 1 v)) m (neg.f64 (/.f64 m (/.f64 v m))))
(+.f64 m (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) m)
(fma.f64 m (/.f64 (-.f64 1 m) v) m)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (fma.f64 m (neg.f64 m) m) v)
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (*.f64 -1 (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) v))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 -1 m)
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (neg.f64 (/.f64 (*.f64 m m) v)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 -1 (/.f64 m (/.f64 v m)) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(-.f64 (+.f64 m (/.f64 m v)) (+.f64 (*.f64 (/.f64 m v) m) 1))
(*.f64 (-.f64 1 m) (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 -1 m) (-.f64 1 (/.f64 m v)))
-1
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
-1
-1

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

rewrite68.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
117213
2249413
Stop Event
node limit
Counts
1 → 120
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
Outputs
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(-.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 (-.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 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 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 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v) (*.f64 (neg.f64 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((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 (-.f64 1 m) (cbrt.f64 (*.f64 v v))) (/.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) (cbrt.f64 (*.f64 v v))) (/.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 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (cbrt.f64 (*.f64 v v))) (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) (cbrt.f64 (*.f64 v v))) (cbrt.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 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 (*.f64 v v))) (/.f64 (sqrt.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 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 (*.f64 v v))) (/.f64 (sqrt.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 (sqrt.f64 v)) (/.f64 (-.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 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 (pow.f64 v -1/2) (/.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 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.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)))))))

simplify64.0ms (1.1%)

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
144 → 129
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))

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series11.0ms (0.2%)

Counts
3 → 48
Calls

15 calls:

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

rewrite109.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
962×pow1_binary64
895×add-log-exp_binary64
894×log1p-expm1-u_binary64
894×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
119430
2243130
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))
(pow.f64 (-.f64 1 m) 2)
(/.f64 (pow.f64 (-.f64 1 m) 2) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 m) 2)) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 (pow.f64 (-.f64 1 m) 2))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (sqrt.f64 m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 m) (*.f64 (neg.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 m) (*.f64 (-.f64 1 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 m) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 m) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 4)) (cbrt.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (cbrt.f64 (pow.f64 (-.f64 1 m) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (*.f64 (cbrt.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (sqrt.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (cbrt.f64 (pow.f64 (-.f64 1 m) 2))) (cbrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 m 1) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 (pow.f64 m 3))) (*.f64 (+.f64 m 1) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (-.f64 1 (*.f64 m m))) (*.f64 (+.f64 1 (fma.f64 m m m)) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (-.f64 1 m)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 m) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 m) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (neg.f64 m))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (-.f64 1 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 m) 2) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 2) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 4)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (-.f64 1 m) 2)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (pow.f64 (-.f64 1 m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (pow.f64 (-.f64 1 m) 2) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (pow.f64 (-.f64 1 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 4)) (sqrt.f64 v)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 m) 2)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 m) 2) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 1 m) 2) v)))))))

simplify85.0ms (1.4%)

Algorithm
egg-herbie
Rules
784×fma-def_binary64
445×unsub-neg_binary64
346×associate-/l*_binary64
346×fma-neg_binary64
343×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031635
179625
2151613
3356549
41423525
55567525
Stop Event
node limit
Counts
130 → 109
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)
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(pow.f64 m 2)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(/.f64 1 v)
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 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 m (/.f64 v m)) (/.f64 m v))
(fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))
(fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v))
(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)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.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 m -2)))
(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)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.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 m -2)))
(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 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 m -2))
(*.f64 m (*.f64 (/.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)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.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 m -2)))
(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)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.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 m -2)))
(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 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 m -2))
(*.f64 m (*.f64 (/.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)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.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 m -2)))
(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)))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (+.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 m -2)))
(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))
1
(+.f64 1 (*.f64 -2 m))
(+.f64 1 (*.f64 m -2))
(fma.f64 m -2 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(pow.f64 m 2)
(*.f64 m m)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(pow.f64 m 2)
(*.f64 m m)
(+.f64 (*.f64 -2 m) (pow.f64 m 2))
(fma.f64 -2 m (*.f64 m m))
(*.f64 m (+.f64 m -2))
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(+.f64 1 (+.f64 (*.f64 -2 m) (pow.f64 m 2)))
(+.f64 1 (fma.f64 -2 m (*.f64 m m)))
(+.f64 1 (*.f64 m (+.f64 m -2)))
(fma.f64 m (+.f64 m -2) 1)
(/.f64 1 v)
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -2 (/.f64 m v) (/.f64 1 v))
(fma.f64 (/.f64 m v) -2 (/.f64 1 v))
(fma.f64 m (/.f64 -2 v) (/.f64 1 v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (fma.f64 -2 (/.f64 m v) (/.f64 1 v)) (/.f64 (*.f64 m m) v))
(+.f64 (/.f64 m (/.f64 v m)) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (*.f64 (/.f64 m v) m) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 m v) (+.f64 m -2)))
(fma.f64 (/.f64 m v) (+.f64 m -2) (/.f64 1 v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (fma.f64 -2 (/.f64 m v) (/.f64 1 v)) (/.f64 (*.f64 m m) v))
(+.f64 (/.f64 m (/.f64 v m)) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (*.f64 (/.f64 m v) m) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 m v) (+.f64 m -2)))
(fma.f64 (/.f64 m v) (+.f64 m -2) (/.f64 1 v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 (/.f64 m v) -2 (/.f64 m (/.f64 v m)))
(fma.f64 (/.f64 m v) -2 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (fma.f64 -2 (/.f64 m v) (/.f64 1 v)) (/.f64 (*.f64 m m) v))
(+.f64 (/.f64 m (/.f64 v m)) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (*.f64 (/.f64 m v) m) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 m v) (+.f64 m -2)))
(fma.f64 (/.f64 m v) (+.f64 m -2) (/.f64 1 v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (fma.f64 -2 (/.f64 m v) (/.f64 1 v)) (/.f64 (*.f64 m m) v))
(+.f64 (/.f64 m (/.f64 v m)) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (*.f64 (/.f64 m v) m) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 m v) (+.f64 m -2)))
(fma.f64 (/.f64 m v) (+.f64 m -2) (/.f64 1 v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 (/.f64 m v) -2 (/.f64 m (/.f64 v m)))
(fma.f64 (/.f64 m v) -2 (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (+.f64 m -2))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (fma.f64 -2 (/.f64 m v) (/.f64 1 v)) (/.f64 (*.f64 m m) v))
(+.f64 (/.f64 m (/.f64 v m)) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (*.f64 (/.f64 m v) m) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 m v) (+.f64 m -2)))
(fma.f64 (/.f64 m v) (+.f64 m -2) (/.f64 1 v))
(+.f64 (*.f64 -2 (/.f64 m v)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 2) v)))
(+.f64 (fma.f64 -2 (/.f64 m v) (/.f64 1 v)) (/.f64 (*.f64 m m) v))
(+.f64 (/.f64 m (/.f64 v m)) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (*.f64 (/.f64 m v) m) (fma.f64 (/.f64 m v) -2 (/.f64 1 v)))
(+.f64 (/.f64 1 v) (*.f64 (/.f64 m v) (+.f64 m -2)))
(fma.f64 (/.f64 m v) (+.f64 m -2) (/.f64 1 v))

eval418.0ms (7%)

Compiler

Compiled 12160 to 7291 computations (40% saved)

prune210.0ms (3.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New69314707
Fresh9110
Picked101
Done224
Total70517722
Error
0b
Counts
722 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
9.1b
(-.f64 (/.f64 m v) (-.f64 1 m))
9.2b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
27.4b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
54.6b
(*.f64 m (/.f64 (*.f64 m m) v))
21.5b
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3)) (-.f64 1 m))
27.4b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
27.6b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
38.0b
-1
36.5b
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
54.7b
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
37.1b
(/.f64 (*.f64 m (-.f64 1 m)) v)
36.6b
(*.f64 m (/.f64 1 v))
37.6b
(+.f64 -1 m)
36.5b
(/.f64 m v)
37.1b
(*.f64 (/.f64 m v) (-.f64 1 m))
54.6b
(*.f64 m (*.f64 m (/.f64 m v)))
54.7b
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
Compiler

Compiled 303 to 208 computations (31.4% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite138.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
846×prod-diff_binary64
642×unpow-prod-down_binary64
391×log-prod_binary64
364×fma-def_binary64
222×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
116010
2243010
Stop Event
node limit
Counts
1 → 214
Calls
Call 1
Inputs
(-.f64 (/.f64 m v) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (neg.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (neg.f64 (-.f64 1 m)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (fma.f64 (neg.f64 (-.f64 1 m)) 1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 m))) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (+.f64 (neg.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 m))) (sqrt.f64 m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m (+.f64 (/.f64 m v) -1)) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 m))) (sqrt.f64 (neg.f64 m)) (neg.f64 m)))))) 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(neg.f64 (-.f64 1 m)) 1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (-.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 m))) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (-.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (-.f64 1 m))) (+.f64 (neg.f64 (-.f64 1 m)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)) (/.f64 m v))))))

simplify38.0ms (0.6%)

Algorithm
egg-herbie
Rules
192×fma-neg_binary64
182×fma-def_binary64
54×cancel-sign-sub-inv_binary64
34×sub-neg_binary64
27×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013231
124231
241207
359207
498207
5156207
6225207
7387207
8623207
9891207
10981207
11983207
Stop Event
saturated
Counts
238 → 223
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(/.f64 m v)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
Outputs
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(/.f64 m v)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (+.f64 m (/.f64 m v)) -1)

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (/.f64 (*.f64 m m) v))
12.6b
(/.f64 (*.f64 m m) v)
Compiler

Compiled 19 to 5 computations (73.7% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite55.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
681×pow1_binary64
632×add-log-exp_binary64
632×log1p-expm1-u_binary64
632×expm1-log1p-u_binary64
615×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112814
2177514
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) v)
(*.f64 m (/.f64 (*.f64 m m) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 m m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 2) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 m m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 m m) v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 m 3)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (neg.f64 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 (*.f64 m m) v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 m m) v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify96.0ms (1.6%)

Algorithm
egg-herbie
Rules
756×associate-*l/_binary64
536×unswap-sqr_binary64
520×associate-/r*_binary64
503×sqr-pow_binary64
479×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09336
121336
241336
387336
4236336
51015336
64592336
74761336
85016336
95308336
105692336
116315336
Stop Event
node limit
Counts
104 → 58
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (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 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 13 computations (51.9% saved)

series9.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite68.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
499×log-prod_binary64
367×exp-prod_binary64
362×pow-prod-down_binary64
268×prod-diff_binary64
247×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118523
2273023
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
(*.f64 (/.f64 m v) (+.f64 m -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 m v)) m) (*.f64 (*.f64 (/.f64 m v) -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 m v)) m) (*.f64 (*.f64 m (/.f64 m v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 m (/.f64 m v))) (*.f64 -2 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 m (/.f64 m v))) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (*.f64 m (/.f64 m v))) (*.f64 m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 m v)) -2) (*.f64 (*.f64 m (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (*.f64 m (+.f64 m -2))) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -8 (pow.f64 m 3))) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m m -4)) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 m -2) (*.f64 m (/.f64 m v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 m v)) (*.f64 -2 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 m v)) (*.f64 m (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 m (/.f64 m v)) (*.f64 m (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) m (*.f64 (*.f64 (/.f64 m v) -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) m (*.f64 (*.f64 m (/.f64 m v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 m v)) -2 (*.f64 (*.f64 m (/.f64 m v)) m))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) -2) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 m v)) 1) (*.f64 (*.f64 (/.f64 m v) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (/.f64 m v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (/.f64 m v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m -2)) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) (+.f64 m -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (+.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 m -2) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -8 (pow.f64 m 3)) (*.f64 (/.f64 v m) (-.f64 (fma.f64 m m 4) (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 m m -4) (*.f64 (/.f64 v m) (+.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 m -2)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (+.f64 m -2))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 -8 (pow.f64 m 3))) (*.f64 v (-.f64 (fma.f64 m m 4) (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (+.f64 -8 (pow.f64 m 3))) (*.f64 (neg.f64 v) (-.f64 (fma.f64 m m 4) (*.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (fma.f64 m m -4)) (*.f64 v (+.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (fma.f64 m m -4)) (*.f64 (neg.f64 v) (+.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) m) (*.f64 (-.f64 (fma.f64 m m 4) (*.f64 m -2)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) m) (*.f64 (+.f64 m 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) 1) (*.f64 (-.f64 (fma.f64 m m 4) (*.f64 m -2)) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) 1) (*.f64 (+.f64 m 2) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (neg.f64 m)) (*.f64 (-.f64 (fma.f64 m m 4) (*.f64 m -2)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) (neg.f64 m)) (*.f64 (+.f64 m 2) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 (*.f64 (/.f64 m v) -2) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (pow.f64 (*.f64 (/.f64 m v) -2) 2) (*.f64 (*.f64 m (/.f64 m v)) (*.f64 (/.f64 m v) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (pow.f64 (*.f64 (/.f64 m v) -2) 2)) (-.f64 (*.f64 m (/.f64 m v)) (*.f64 (/.f64 m v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (+.f64 m -2)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (+.f64 m -2)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (+.f64 m -2)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) (+.f64 m -2)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 m 3)) (/.f64 m v)) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 m m -4) (/.f64 m v)) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (+.f64 -8 (pow.f64 m 3))) (-.f64 (fma.f64 m m 4) (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m v) (fma.f64 m m -4)) (+.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 m -2) (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (+.f64 m -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 m v) (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (+.f64 m -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 m v) (+.f64 m -2)))) 2)) (cbrt.f64 (log.f64 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1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 m v) (+.f64 m -2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 m v) (+.f64 m -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 m v) (+.f64 m -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (+.f64 m -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 1 v) -2) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) -2 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 m v) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 m v) -2) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 m v)) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) m) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) -2) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v)) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) m) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (*.f64 (sqrt.f64 (/.f64 m v)) -2) 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fma.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (pow.f64 (cbrt.f64 (/.f64 m v)) 2)) (cbrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) (*.f64 (/.f64 m v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 m v)) 2)) (cbrt.f64 (/.f64 m v)) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) (*.f64 m (/.f64 m v)))))))

simplify67.0ms (1.1%)

Algorithm
egg-herbie
Rules
536×unswap-sqr_binary64
474×distribute-rgt-out_binary64
448×associate-*l/_binary64
434×fma-def_binary64
399×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020696
150696
297696
3196528
4625528
52836528
67094528
Stop Event
node limit
Counts
170 → 135
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(*.f64 -2 (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
(/.f64 (*.f64 (-.f64 m 2) m) v)
Outputs
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(/.f64 m (/.f64 (/.f64 v -2) m))
(*.f64 -2 (*.f64 m (/.f64 m v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 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))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 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))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 m (*.f64 (+.f64 -2 m) (/.f64 m v)))
(*.f64 m (*.f64 m (/.f64 (+.f64 -2 m) v)))
(*.f64 -2 (/.f64 m v))
(/.f64 m (/.f64 v -2))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 m v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))
(/.f64 (*.f64 (-.f64 m 2) m) v)
(fma.f64 -2 (/.f64 m v) (/.f64 (*.f64 m m) v))
(fma.f64 -2 (/.f64 m v) (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (+.f64 -2 m) v))
(*.f64 (+.f64 -2 m) (/.f64 m v))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series5.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite62.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
905×pow1_binary64
842×add-log-exp_binary64
841×log1p-expm1-u_binary64
841×expm1-log1p-u_binary64
825×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117721
2238721
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (/.f64 1 v) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 v) m) m)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 1 v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 v -3)) m) (-.f64 (+.f64 1 (pow.f64 v -2)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v -2)) m) (-.f64 1 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 1 (pow.f64 v -3))) (-.f64 (+.f64 1 (pow.f64 v -2)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 v -2))) (-.f64 1 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 m (*.f64 (/.f64 1 v) m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (pow.f64 v -1/2)) (sqrt.f64 m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 1 (/.f64 1 v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (*.f64 (/.f64 1 v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (*.f64 (/.f64 1 v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 1 v)) (log.f64 m)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 m (*.f64 (/.f64 1 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) (fma.f64 (+.f64 1 (/.f64 1 v)) m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) -1) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 1 v)) m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (hypot.f64 1 (pow.f64 v -1/2)) (sqrt.f64 m)) 1) (-.f64 (*.f64 (hypot.f64 1 (pow.f64 v -1/2)) (sqrt.f64 m)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) (fma.f64 (+.f64 1 (/.f64 1 v)) m 1)) (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m 1) (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3) -1) (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) (fma.f64 (+.f64 1 (/.f64 1 v)) m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3) -1) (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) (-.f64 1 (*.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) -1) (fma.f64 (+.f64 1 (/.f64 1 v)) m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) -1) (-.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) (fma.f64 (+.f64 1 (/.f64 1 v)) m 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 m (*.f64 (/.f64 1 v) m)) 2) -1)) (neg.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (+.f64 (log1p.f64 (/.f64 1 v)) (log.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 1 (/.f64 1 v)) m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 m (*.f64 (/.f64 1 v) m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 v)) m -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (+.f64 1 (/.f64 1 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 m (*.f64 (/.f64 1 v) m))) 2) (cbrt.f64 (+.f64 m (*.f64 (/.f64 1 v) m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 1 (pow.f64 v -1/2)) (sqrt.f64 m)) (*.f64 (hypot.f64 1 (pow.f64 v -1/2)) (sqrt.f64 m)) -1)))))

simplify34.0ms (0.6%)

Algorithm
egg-herbie
Rules
192×fma-neg_binary64
180×fma-def_binary64
54×cancel-sign-sub-inv_binary64
33×sub-neg_binary64
29×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012186
121186
236186
354186
495186
5153186
6222186
7384186
8622186
9889186
10979186
11981186
Stop Event
saturated
Counts
80 → 63
Calls
Call 1
Inputs
(/.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)
(/.f64 m v)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 m 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
-1
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
m
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(+.f64 (/.f64 m v) m)
(+.f64 m (/.f64 m v))
(/.f64 m v)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 m 1)
(+.f64 m -1)
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(+.f64 (/.f64 m v) (+.f64 m -1))
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
-1
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))

eval151.0ms (2.5%)

Compiler

Compiled 8644 to 4886 computations (43.5% saved)

prune79.0ms (1.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New4718479
Fresh3710
Picked101
Done156
Total47620496
Error
0b
Counts
496 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
54.6b
(/.f64 m (/.f64 v (*.f64 m m)))
36.5b
(+.f64 m (/.f64 m v))
36.6b
(*.f64 m (/.f64 1 v))
37.6b
(+.f64 -1 m)
54.6b
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v m))))
27.4b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
54.6b
(*.f64 m (/.f64 (*.f64 m m) v))
9.1b
(-.f64 (+.f64 (/.f64 m v) m) 1)
27.4b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
54.7b
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
27.6b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
54.6b
(*.f64 m (*.f64 (/.f64 m v) m))
9.2b
(-.f64 (/.f64 m v) 1)
38.0b
-1
36.5b
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
9.2b
(/.f64 (-.f64 (+.f64 m 1) (*.f64 (/.f64 v m) (-.f64 1 (*.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
37.1b
(*.f64 (/.f64 m v) (-.f64 1 m))
37.1b
(/.f64 (*.f64 m (-.f64 1 m)) v)
36.5b
(/.f64 m v)
54.7b
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
Compiler

Compiled 342 to 223 computations (34.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts
2 → 30
Calls

12 calls:

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

rewrite59.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116217
2242117
Stop Event
node limit
Counts
2 → 82
Calls
Call 1
Inputs
(+.f64 (/.f64 m v) m)
(-.f64 (+.f64 (/.f64 m v) m) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 m (+.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (/.f64 m v) m)) (/.f64 (*.f64 m m) (-.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2) (cbrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2) (*.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) (sqrt.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) (*.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m (-.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m m)) (/.f64 1 (-.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m (-.f64 m (/.f64 m v)))) (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 m v) m) (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)) (+.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m (-.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)) (+.f64 (*.f64 m m) (-.f64 (pow.f64 (/.f64 m v) 2) (*.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 /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m (-.f64 m (/.f64 m v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m m))) (neg.f64 (-.f64 (/.f64 m v) m)))))) (#(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 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)) 1) (+.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m (-.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 m m)) 1) (-.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 (cbrt.f64 (+.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 log.f64 (+.f64 1 (expm1.f64 (+.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (-.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (+.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m v) (*.f64 (+.f64 m -1) 1))))) (#(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 (+.f64 m -1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 m (-.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m (-.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))) (pow.f64 (cbrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))) 2) (cbrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))) (sqrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) (+.f64 m (+.f64 (/.f64 m v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) -1) (/.f64 1 (+.f64 m (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) 1) (-.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) (+.f64 m (+.f64 (/.f64 m v) 1))) (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 m (+.f64 (/.f64 m v) 1)) (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) -1) (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) (+.f64 m (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) -1) (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) (-.f64 1 (*.f64 (+.f64 m (/.f64 m v)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) -1) (+.f64 m (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) -1) (-.f64 (+.f64 m (/.f64 m v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) (+.f64 m (+.f64 (/.f64 m v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 m (/.f64 m v)) 2) -1)) (neg.f64 (+.f64 m (+.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 (+.f64 m -1) 3)) (+.f64 (pow.f64 (/.f64 m v) 2) (-.f64 (*.f64 (+.f64 m -1) (+.f64 m -1)) (*.f64 (/.f64 m v) (+.f64 m -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 m v) 2) (*.f64 (+.f64 m -1) (+.f64 m -1))) (-.f64 (/.f64 m v) (+.f64 m -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 m (-.f64 (/.f64 m v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (-.f64 (/.f64 m v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 m (-.f64 (/.f64 m v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 m (-.f64 (/.f64 m v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 m (-.f64 (/.f64 m v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (-.f64 (/.f64 m v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 m (-.f64 (/.f64 m v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 1 v) (+.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m v) (+.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 m (/.f64 m v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m v))) 2) (cbrt.f64 (+.f64 m (/.f64 m v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (cbrt.f64 (/.f64 m v)) (+.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 m (/.f64 m v))) (sqrt.f64 (+.f64 m (/.f64 m v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m v)) (sqrt.f64 (/.f64 m v)) (+.f64 m -1))))))

simplify63.0ms (1%)

Algorithm
egg-herbie
Rules
192×fma-def_binary64
190×fma-neg_binary64
56×cancel-sign-sub-inv_binary64
32×sub-neg_binary64
27×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011258
119258
230207
349207
480207
5115207
6157207
7225207
8390207
9636207
10900207
11991207
12993207
Stop Event
saturated
Counts
112 → 91
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(/.f64 m v)
m
m
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(/.f64 m v)
(-.f64 m 1)
(-.f64 m 1)
Outputs
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(/.f64 m v)
m
m
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 m v)
(-.f64 m 1)
(+.f64 m -1)
(-.f64 m 1)
(+.f64 m -1)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 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
v
@0
(*.f64 m (/.f64 1 v))
0.0ms
m
@0
(*.f64 m (/.f64 1 v))

rewrite42.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
537×pow1_binary64
514×add-sqr-sqrt_binary64
495×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11204
214244
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.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 -1 m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m -1) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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)))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
saturated
Counts
45 → 21
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)
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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite48.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112614
2167114
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 (/.f64 m v) m)
(*.f64 m (*.f64 (/.f64 m v) m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) 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 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 m 3) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify97.0ms (1.6%)

Algorithm
egg-herbie
Rules
756×associate-*l/_binary64
536×unswap-sqr_binary64
520×associate-/r*_binary64
503×sqr-pow_binary64
479×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09336
121336
241336
387336
4236336
51015336
64592336
74761336
85016336
95308336
105692336
116315336
Stop Event
node limit
Counts
84 → 38
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (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 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (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)

localize8.0ms (0.1%)

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)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 m (+.f64 m -2)) m)
12.6b
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite65.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
483×log-prod_binary64
375×prod-exp_binary64
365×exp-prod_binary64
313×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118223
2257223
Stop Event
node limit
Counts
2 → 113
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
(*.f64 (*.f64 m (+.f64 m -2)) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 m (+.f64 m -2)) v)) m)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 m (+.f64 m -2)) v)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 m (+.f64 m -2)) v)) m))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 m (+.f64 m -2)) v)) m))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (*.f64 m (+.f64 m -2)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (+.f64 m -2)) (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (+.f64 m -2)) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)) (cbrt.f64 (pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 2) (*.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)) (sqrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (*.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 (*.f64 m (+.f64 m -2)))) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (*.f64 m (+.f64 m -2)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (+.f64 m -2)) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1) (/.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (+.f64 m -2)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (+.f64 m -2)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m (+.f64 m -2)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (+.f64 m -2)) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 3) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (*.f64 m (+.f64 m -2))) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 m (+.f64 m -2)) v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (*.f64 m (*.f64 m (+.f64 m -2))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 m (+.f64 m -2)) v) m)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) (log.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1) (log.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) (*.f64 (log.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1) (*.f64 (log.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1) (neg.f64 (log.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 v)) (*.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 m 3) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 m 3) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 m (+.f64 m -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 m (+.f64 m -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 m (+.f64 m -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 m -2)) m) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (+.f64 m -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2))))) 2)) (cbrt.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))))) (sqrt.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 m (+.f64 m -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 m (+.f64 m -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 m (+.f64 m -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (*.f64 m (+.f64 m -2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (*.f64 m (+.f64 m -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (*.f64 m (+.f64 m -2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 m) 1) (log.f64 (*.f64 m (+.f64 m -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 m) (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 m) 1) (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 m -2)) 1) (*.f64 2 (log.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) (log.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 m (+.f64 m -2))) (*.f64 (log.f64 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 m (+.f64 m -2))) 1) (*.f64 (log.f64 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 m)) (*.f64 (log.f64 (+.f64 m -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m m) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m m) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 m 3) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 m 3) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) m (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) m (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (pow.f64 m 3/2) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 3/2) (pow.f64 m 3/2) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m m) 1) m (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m m) 1) m (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 m (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 m (cbrt.f64 m)) 2) (cbrt.f64 m) (*.f64 m (*.f64 m -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 5/2) (sqrt.f64 m) (*.f64 (*.f64 m -2) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 m 5/2) (sqrt.f64 m) (*.f64 m (*.f64 m -2)))))))

simplify59.0ms (1%)

Algorithm
egg-herbie
Rules
536×unswap-sqr_binary64
460×distribute-rgt-out_binary64
434×fma-def_binary64
363×associate-*l/_binary64
363×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017495
141486
286486
3193402
4611402
52758402
66689402
Stop Event
node limit
Counts
149 → 124
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(*.f64 -2 (pow.f64 m 2))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
Outputs
(*.f64 -2 (/.f64 (pow.f64 m 2) v))
(*.f64 -2 (/.f64 (*.f64 m m) v))
(*.f64 -2 (/.f64 m (/.f64 v m)))
(/.f64 (*.f64 -2 (*.f64 m m)) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(/.f64 (*.f64 (-.f64 m 2) (pow.f64 m 2)) v)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (+.f64 -2 m) v))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 -2 m))
(*.f64 (/.f64 m (/.f64 v m)) (+.f64 -2 m))
(*.f64 -2 (pow.f64 m 2))
(*.f64 -2 (*.f64 m m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(pow.f64 m 3)
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))
(+.f64 (*.f64 -2 (pow.f64 m 2)) (pow.f64 m 3))
(fma.f64 -2 (*.f64 m m) (pow.f64 m 3))
(*.f64 m (*.f64 m (+.f64 -2 m)))
(*.f64 (*.f64 m m) (+.f64 -2 m))

eval87.0ms (1.4%)

Compiler

Compiled 4573 to 2562 computations (44% saved)

prune62.0ms (1%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New3656371
Fresh3710
Picked101
Done189
Total37021391
Error
0b
Counts
391 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
54.6b
(/.f64 m (/.f64 v (*.f64 m m)))
36.5b
(+.f64 m (/.f64 m v))
38.0b
-1
36.6b
(*.f64 m (/.f64 1 v))
54.6b
(*.f64 m (/.f64 m (/.f64 v m)))
27.4b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
54.6b
(*.f64 m (/.f64 (*.f64 m m) v))
9.1b
(-.f64 (+.f64 (/.f64 m v) m) 1)
27.4b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
54.7b
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
27.6b
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
54.6b
(*.f64 m (*.f64 (/.f64 m v) m))
9.2b
(/.f64 (-.f64 (+.f64 m 1) (*.f64 (/.f64 v m) (-.f64 1 (*.f64 m m)))) (*.f64 (/.f64 v m) (+.f64 m 1)))
37.1b
(*.f64 (/.f64 m v) (-.f64 1 m))
37.6b
(+.f64 -1 m)
9.2b
(-.f64 (/.f64 m v) 1)
36.5b
(/.f64 m v)
37.2b
(*.f64 m (/.f64 (-.f64 1 m) v))
36.6b
(/.f64 1 (/.f64 v m))
36.5b
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
54.7b
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
Compiler

Compiled 199 to 130 computations (34.7% saved)

regimes68.0ms (1.1%)

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

3 calls:

22.0ms
m
21.0ms
v
14.0ms
(*.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))
Compiler

Compiled 409 to 230 computations (43.8% saved)

regimes47.0ms (0.8%)

Counts
36 → 1
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(-.f64 (/.f64 m v) 1)
(/.f64 1 (/.f64 v m))
(+.f64 m (/.f64 m v))
(-.f64 (/.f64 m v) 1)
(*.f64 m (/.f64 1 v))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 m (/.f64 v (*.f64 m m)))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v m))))
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (*.f64 m (/.f64 (-.f64 1 m) v)))
(+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)) -1))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
Calls

2 calls:

20.0ms
v
18.0ms
m
Results
ErrorSegmentsBranch
0.1b1m
0.1b1v
Compiler

Compiled 272 to 143 computations (47.4% saved)

regimes64.0ms (1.1%)

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

2 calls:

37.0ms
m
19.0ms
v
Results
ErrorSegmentsBranch
0.1b2m
9.1b1v
Compiler

Compiled 259 to 135 computations (47.9% saved)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
8.290327208934728e-12
6.486304605811145e-9
Compiler

Compiled 20 to 15 computations (25% saved)

regimes53.0ms (0.9%)

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

2 calls:

29.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
0.1b2m
9.1b1v
Compiler

Compiled 246 to 127 computations (48.4% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.951041023586553e-12
8.290327208934728e-12
Compiler

Compiled 20 to 15 computations (25% saved)

regimes51.0ms (0.9%)

Counts
32 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(-.f64 (/.f64 m v) 1)
(/.f64 1 (/.f64 v m))
(+.f64 m (/.f64 m v))
(-.f64 (/.f64 m v) 1)
(*.f64 m (/.f64 1 v))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 m (/.f64 v (*.f64 m m)))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v m))))
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
(/.f64 (-.f64 1 m) (/.f64 v (*.f64 m (-.f64 1 m))))
Outputs
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m)))
Calls

2 calls:

29.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
0.1b2m
9.1b1v
Compiler

Compiled 224 to 113 computations (49.6% saved)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
1.951041023586553e-12
8.290327208934728e-12
Compiler

Compiled 20 to 15 computations (25% saved)

regimes51.0ms (0.8%)

Counts
30 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(-.f64 (/.f64 m v) 1)
(/.f64 1 (/.f64 v m))
(+.f64 m (/.f64 m v))
(-.f64 (/.f64 m v) 1)
(*.f64 m (/.f64 1 v))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 m (/.f64 v (*.f64 m m)))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v m))))
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m))
Outputs
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2)))
Calls

2 calls:

29.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
1.9b2m
9.1b1v
Compiler

Compiled 202 to 99 computations (51% saved)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
1.88830852558266
8154.766831066893
Compiler

Compiled 20 to 15 computations (25% saved)

regimes45.0ms (0.7%)

Counts
26 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(-.f64 (/.f64 m v) 1)
(/.f64 1 (/.f64 v m))
(+.f64 m (/.f64 m v))
(-.f64 (/.f64 m v) 1)
(*.f64 m (/.f64 1 v))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 m (/.f64 v (*.f64 m m)))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v m))))
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
Outputs
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))
Calls

2 calls:

24.0ms
m
14.0ms
v
Results
ErrorSegmentsBranch
1.9b2m
9.1b1v
Compiler

Compiled 166 to 80 computations (51.8% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.88830852558266
8154.766831066893
Compiler

Compiled 20 to 15 computations (25% saved)

regimes63.0ms (1.1%)

Counts
25 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(-.f64 (/.f64 m v) 1)
(/.f64 1 (/.f64 v m))
(+.f64 m (/.f64 m v))
(-.f64 (/.f64 m v) 1)
(*.f64 m (/.f64 1 v))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 m (/.f64 v (*.f64 m m)))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
(*.f64 m (*.f64 m (/.f64 1 (/.f64 v m))))
(/.f64 (*.f64 (*.f64 m (+.f64 m -2)) m) v)
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(*.f64 m (/.f64 (+.f64 1 (*.f64 -2 m)) v))
Outputs
(-.f64 (+.f64 (/.f64 m v) m) 1)
(/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v)
Calls

2 calls:

45.0ms
m
12.0ms
v
Results
ErrorSegmentsBranch
1.9b2m
9.1b1v
Compiler

Compiled 157 to 77 computations (51% saved)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
1.88830852558266
8154.766831066893
Compiler

Compiled 20 to 15 computations (25% saved)

regimes67.0ms (1.1%)

Counts
20 → 2
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
(-.f64 (/.f64 m v) 1)
(/.f64 1 (/.f64 v m))
(+.f64 m (/.f64 m v))
(-.f64 (/.f64 m v) 1)
(*.f64 m (/.f64 1 v))
(*.f64 m (/.f64 m (/.f64 v m)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 m (/.f64 v (*.f64 m m)))
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 m v) (-.f64 1 m))
Outputs
(-.f64 (+.f64 (/.f64 m v) m) 1)
(*.f64 m (/.f64 (*.f64 m m) v))
Calls

2 calls:

38.0ms
m
21.0ms
v
Results
ErrorSegmentsBranch
2.6b2m
9.1b1v
Compiler

Compiled 112 to 51 computations (54.5% saved)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1.6690247608665462e-5
0.49490983616158746
Compiler

Compiled 20 to 15 computations (25% saved)

regimes54.0ms (0.9%)

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

2 calls:

31.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
2.7b2m
9.1b1v
Compiler

Compiled 77 to 37 computations (51.9% saved)

bsearch36.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
1.6690247608665462e-5
0.49490983616158746
Compiler

Compiled 20 to 15 computations (25% saved)

regimes52.0ms (0.9%)

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

2 calls:

31.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
2.7b2m
9.1b1v
Compiler

Compiled 70 to 35 computations (50% saved)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
34.0ms
1.6690247608665462e-5
0.49490983616158746
Compiler

Compiled 20 to 15 computations (25% saved)

regimes52.0ms (0.9%)

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

2 calls:

30.0ms
m
16.0ms
v
Results
ErrorSegmentsBranch
2.7b2m
9.2b1v
Compiler

Compiled 63 to 32 computations (49.2% saved)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
1.6690247608665462e-5
0.49490983616158746
Compiler

Compiled 20 to 15 computations (25% saved)

regimes32.0ms (0.5%)

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

2 calls:

15.0ms
v
13.0ms
m
Results
ErrorSegmentsBranch
9.2b1m
9.2b1v
Compiler

Compiled 42 to 23 computations (45.2% saved)

regimes76.0ms (1.3%)

Counts
5 → 6
Calls
Call 1
Inputs
-1
-1
-1
(/.f64 m v)
(+.f64 -1 m)
Outputs
-1
(/.f64 m v)
-1
(/.f64 m v)
-1
(/.f64 m v)
Calls

2 calls:

47.0ms
m
27.0ms
v
Results
ErrorSegmentsBranch
22.3b6m
23.2b2v
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch95.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.0488729424153877e-125
2.9219144319183774e-123
20.0ms
2.8857568319167217e-144
9.09118984042775e-143
19.0ms
2.36343893077039e-155
7.178380076251227e-155
20.0ms
6.066603933369807e-163
1.3806245677212434e-162
19.0ms
2.8826541729860403e-179
7.531849551348935e-179
Compiler

Compiled 20 to 15 computations (25% saved)

regimes9.0ms (0.2%)

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:

5.0ms
m
3.0ms
v
Results
ErrorSegmentsBranch
38.0b1m
38.0b1v
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify18.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
077390
1108390
2115390
3117390
4118390
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(if (<=.f64 m 5131463995358657/618970019642690137449562112) (+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)) -1)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 1207635900693063/618970019642690137449562112) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 1207635900693063/618970019642690137449562112) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
(if (<=.f64 m 4252092786087299/2251799813685248) (-.f64 (+.f64 (/.f64 m v) m) 1) (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))))
(if (<=.f64 m 4252092786087299/2251799813685248) (-.f64 (+.f64 (/.f64 m v) m) 1) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2)))
(if (<=.f64 m 4252092786087299/2251799813685248) (-.f64 (+.f64 (/.f64 m v) m) 1) (/.f64 (*.f64 (*.f64 m m) (+.f64 -2 m)) v))
(if (<=.f64 m 2463045809311157/147573952589676412928) (-.f64 (+.f64 (/.f64 m v) m) 1) (*.f64 m (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 2463045809311157/147573952589676412928) (-.f64 (+.f64 (/.f64 m v) m) 1) (*.f64 m (*.f64 (/.f64 m v) m)))
(if (<=.f64 m 2463045809311157/147573952589676412928) (-.f64 (+.f64 (/.f64 m v) m) 1) (*.f64 m (/.f64 m (/.f64 v m))))
(if (<=.f64 m 2463045809311157/147573952589676412928) (-.f64 (/.f64 m v) 1) (*.f64 m (/.f64 m (/.f64 v m))))
(-.f64 (/.f64 m v) 1)
(if (<=.f64 m 4208620315324681/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) -1 (if (<=.f64 m 614586608197087/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (/.f64 m v) (if (<=.f64 m 5708499019576225/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) -1 (if (<=.f64 m 5071395007346645/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (/.f64 m v) (if (<=.f64 m 7993939422487563/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) -1 (/.f64 m v))))))
-1
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))
(*.f64 (-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) -1))
(if (<=.f64 m 5131463995358657/618970019642690137449562112) (+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 (*.f64 m -2) 1)) -1)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 5131463995358657/618970019642690137449562112) (+.f64 m (+.f64 (*.f64 (/.f64 m v) (+.f64 1 (*.f64 m -2))) -1)) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 1207635900693063/618970019642690137449562112) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (-.f64 1 m)))
(if (<=.f64 m 1207635900693063/618970019642690137449562112) (*.f64 (-.f64 1 m) (+.f64 (/.f64 m v) -1)) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 1207635900693063/618970019642690137449562112) (*.f64 (-.f64 (/.f64 m v) 1) (-.f64 1 m)) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v (-.f64 1 m))))
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(if (<=.f64 m 4252092786087299/2251799813685248) (-.f64 (+.f64 (/.f64 m v) m) 1) (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))))
(if (<=.f64 m 4252092786087299/2251799813685248) (+.f64 (+.f64 m (/.f64 m v)) -1) (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -2))))
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(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
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-1
Compiler

Compiled 300 to 194 computations (35.3% saved)

soundness0.0ms (0%)

end173.0ms (2.9%)

Compiler

Compiled 272 to 144 computations (47.1% saved)

Profiling

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