Details

Time bar (total: 2.8s)

analyze147.0ms (5.3%)

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

Compiled 26 to 19 computations (26.9% saved)

sample985.0ms (35.8%)

Results
966.0ms8256×body128valid
7.0ms66×body128invalid

preprocess40.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
712×fma-def_binary64
374×times-frac_binary64
345×div-sub_binary64
304×distribute-rgt-in_binary64
242×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
13238
28234
324534
495334
5489234
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) (-.f64 1 v))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 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 15 to 11 computations (26.7% saved)

simplify19.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
560×fma-neg_binary64
442×distribute-rgt-in_binary64
376×unsub-neg_binary64
325×fma-def_binary64
302×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0919
12019
24617
313117
446417
5201217
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 (-.f64 1 m) (+.f64 (/.f64 m (/.f64 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))

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.3%)

Counts
3 → 48
Calls

15 calls:

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

rewrite58.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
501×prod-diff_binary64
188×fma-def_binary64
179×expm1-udef_binary64
178×log1p-udef_binary64
174×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0936
120136
2294134
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
(*.f64 m (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2))))) (#(struct:change 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 m)) (*.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 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 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1)) (*.f64 (fma.f64 m (+.f64 m 1) 1) (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -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 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 m) (*.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 (-.f64 1 m) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 m) (*.f64 -1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 1 (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 1 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) (/.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 2) -1) (/.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (-.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (-.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))))

simplify37.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
955×fma-neg_binary64
318×fma-def_binary64
237×unsub-neg_binary64
228×unswap-sqr_binary64
216×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034683
188636
2196607
3558552
42710542
Stop Event
1×node limit
Counts
181 → 161
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)))
-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)))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) v))
-1
(-.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) 1)
(fma.f64 (+.f64 1 (/.f64 1 v)) m -1)
(fma.f64 m (+.f64 1 (/.f64 1 v)) -1)
(+.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 m (+.f64 (/.f64 m v) -1))
(+.f64 (/.f64 m v) (+.f64 m -1))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (*.f64 (/.f64 (*.f64 m m) v) -2) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 -1)))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 (/.f64 -2 v) (*.f64 m m) -1))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (/.f64 m v) (*.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 v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1)))
(/.f64 (pow.f64 m 3) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (/.f64 (pow.f64 m 3) v))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (/.f64 (pow.f64 m 3) v))
(fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) m))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v))) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))) -1)
(+.f64 -1 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))))
(+.f64 (+.f64 m (/.f64 m v)) (-.f64 (fma.f64 (*.f64 (/.f64 m v) m) -2 (/.f64 (pow.f64 m 3) v)) 1))
(+.f64 m (+.f64 (/.f64 m v) (+.f64 -1 (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))))
(+.f64 m (+.f64 (/.f64 m v) (fma.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m) -1)))
(/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v)
(/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2)))
(*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2))
(*.f64 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 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(*.f64 -1 (-.f64 1 m))
(neg.f64 (-.f64 1 m))
(+.f64 m -1)
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
(+.f64 (/.f64 (*.f64 m (pow.f64 (-.f64 1 m) 2)) v) (*.f64 -1 (-.f64 1 m)))
(+.f64 (/.f64 m (/.f64 v (pow.f64 (-.f64 1 m) 2))) (neg.f64 (-.f64 1 m)))
(-.f64 (*.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2)) (-.f64 1 m))
(fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) (+.f64 m -1))
(+.f64 m (fma.f64 (/.f64 m v) (pow.f64 (-.f64 1 m) 2) -1))
(+.f64 m (fma.f64 m (/.f64 (pow.f64 (-.f64 1 m) 2) v) -1))
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))

prune371.0ms (13.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1583161
Fresh101
Picked011
Done000
Total1594163
Error
0.0b
Counts
163 → 4
Alt Table
StatusErrorProgram
2.8b
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
▶0.2b
(-.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)
✓0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
25.3b
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
Compiler

Compiled 3229 to 2076 computations (35.7% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
✓0.3b
(*.f64 (+.f64 1 (/.f64 1 v)) m)
✓8.0b
(/.f64 (pow.f64 m 3) v)
✓13.6b
(/.f64 (pow.f64 m 2) v)

series14.0ms (0.5%)

Counts
4 → 32
Calls

24 calls:

TimeVariablePointExpression
2.0ms
v
@0
(/.f64 (pow.f64 m 3) v)
1.0ms
m
@0
(/.f64 (pow.f64 m 2) v)
1.0ms
v
@0
(/.f64 (pow.f64 m 2) v)
1.0ms
m
@inf
(/.f64 (pow.f64 m 2) v)
1.0ms
m
@0
(*.f64 (+.f64 1 (/.f64 1 v)) m)

rewrite43.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
190×add-sqr-sqrt_binary64
183×pow1_binary64
181×*-un-lft-identity_binary64
178×add-log-exp_binary64
178×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751
139251
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 3) v)
(*.f64 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
Outputs
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(/.f64 (*.f64 -2 (*.f64 m m)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (*.f64 (/.f64 1 v) m))) (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (*.f64 (/.f64 1 v) m)))) (*.f64 (pow.f64 m 6) (pow.f64 v -2))) (-.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (+.f64 m (*.f64 (/.f64 1 v) m))) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))) 2)))) 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(*.f64 m m)) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)) (/.f64 (*.f64 -2 (*.f64 m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 m (/.f64 v m)) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -2 (*.f64 m m)) v)) 2) (cbrt.f64 (/.f64 (*.f64 -2 (*.f64 m m)) v)) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))) 2) (cbrt.f64 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))) (/.f64 (*.f64 -2 (*.f64 m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 -2)) (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 -2)) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))) (sqrt.f64 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v))) (/.f64 (*.f64 -2 (*.f64 m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 m (/.f64 v m)) -2 (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))))))))

simplify32.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
617×fma-neg_binary64
448×fma-def_binary64
382×cancel-sign-sub-inv_binary64
227×distribute-rgt-out_binary64
214×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037482
196459
2243443
3686391
42412333
Stop Event
1×node limit
Counts
163 → 147
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 (+.f64 1 (/.f64 1 v)) m)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(/.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 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
m
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 -1 m) (*.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 -1 m) (*.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 -1 m) (*.f64 -1 (pow.f64 m 3)))) 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 (+.f64 1 (/.f64 1 v)) m)
(+.f64 m (/.f64 m v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 m (+.f64 1 (/.f64 1 v)) (*.f64 -2 (/.f64 (*.f64 m m) v)))
(+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v)))
(+.f64 m (fma.f64 -2 (*.f64 m (/.f64 m v)) (/.f64 m v)))
(-.f64 m (/.f64 m (/.f64 v (fma.f64 m 2 -1))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 (pow.f64 m 3) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) 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 m -2))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(/.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 m -2))
(*.f64 (/.f64 (*.f64 m m) v) (+.f64 m -2))
(/.f64 (+.f64 (*.f64 -2 (pow.f64 m 2)) (+.f64 (pow.f64 m 3) m)) v)
(/.f64 (fma.f64 -2 (*.f64 m m) (+.f64 m (pow.f64 m 3))) v)
(/.f64 (+.f64 m (*.f64 (*.f64 m m) (+.f64 -2 m))) v)
(/.f64 (fma.f64 (*.f64 m m) (+.f64 m -2) m) v)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
m
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 3) v) m)))
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
m
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 -1 m) (*.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 -1 m) (*.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 -1 m) (*.f64 -1 (pow.f64 m 3)))) v)) m)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (+.f64 1 (/.f64 1 v))))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (/.f64 1 v)) (/.f64 (pow.f64 m 3) v)))
(+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 m (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 m v))))
(+.f64 m (+.f64 (/.f64 m v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))
(-.f64 m (/.f64 (*.f64 m (fma.f64 m (-.f64 2 m) -1)) v))

prune251.0ms (9.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1461147
Fresh022
Picked011
Done011
Total1465151
Error
0b
Counts
151 → 5
Alt Table
StatusErrorProgram
2.8b
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
▶0.2b
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v))))) 1)
✓0.2b
(-.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)
✓0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
25.3b
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
Compiler

Compiled 4636 to 3123 computations (32.6% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 m (sqrt.f64 v))
0.3b
(*.f64 (+.f64 1 (/.f64 1 v)) m)
✓6.6b
(/.f64 (*.f64 m m) (sqrt.f64 v))
13.6b
(/.f64 (pow.f64 m 2) v)

series8.0ms (0.3%)

Counts
2 → 24
Calls

12 calls:

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

rewrite40.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
756×pow1_binary64
703×log1p-expm1-u_binary64
703×expm1-log1p-u_binary64
75×add-sqr-sqrt_binary64
73×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114915
2198615
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) (sqrt.f64 v))
(/.f64 m (sqrt.f64 v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m (sqrt.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (pow.f64 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))) (cbrt.f64 (/.f64 (pow.f64 m 4) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 m 4) v)) (cbrt.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 v 1/4)) (/.f64 m (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (cbrt.f64 v)) (/.f64 m (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 v)) (/.f64 (*.f64 m m) (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (cbrt.f64 v)) (cbrt.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 v 1/4)) (/.f64 (*.f64 m m) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 v 1/4)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (pow.f64 v 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 m (sqrt.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m (sqrt.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 v 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m (sqrt.f64 v)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 m (sqrt.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (pow.f64 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m (sqrt.f64 v))) (cbrt.f64 (/.f64 (*.f64 m m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 m m) v)) (cbrt.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 m (sqrt.f64 v))) (sqrt.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 v)) (/.f64 m (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 v 1/4)) (/.f64 m (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 v 1/4)) (/.f64 (cbrt.f64 m) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 v)) (cbrt.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (sqrt.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 m (sqrt.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 m (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (sqrt.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 m (sqrt.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (sqrt.f64 v))))))))

simplify65.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
605×sqr-pow_binary64
444×associate-*l*_binary64
434×unswap-sqr_binary64
281×cube-prod_binary64
276×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010252
118252
225252
344252
4105252
5313252
61190252
72061252
82225252
92409252
102617252
112909252
123300252
133780252
144343252
Stop Event
1×node limit
Counts
91 → 70
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
Outputs
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m m))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)

prune133.0ms (4.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done022
Total1285133
Error
0b
Counts
133 → 5
Alt Table
StatusErrorProgram
▶2.8b
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
✓0.2b
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v))))) 1)
✓0.2b
(-.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)
✓0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
25.3b
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
Compiler

Compiled 4334 to 2297 computations (47% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
✓0.1b
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
✓2.5b
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))

series13.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
v
@0
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
1.0ms
v
@-inf
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
1.0ms
v
@inf
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
1.0ms
m
@-inf
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
1.0ms
m
@inf
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))

rewrite67.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
609×prod-diff_binary64
149×add-sqr-sqrt_binary64
145×*-un-lft-identity_binary64
145×pow1_binary64
138×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01357
128948
2416348
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
(*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (*.f64 m (neg.f64 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 m (neg.f64 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) (-.f64 1 (*.f64 m m))) (*.f64 -1 (-.f64 1 (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (-.f64 1 (*.f64 m m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 6)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 (+.f64 1 (pow.f64 m 4)) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 4)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 1 (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 6))) (+.f64 (+.f64 1 (pow.f64 m 4)) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (-.f64 1 (pow.f64 m 4))) (+.f64 1 (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 m m))) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 m m)) 3) (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) 3) (pow.f64 (-.f64 1 (*.f64 m m)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))))

simplify46.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
767×fma-neg_binary64
335×cancel-sign-sub-inv_binary64
211×fma-def_binary64
202×sub-neg_binary64
151×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821587
12621507
27421309
326641095
Stop Event
1×node limit
Counts
164 → 143
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 (+.f64 1 (*.f64 2 (/.f64 1 v))) (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 2 (/.f64 1 v))) (/.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 -1 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 (/.f64 1 v))) (*.f64 2 (/.f64 1 v))) m)) (/.f64 (pow.f64 m 3) v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 (/.f64 1 v))) (*.f64 2 (/.f64 1 v))) m)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 3) v)))) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 1 (/.f64 1 v))) (*.f64 2 (/.f64 1 v)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) (*.f64 v (+.f64 1 m))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) (*.f64 v (+.f64 1 m))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m)))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m)))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.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)
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 (-.f64 1 (/.f64 1 v)) (pow.f64 m 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (/.f64 m v) (*.f64 (-.f64 1 (/.f64 1 v)) (pow.f64 m 2)))) 1)
(/.f64 (pow.f64 m 4) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 4) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (/.f64 (pow.f64 m 4) v) (*.f64 (-.f64 1 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 4) v) (*.f64 (-.f64 1 (/.f64 1 v)) (pow.f64 m 2)))))
(/.f64 (pow.f64 m 4) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 4) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (/.f64 (pow.f64 m 4) v) (*.f64 (-.f64 1 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (/.f64 m v) (+.f64 (/.f64 (pow.f64 m 4) v) (*.f64 (-.f64 1 (/.f64 1 v)) (pow.f64 m 2)))))
(/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v)
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) v))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) v))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) v))
(*.f64 -1 (-.f64 1 (pow.f64 m 2)))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v))
(*.f64 -1 (-.f64 1 (pow.f64 m 2)))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v))
(+.f64 (*.f64 -1 (-.f64 1 (pow.f64 m 2))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) v))
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 -1 (/.f64 m v)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (*.f64 (+.f64 1 (/.f64 1 v)) m)) 1)
(+.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (*.f64 (+.f64 1 (/.f64 1 v)) m)) -1)
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m -1))
(+.f64 (+.f64 m (/.f64 m v)) (fma.f64 -2 (*.f64 (/.f64 m v) m) -1))
(+.f64 -1 (+.f64 m (*.f64 (+.f64 (*.f64 m -2) 1) (/.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 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (+.f64 m (/.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 -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 (+.f64 1 (*.f64 2 (/.f64 1 v))) (/.f64 1 v)) m) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (-.f64 (/.f64 2 v) (/.f64 1 v))) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (+.f64 (/.f64 2 v) (/.f64 -1 v))) (/.f64 (pow.f64 m 3) v)))
(fma.f64 m (+.f64 1 (*.f64 (/.f64 1 v) 1)) (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 m (/.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 (+.f64 1 (*.f64 2 (/.f64 1 v))) (/.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 (*.f64 m m) v) (fma.f64 (+.f64 1 (/.f64 1 v)) m (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))))
(+.f64 -1 (+.f64 (+.f64 m (/.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 -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 -1 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 (/.f64 1 v))) (*.f64 2 (/.f64 1 v))) m)) (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 (+.f64 1 (-.f64 (/.f64 2 v) (/.f64 1 v))) m (/.f64 (pow.f64 m 3) v)))
(fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 m (+.f64 1 (+.f64 (/.f64 2 v) (/.f64 -1 v))) (/.f64 (pow.f64 m 3) v)))
(fma.f64 m (+.f64 1 (*.f64 (/.f64 1 v) 1)) (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v)))
(+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (-.f64 1 (/.f64 1 v))) (*.f64 2 (/.f64 1 v))) m)) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 3) v)))) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 1 (/.f64 1 v))) (*.f64 2 (/.f64 1 v)))))
(-.f64 (fma.f64 -2 (/.f64 (*.f64 m m) v) (fma.f64 -1 (*.f64 m (-.f64 (neg.f64 (-.f64 1 (/.f64 1 v))) (/.f64 2 v))) (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 3) v)))) (neg.f64 (-.f64 (neg.f64 (-.f64 1 (/.f64 1 v))) (/.f64 2 v))))
(+.f64 (fma.f64 -1 (-.f64 1 (/.f64 1 v)) (/.f64 -2 v)) (fma.f64 -2 (/.f64 (*.f64 m m) v) (-.f64 (+.f64 (/.f64 1 v) (/.f64 (pow.f64 m 3) v)) (*.f64 m (fma.f64 -1 (-.f64 1 (/.f64 1 v)) (/.f64 -2 v))))))
(+.f64 (+.f64 (/.f64 1 v) (fma.f64 -2 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))) (*.f64 (neg.f64 (+.f64 1 (*.f64 (/.f64 1 v) 1))) (-.f64 (neg.f64 m) -1)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) (+.f64 m -1)) (+.f64 (/.f64 1 v) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m)))
(/.f64 (-.f64 1 (*.f64 m m)) (/.f64 (*.f64 v (+.f64 1 m)) (*.f64 m (-.f64 1 m))))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m)))
(/.f64 (*.f64 (-.f64 1 m) (-.f64 m (pow.f64 m 3))) (fma.f64 v m v))
(*.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (fma.f64 v m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))) (/.f64 (*.f64 m (*.f64 (-.f64 1 (pow.f64 m 2)) (-.f64 1 m))) (*.f64 v (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m)))
(neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 m m))) (+.f64 1 m))
(/.f64 (+.f64 -1 (*.f64 m m)) (+.f64 1 m))
(/.f64 (fma.f64 m m -1) (+.f64 1 m))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m)))
(neg.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 m m))) (+.f64 1 m))
(/.f64 (+.f64 -1 (*.f64 m m)) (+.f64 1 m))
(/.f64 (fma.f64 m m -1) (+.f64 1 m))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 m 2)) (*.f64 m (-.f64 1 m))) (*.f64 v (+.f64 1 m))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 m 2)) (+.f64 1 m))))
(fma.f64 -1 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (-.f64 1 m)) (+.f64 1 m))))
(-.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)) (*.f64 (/.f64 m v) (-.f64 1 m))) (/.f64 (-.f64 1 (*.f64 m m)) (+.f64 1 m)))
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prune172.0ms (6.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done033
Total1435148
Error
0b
Counts
148 → 5
Alt Table
StatusErrorProgram
✓2.8b
(/.f64 (*.f64 (-.f64 1 (*.f64 m m)) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) (+.f64 m 1))
✓0.2b
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 m 2) v)) (+.f64 (*.f64 (+.f64 1 (/.f64 1 v)) m) (*.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v))))) 1)
✓0.2b
(-.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)
✓0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
25.3b
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)
Compiler

Compiled 3155 to 1989 computations (37% saved)

regimes77.0ms (2.8%)

Accuracy

Total -29.8b remaining (-42977.5%)

Threshold costs -29.8b (-42977.5%)

Counts
44 → 1
Compiler

Compiled 674 to 419 computations (37.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11825
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
Outputs
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 -2 m))))
(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (*.f64 (*.f64 m (/.f64 m v)) (+.f64 m -2))))

end72.0ms (2.6%)

Stop Event
1×fuel
Compiler

Compiled 136 to 87 computations (36% saved)

Profiling

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