Details

Time bar (total: 5.3s)

analyze8.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.3s (24.9%)

Results
1.3s8256×body256valid
2.0ms17×body256invalid

preprocess115.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
748×fma-neg_binary64
738×div-sub_binary64
598×fma-def_binary64
488×associate-/l*_binary64
410×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
13729
28927
323827
471127
5168925
6291725
7520025
8754125
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify77.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
748×fma-neg_binary64
738×div-sub_binary64
598×fma-def_binary64
488×associate-/l*_binary64
410×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01529
13729
28927
323827
471127
5168925
6291725
7520025
8754125
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (/.f64 (sqrt.f64 2) 4) (-.f64 1 (*.f64 v v))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (fma.f64 v v -1) (/.f64 (sqrt.f64 2) -4)))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 -1/4 (fma.f64 v v -1))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))

eval2.0ms (0%)

Compiler

Compiled 37 to 28 computations (24.3% saved)

prune2.0ms (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
▶0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
▶0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 38 to 29 computations (23.7% saved)

localize27.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
✓0.0b
(*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))
Compiler

Compiled 61 to 45 computations (26.2% saved)

series31.0ms (0.6%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
26.0ms
v
@0
(*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))
1.0ms
v
@inf
(*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))
1.0ms
v
@-inf
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
1.0ms
v
@inf
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
1.0ms
v
@-inf
(*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))

rewrite63.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
536×log-prod_binary64
413×exp-prod_binary64
367×prod-exp_binary64
313×pow-prod-down_binary64
307×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
127223
2286423
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))
(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 (pow.f64 (fma.f64 v v -1) 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 v v -1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 (*.f64 (fma.f64 v v -1) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (*.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (*.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) 1) (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) (*.f64 (log.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) 1) (*.f64 (log.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v v -1) -1/4)) 1) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3))))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 v (*.f64 v -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1) 1))))))

simplify58.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
951×fma-neg_binary64
749×associate-*l*_binary64
586×associate-*r*_binary64
585×fma-def_binary64
452×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060466
1172454
2490409
31626389
46424389
Stop Event
1×node limit
Counts
95 → 98
Calls
Call 1
Inputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
Outputs
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/4 v) v))
(*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/4 v) v))
(*.f64 (sqrt.f64 2) (*.f64 -1/4 (*.f64 v v)))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v v))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -1/4)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (*.f64 -1/4 v) v)))
(*.f64 (sqrt.f64 2) (fma.f64 -1/4 (*.f64 v v) 1/4))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3/2))
(fma.f64 (*.f64 v v) -3/2 1)
(fma.f64 v (*.f64 v -3/2) 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (*.f64 -9/8 (pow.f64 v 4)))
(fma.f64 v (*.f64 v -3/2) (fma.f64 -9/8 (pow.f64 v 4) 1))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 (fma.f64 v (*.f64 v -3/2) 1) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 -9/8 (pow.f64 v 4))))
(fma.f64 v (*.f64 v -3/2) (fma.f64 -27/16 (pow.f64 v 6) (fma.f64 -9/8 (pow.f64 v 4) 1)))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))))
(-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))))
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (*.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))
(+.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))))

localize68.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
✓0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
✓0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓0.2b
(*.f64 3 (*.f64 v v))
Compiler

Compiled 72 to 48 computations (33.3% saved)

series46.0ms (0.9%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
40.0ms
v
@0
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
1.0ms
v
@inf
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
1.0ms
v
@-inf
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
1.0ms
v
@inf
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
1.0ms
v
@0
(*.f64 3 (*.f64 v v))

rewrite157.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
705×log-prod_binary64
701×prod-diff_binary64
288×fma-def_binary64
255×expm1-udef_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01568
133158
2410952
Stop Event
1×node limit
Counts
4 → 140
Calls
Call 1
Inputs
(*.f64 3 (*.f64 v v))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 3 (*.f64 v v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 v v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3 (*.f64 v v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 3 (*.f64 v v) 1)) (cbrt.f64 (fma.f64 3 (*.f64 v v) 1))) (cbrt.f64 (fma.f64 3 (*.f64 v v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 3))) (hypot.f64 1 (*.f64 v (sqrt.f64 3))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (-.f64 1 (pow.f64 v 6))) (*.f64 4 (+.f64 1 (fma.f64 v v (pow.f64 v 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (-.f64 1 (pow.f64 v 4))) (*.f64 4 (fma.f64 v v 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (*.f64 (+.f64 1 (fma.f64 v v (pow.f64 v 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (*.f64 (fma.f64 v v 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (-.f64 1 (*.f64 v v))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 2) (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 1/4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (*.f64 1/4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (sqrt.f64 1/8) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 1 (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 1 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (sqrt.f64 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (sqrt.f64 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (*.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (cbrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (cbrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) 1/4 (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) 1/4 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (cbrt.f64 (fma.f64 (*.f64 v v) -3 1))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (cbrt.f64 (fma.f64 (*.f64 v v) -3 1))) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4)) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4)) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1/2) (cbrt.f64 (sqrt.f64 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1/2) (cbrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (sqrt.f64 (sqrt.f64 1/8))) (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (sqrt.f64 (sqrt.f64 1/8))) (sqrt.f64 (sqrt.f64 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (*.f64 v (neg.f64 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 4 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (/.f64 4 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (neg.f64 (sqrt.f64 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2) (*.f64 (sqrt.f64 1/8) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 9 (pow.f64 v 4)))) (hypot.f64 1 (*.f64 v (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 27 (pow.f64 v 6)))) (hypot.f64 1 (hypot.f64 (*.f64 3 (*.f64 v v)) (*.f64 v (sqrt.f64 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 v v) -3 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 (*.f64 v v) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 v v) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (*.f64 v v) -3))) 1))))))

simplify93.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
645×associate-*l*_binary64
564×associate-*r*_binary64
356×associate-/r*_binary64
303×associate-+l+_binary64
243×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01581365
15071329
217561237
363761236
Stop Event
1×node limit
Counts
188 → 209
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (pow.f64 v 2))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (*.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
Outputs
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 3 (pow.f64 v 2))
(*.f64 3 (*.f64 v v))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))))
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2))))
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 -5/2 (*.f64 v v)))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 v (*.f64 v (*.f64 (sqrt.f64 2) -5/8))))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2)))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 1/4 (+.f64 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)))))
(*.f64 1/4 (+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (sqrt.f64 2) (*.f64 -5/2 (*.f64 v v))))))
(*.f64 1/4 (+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8)))))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2))))) (*.f64 1/4 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2))))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8)) (*.f64 1/4 (+.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16))))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 1/4 (+.f64 (*.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (*.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6)))))))
(fma.f64 1/4 (sqrt.f64 2) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/64))))
(*.f64 1/4 (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16))) (*.f64 (+.f64 (*.f64 (pow.f64 v 4) 3/8) 1) (sqrt.f64 2))))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -1/4))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/4 (pow.f64 v 3)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -1/4)))
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/4 (pow.f64 v 3)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -1/4))))
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/4 (pow.f64 v 3)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (sqrt.f64 -3) -1/4)))))
(fma.f64 1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (fma.f64 1/4 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 -1/4 (pow.f64 v 3)) (sqrt.f64 -3))))))
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(*.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))))
(*.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (*.f64 (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 v -1/4)))
(fma.f64 (*.f64 v -1/4) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 2) (*.f64 1/4 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (*.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 (/.f64 -1/4 v) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24))))
(+.f64 (*.f64 -1/4 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 -1/4 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 -1/4 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2)) v) (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3)) (fma.f64 1/4 (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 2) (pow.f64 v 3))) (*.f64 -1/4 (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(fma.f64 -1/4 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (fma.f64 -1/4 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3)) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 (/.f64 -1/4 v) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24)))))
(*.f64 1/4 (sqrt.f64 2))
(+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2))))
(fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8)))
(*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 v (*.f64 v -3/8))))
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2)))))
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)))))
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -3/8))))
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 v (*.f64 v -3/8)))))
(+.f64 (*.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4))) (+.f64 (*.f64 1/4 (sqrt.f64 2)) (+.f64 (*.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6))) (*.f64 -3/8 (*.f64 (sqrt.f64 2) (pow.f64 v 2))))))
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -27/64 (*.f64 (sqrt.f64 2) (pow.f64 v 6)) (*.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2))))))
(fma.f64 -9/32 (*.f64 (sqrt.f64 2) (pow.f64 v 4)) (fma.f64 1/4 (sqrt.f64 2) (fma.f64 -3/8 (*.f64 (*.f64 v v) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) -27/64)))))
(+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 v (*.f64 v -3/8)) (*.f64 (pow.f64 v 6) -27/64))) (*.f64 (sqrt.f64 2) (+.f64 1/4 (*.f64 (pow.f64 v 4) -9/32))))
(*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 1/4 (sqrt.f64 -3))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (/.f64 1/8 (/.f64 (*.f64 v (sqrt.f64 -3)) (sqrt.f64 2))))
(fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 1/8 v)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 -1/32 (pow.f64 v 3)) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) -3)))))
(fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3)))))
(+.f64 (*.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 -1/32 (pow.f64 v 3)) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) -3))))))
(fma.f64 1/64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (/.f64 1/96 (sqrt.f64 -3))))))
(*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))))
(*.f64 (*.f64 -1/4 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3)))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 v (sqrt.f64 -3)) -1/4))
(*.f64 v (*.f64 (sqrt.f64 2) (*.f64 -1/4 (sqrt.f64 -3))))
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 -1/4 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3))))
(fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 -1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (/.f64 -1/8 v)))
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32)))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) 1/32)))
(fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (fma.f64 -1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) -1/96)))
(+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/32 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 -1/64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) 1/32))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (fma.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) -1/64 (fma.f64 -1/4 (*.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) 1/32))))
(fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v) (fma.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)) -1/64 (fma.f64 -1/4 (*.f64 v (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) -1/96))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3/2))
(fma.f64 (*.f64 v v) -3/2 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 (pow.f64 v 4) -9/8)))
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (*.f64 (pow.f64 v 4) -9/8))
(+.f64 1 (fma.f64 (*.f64 v v) -3/2 (*.f64 (pow.f64 v 4) -9/8)))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 (pow.f64 v 4) -9/8))))
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 (pow.f64 v 6) -27/16)))
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 6) -27/16 (*.f64 (pow.f64 v 4) -9/8)))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v) (+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)) (/.f64 1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 (sqrt.f64 -3) (neg.f64 v))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)))
(-.f64 (/.f64 (/.f64 -1/2 v) (sqrt.f64 -3)) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v))))
(-.f64 (/.f64 -1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))))
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 (sqrt.f64 -3)) v)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))
(+.f64 (-.f64 (/.f64 -1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))
(+.f64 (-.f64 (/.f64 -1/24 (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 (/.f64 -1/16 (pow.f64 v 5)) (pow.f64 (sqrt.f64 -3) 5)))

eval284.0ms (5.3%)

Compiler

Compiled 7655 to 5837 computations (23.7% saved)

prune51.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3034307
Fresh000
Picked101
Done011
Total3045309
Error
0b
Counts
309 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
▶0.0b
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
▶0.4b
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2)))
▶0.0b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) 4)
▶0.7b
(*.f64 1/4 (sqrt.f64 2))
Compiler

Compiled 71 to 55 computations (22.5% saved)

localize5.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize17.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 v v) -5/2)
Compiler

Compiled 45 to 30 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (*.f64 v v) -5/2)
0.0ms
v
@inf
(*.f64 (*.f64 v v) -5/2)
0.0ms
v
@-inf
(*.f64 (*.f64 v v) -5/2)

rewrite44.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
431×pow1_binary64
421×add-sqr-sqrt_binary64
410×*-un-lft-identity_binary64
402×add-log-exp_binary64
402×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211487
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (*.f64 v v) -5/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2)) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 v (*.f64 v -5/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 25/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 v v)) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log1p.f64 -7/2)))))))

simplify179.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
Outputs
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))

localize32.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (*.f64 v v) -3 1)
✓0.0b
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 51 to 30 computations (41.2% saved)

series9.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
v
@0
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
2.0ms
v
@0
(fma.f64 (*.f64 v v) -3 1)
2.0ms
v
@inf
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
1.0ms
v
@-inf
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
1.0ms
v
@inf
(fma.f64 (*.f64 v v) -3 1)

rewrite80.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
470×log-prod_binary64
392×prod-exp_binary64
353×exp-prod_binary64
295×pow-prod-down_binary64
265×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
123030
2269330
Stop Event
1×node limit
Counts
2 → 88
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
(fma.f64 (*.f64 v v) -3 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v))))) 2)) (cbrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))))) (sqrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (*.f64 v v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2) (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1) (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1) (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 v (neg.f64 v))) (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1) (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 v (neg.f64 v))) (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 v (neg.f64 v))) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1 (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/6) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 1/8) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 v (*.f64 v -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 v (*.f64 v -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 v (*.f64 v -3)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 v (*.f64 v -3) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 v (*.f64 v -3) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 v -3) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 v (*.f64 v -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 v (*.f64 v -3)) 3) 1) (+.f64 (pow.f64 (*.f64 v (*.f64 v -3)) 2) (-.f64 1 (*.f64 (*.f64 v (*.f64 v -3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 v (*.f64 v -3)) 2) 1) (fma.f64 v (*.f64 v -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 v (*.f64 v -3)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 v (*.f64 v -3))))) (sqrt.f64 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 v (*.f64 v -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1) 1))))))

simplify70.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
756×fma-def_binary64
565×fma-neg_binary64
496×distribute-rgt-out_binary64
408×cancel-sign-sub-inv_binary64
329×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
093651
1289615
21109557
35119521
Stop Event
1×node limit
Counts
112 → 116
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
Outputs
(sqrt.f64 1/8)
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8))
(fma.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v v) -5/2) (sqrt.f64 1/8))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (fma.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8))))
(+.f64 (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (pow.f64 v 4) 3/8) (*.f64 (pow.f64 v 6) -9/16))))
(+.f64 (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (neg.f64 (sqrt.f64 1/8)))
(*.f64 (neg.f64 (sqrt.f64 1/8)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3)))))
(fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 1/8) -1/2) (sqrt.f64 -3))) (*.f64 (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (neg.f64 (sqrt.f64 1/8))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (*.f64 v -1/2)) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))
(+.f64 (*.f64 -1/2 (*.f64 v (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 1/8) -1/2) (sqrt.f64 -3))) (*.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v))) (fma.f64 (neg.f64 (pow.f64 v 3)) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v)))
(fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(+.f64 (+.f64 (*.f64 -1/2 (*.f64 v (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) 11/24))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) v) (sqrt.f64 -3))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 1/8) -1/2) (sqrt.f64 -3))) (*.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v))) (/.f64 (*.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 3)) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (/.f64 (sqrt.f64 1/8) (*.f64 -3 (sqrt.f64 -3))) (+.f64 (/.f64 1/8 v) (/.f64 -1/8 (pow.f64 v 3))))) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(-.f64 (+.f64 (fma.f64 v (*.f64 (sqrt.f64 1/8) (+.f64 (sqrt.f64 -3) (/.f64 -1/2 (sqrt.f64 -3)))) (*.f64 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v) 11/24)) (*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5))))) (*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (pow.f64 v 3))))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 -3) (*.f64 (sqrt.f64 1/8) (pow.f64 v 3)))
(+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 1/8) -1/2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(-.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (*.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/8) v)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v) (fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3)))))))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 1/8) -1/2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (+.f64 (*.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v)))
(+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/8) v)) (sqrt.f64 -3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))))))
(-.f64 (-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 1/8) -1/2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (*.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (/.f64 (sqrt.f64 1/8) 24) (sqrt.f64 -3))) (pow.f64 v 3))))
(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/8) v)) (sqrt.f64 -3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v)) (/.f64 (*.f64 (sqrt.f64 1/8) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)))
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(*.f64 -3 (pow.f64 v 2))
(*.f64 (*.f64 v v) -3)
(*.f64 v (*.f64 v -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(*.f64 -3 (pow.f64 v 2))
(*.f64 (*.f64 v v) -3)
(*.f64 v (*.f64 v -3))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3))
(fma.f64 (*.f64 v v) -3 1)
(fma.f64 v (*.f64 v -3) 1)

localize27.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
0.0b
(fma.f64 (*.f64 v v) -3 1)
✓0.0b
(sqrt.f64 (fma.f64 (*.f64 v v) -3 1))
Compiler

Compiled 76 to 46 computations (39.5% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
v
@-inf
(sqrt.f64 (fma.f64 (*.f64 v v) -3 1))
1.0ms
v
@inf
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
1.0ms
v
@0
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
1.0ms
v
@-inf
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
0.0ms
v
@0
(sqrt.f64 (fma.f64 (*.f64 v v) -3 1))

rewrite72.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
522×log-prod_binary64
389×exp-prod_binary64
361×pow-prod-down_binary64
288×pow2_binary64
201×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01234
124932
2290832
Stop Event
1×node limit
Counts
2 → 75
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 (*.f64 v v) -3 1))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3))))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (*.f64 v (*.f64 v -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 v (*.f64 v -3)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) 1) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (fma.f64 v (*.f64 v -3) 1) (pow.f64 (-.f64 1 (*.f64 v v)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 (fma.f64 v (*.f64 v -3) 1) (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 v v))) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (sqrt.f64 2) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) 1 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)) 1/4) (pow.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1))) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/6) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4)) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))

simplify65.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
870×fma-def_binary64
617×distribute-rgt-out_binary64
363×associate-+l+_binary64
362×associate-*l*_binary64
347×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0121826
1382794
21396721
36216670
Stop Event
1×node limit
Counts
99 → 120
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2)))) (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2)))))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3/2 (*.f64 v v)))
(fma.f64 -3/2 (*.f64 v v) 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 (fma.f64 -3/2 (*.f64 v v) 1) (*.f64 -9/8 (pow.f64 v 4)))
(fma.f64 -3/2 (*.f64 v v) (fma.f64 -9/8 (pow.f64 v 4) 1))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 -3/2 (*.f64 v v) 1) (fma.f64 -9/8 (pow.f64 v 4) (*.f64 -27/16 (pow.f64 v 6))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -9/8 (pow.f64 v 4) (*.f64 -27/16 (pow.f64 v 6)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))) (/.f64 -1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))))
(+.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (/.f64 1/24 (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))))
(-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (/.f64 (/.f64 -1/2 v) (sqrt.f64 -3)) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(fma.f64 (neg.f64 v) (sqrt.f64 -3) (-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))))
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -3) (*.f64 -3 (pow.f64 v 3)))) (*.f64 v (sqrt.f64 -3))) (-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/2 v) (sqrt.f64 -3)))) (/.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (sqrt.f64 2))
(fma.f64 v (*.f64 -5/2 (*.f64 v (sqrt.f64 2))) (sqrt.f64 2))
(fma.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8))))
(+.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (*.f64 (*.f64 v v) (sqrt.f64 2)) -5/2)))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) 3/8) -5/2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2)))) (*.f64 (pow.f64 v 6) (+.f64 (*.f64 9/8 (sqrt.f64 2)) (*.f64 -27/16 (sqrt.f64 2)))))))
(+.f64 (sqrt.f64 2) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16)))))
(+.f64 (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (sqrt.f64 2)) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) -9/16))))
(+.f64 (sqrt.f64 2) (fma.f64 v (*.f64 -5/2 (*.f64 v (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) (*.f64 (pow.f64 v 6) -9/16)))))
(+.f64 (fma.f64 v (*.f64 (*.f64 v -5/2) (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 4) 3/8) (*.f64 (pow.f64 v 6) -9/16))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))
(*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 2))))
(+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (sqrt.f64 2))) (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(fma.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(-.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))))
(fma.f64 v (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 2)) (-.f64 v (pow.f64 v 3))))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (sqrt.f64 2))) (fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (fma.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 (/.f64 1/2 v) (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))))))
(fma.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 -1/24 (sqrt.f64 -3)))) (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2)))))
(+.f64 (fma.f64 v (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 2)) (-.f64 v (pow.f64 v 3)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) 11/24))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(fma.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (sqrt.f64 2))) (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(+.f64 (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (+.f64 (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 3)) (/.f64 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 (/.f64 1/2 v) (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2)))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 -1/24 (sqrt.f64 -3)))) (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))))
(+.f64 (+.f64 (fma.f64 v (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 2)) (-.f64 v (pow.f64 v 3)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) 11/24)) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)))
(*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2)))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 -1 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (sqrt.f64 2)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3))))
(-.f64 (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 2)) (-.f64 (pow.f64 v 3) v)) (*.f64 v (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (sqrt.f64 2)))) (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))
(-.f64 (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))))
(+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 2)) (-.f64 (pow.f64 v 3) v)) (*.f64 v (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(fma.f64 -1 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (sqrt.f64 2)))) (fma.f64 -1 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 -1/16 (sqrt.f64 2)) (pow.f64 (sqrt.f64 -3) 5))) (pow.f64 v 3)) (fma.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -3) (pow.f64 v 3)) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v)))))
(-.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))) (/.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3))) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 -3) (*.f64 (pow.f64 v 3) (sqrt.f64 2))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)) (fma.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 2) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/24)) (pow.f64 v 3))))
(-.f64 (fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 2)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v)) (fma.f64 v (*.f64 (sqrt.f64 2) (+.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))

eval187.0ms (3.5%)

Compiler

Compiled 7000 to 5434 computations (22.4% saved)

prune79.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2865291
Fresh000
Picked101
Done404
Total2915296
Error
0b
Counts
296 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.7b
(sqrt.f64 1/8)
▶0.0b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v)))) 4)
▶0.6b
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
▶0.0b
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
▶0.4b
(*.f64 1/4 (*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 2)))
Compiler

Compiled 128 to 104 computations (18.8% saved)

localize24.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 v (*.f64 v -3)) 1)
✓0.0b
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
✓0.2b
(*.f64 v (*.f64 v -3))
Compiler

Compiled 63 to 43 computations (31.7% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
1.0ms
v
@0
(*.f64 v (*.f64 v -3))
0.0ms
v
@inf
(*.f64 v (*.f64 v -3))
0.0ms
v
@inf
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
0.0ms
v
@-inf
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))

rewrite103.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
623×log-prod_binary64
503×prod-diff_binary64
327×pow2_binary64
292×fma-def_binary64
227×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
128037
2346537
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(*.f64 v (*.f64 v -3))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 v (*.f64 v -3)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 4) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 6) -27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 v 6) -27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v -3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 v (*.f64 v -3) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 v 6) -27 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 v 4) 9 -1) (/.f64 1 (fma.f64 v (*.f64 v -3) -1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (fma.f64 v (neg.f64 v) 1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2) (pow.f64 (fma.f64 v (neg.f64 v) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 v (neg.f64 v) 1) 3) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) (pow.f64 (fma.f64 v (neg.f64 v) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 v (neg.f64 v) 1)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2) (pow.f64 (fma.f64 v (neg.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 v (neg.f64 v) 1) 3) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (log1p.f64 (*.f64 v (neg.f64 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1 (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 1 (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/8) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (pow.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8) 1/4) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v -3) 1) 1/8)) (*.f64 v (neg.f64 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 v (*.f64 v -3) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 v 4) 9) (fma.f64 v (*.f64 v -3) -1)) (/.f64 1 (fma.f64 v (*.f64 v -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 v (*.f64 v -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 2) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 v 6) -27 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 v 4) 9 -1) (/.f64 1 (fma.f64 v (*.f64 v -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3))) (fma.f64 (pow.f64 v 6) -27 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 v (*.f64 v -3) -1) (fma.f64 (pow.f64 v 4) 9 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 v 6) -27 1) (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 v 6) -27 1) (+.f64 1 (fma.f64 (pow.f64 v 4) 9 (neg.f64 (*.f64 v (*.f64 v -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 v 4) 9 -1) (fma.f64 v (*.f64 v -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 v 6) -27 1)) (neg.f64 (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 v 4) 9 -1)) (neg.f64 (fma.f64 v (*.f64 v -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 v 4) 9)) (-.f64 1 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3))) (fma.f64 (pow.f64 v 6) -27 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v (*.f64 v -3) -1) (fma.f64 (pow.f64 v 4) 9 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 v (*.f64 v -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (*.f64 v -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (*.f64 v v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v -3) v 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (*.f64 v -3)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 v (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v v) -3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 v 4)) (*.f64 (pow.f64 (cbrt.f64 v) 2) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 v (*.f64 v -3))) (cbrt.f64 (*.f64 (pow.f64 v 4) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 4) 9)) (cbrt.f64 (*.f64 v (*.f64 v -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 v 4) 9)) (*.f64 (cbrt.f64 (*.f64 v (*.f64 v -3))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 v -3)) 2) (*.f64 (cbrt.f64 (*.f64 v -3)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 -3)) (*.f64 v (sqrt.f64 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 -3)) (*.f64 (*.f64 v (sqrt.f64 -3)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 v -3)) (*.f64 (sqrt.f64 (*.f64 v -3)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (pow.f64 (cbrt.f64 (*.f64 v -3)) 2)) (cbrt.f64 (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 (*.f64 v -3))) (sqrt.f64 (*.f64 v -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v -3) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v -3) (sqrt.f64 v)) (sqrt.f64 v) 1)))))

simplify63.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
756×fma-def_binary64
565×fma-neg_binary64
496×distribute-rgt-out_binary64
408×cancel-sign-sub-inv_binary64
330×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
093735
1289699
21111641
35118605
Stop Event
1×node limit
Counts
158 → 149
Calls
Call 1
Inputs
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (pow.f64 v 2))
(sqrt.f64 1/8)
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(*.f64 -3 (pow.f64 v 2))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
Outputs
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(sqrt.f64 1/8)
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (sqrt.f64 1/8))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (sqrt.f64 1/8))
(fma.f64 v (*.f64 v (*.f64 (sqrt.f64 1/8) -5/2)) (sqrt.f64 1/8))
(*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8)))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (sqrt.f64 1/8)))
(+.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))
(+.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) (+.f64 -5/2 (*.f64 (*.f64 v v) 3/8)))))
(+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 1/8)) (*.f64 -3/2 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 3/2 (sqrt.f64 1/8)) (*.f64 -9/8 (sqrt.f64 1/8)))) (+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -27/16 (sqrt.f64 1/8)) (*.f64 9/8 (sqrt.f64 1/8)))) (sqrt.f64 1/8))))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/8) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 1/8) 3/8) (fma.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 1/8) -9/16) (sqrt.f64 1/8))))
(+.f64 (fma.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 6) -9/16) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8)) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 4) (+.f64 3/8 (*.f64 -9/16 (*.f64 v v))))))
(*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))
(*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (pow.f64 v 3)))
(*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3)))))
(fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (pow.f64 v 3))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v -1/2)) (sqrt.f64 -3)) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))
(+.f64 (*.f64 v (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 1/8))) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v (/.f64 (*.f64 1/2 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v))) (fma.f64 (neg.f64 (pow.f64 v 3)) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v)))
(fma.f64 (/.f64 -1/24 (sqrt.f64 -3)) (/.f64 (sqrt.f64 1/8) v) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(+.f64 (+.f64 (*.f64 v (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 1/8))) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (*.f64 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3))) 11/24))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3)))))))))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 1/8) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))) v (/.f64 (*.f64 1/2 (sqrt.f64 1/8)) (*.f64 v (sqrt.f64 -3))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 v (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) v))) (/.f64 (*.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 -1/16 (/.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 3)) (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))) v))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (fma.f64 (/.f64 -1/16 (pow.f64 v 3)) (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 (/.f64 (sqrt.f64 1/8) (*.f64 -3 (sqrt.f64 -3))) (+.f64 (/.f64 -1/8 (pow.f64 v 3)) (/.f64 1/8 v)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)) (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (*.f64 v -1/2) (/.f64 1/2 v)))))
(-.f64 (+.f64 (fma.f64 v (*.f64 (sqrt.f64 1/8) (+.f64 (sqrt.f64 -3) (/.f64 -1/2 (sqrt.f64 -3)))) (*.f64 (/.f64 (sqrt.f64 1/8) (*.f64 v (sqrt.f64 -3))) 11/24)) (*.f64 (/.f64 (sqrt.f64 1/8) (pow.f64 v 3)) (+.f64 (/.f64 1/24 (sqrt.f64 -3)) (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5))))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(-.f64 0 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v -1/2)) (sqrt.f64 -3)) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (/.f64 (*.f64 v 1/2) (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3)))))))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 0 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v -1/2)) (sqrt.f64 -3)) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v))
(+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (/.f64 (*.f64 v 1/2) (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3))) (+.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8))) (*.f64 -1 (*.f64 v (+.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 1/8)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2)) v) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 -1/8 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 3)))) (pow.f64 v 3)) (fma.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (neg.f64 (*.f64 v (fma.f64 (sqrt.f64 -3) (sqrt.f64 1/8) (/.f64 (*.f64 -1/2 (sqrt.f64 1/8)) (sqrt.f64 -3))))))))
(-.f64 (-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 1/8) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 1/8) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) (pow.f64 v 3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)))) v))
(-.f64 (-.f64 0 (+.f64 (/.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v -1/2)) (sqrt.f64 -3)) (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (+.f64 (neg.f64 (pow.f64 v 3)) v)))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) 11/24) v) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 1/8) (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (/.f64 (sqrt.f64 1/8) 24) (sqrt.f64 -3))) (pow.f64 v 3))))
(+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (/.f64 (*.f64 v 1/2) (/.f64 (sqrt.f64 -3) (sqrt.f64 1/8)))) (-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 -3)) -11/24) v) (/.f64 (*.f64 (sqrt.f64 1/8) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))
1
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(*.f64 -3 (pow.f64 v 2))
(*.f64 -3 (*.f64 v v))
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)
(+.f64 1 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (*.f64 -3 (*.f64 v v)) 1)
(fma.f64 -3 (*.f64 v v) 1)

localize2.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
0.0ms
v
@inf
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
0.0ms
v
@-inf
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))

rewrite53.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
741×pow1_binary64
694×add-log-exp_binary64
693×log1p-expm1-u_binary64
693×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
116712
2196512
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/8 (sqrt.f64 1/8)) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (*.f64 1/8 (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))))

simplify84.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
559×fma-def_binary64
467×distribute-rgt-neg-in_binary64
425×fma-neg_binary64
377×distribute-lft-neg-in_binary64
349×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010160
122151
252133
3126133
4324133
51115133
62518133
73696133
85804133
97274133
Stop Event
1×node limit
Counts
31 → 24
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
Outputs
(sqrt.f64 1/8)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (neg.f64 (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (neg.f64 (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 v (*.f64 -5/2 v))
Compiler

Compiled 45 to 35 computations (22.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
v
@0
(*.f64 v (*.f64 -5/2 v))
0.0ms
v
@-inf
(*.f64 v (*.f64 -5/2 v))
0.0ms
v
@inf
(*.f64 v (*.f64 -5/2 v))

rewrite63.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
446×pow1_binary64
433×add-sqr-sqrt_binary64
423×*-un-lft-identity_binary64
414×add-log-exp_binary64
414×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11017
211357
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 v (*.f64 -5/2 v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 v (*.f64 v -5/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -5/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -5/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 v (*.f64 v -5/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (*.f64 v -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (*.f64 v -5/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v -5/2))))))))

simplify175.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
23 → 13
Calls
Call 1
Inputs
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (pow.f64 v 2))
Outputs
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))
(*.f64 -5/2 (pow.f64 v 2))
(*.f64 -5/2 (*.f64 v v))
(*.f64 v (*.f64 -5/2 v))

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1))
✓0.0b
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v))))
0.0b
(+.f64 (*.f64 v (*.f64 v -3)) 1)
0.2b
(*.f64 v (*.f64 v -3))
Compiler

Compiled 89 to 61 computations (31.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v))))
0.0ms
v
@inf
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v))))
0.0ms
v
@-inf
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v))))
0.0ms
v
@inf
(sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1))
0.0ms
v
@-inf
(sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1))

rewrite73.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
675×log-prod_binary64
503×prod-diff_binary64
350×pow2_binary64
310×fma-def_binary64
243×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01434
129931
2367531
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v))))
(sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) 1) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (*.f64 v v))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (*.f64 v v))) 3) (*.f64 2 (sqrt.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 (fma.f64 v (*.f64 v -3) 1) (pow.f64 (-.f64 1 (*.f64 v v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (*.f64 v v))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (*.f64 v v))) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 2) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) 1 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1))) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 2 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4)) (*.f64 (pow.f64 2 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4)) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1))) (cbrt.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4)) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 (*.f64 2 (fma.f64 v (*.f64 v -3) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) (cbrt.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v -3) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 v 4) 9 -1)) (sqrt.f64 (fma.f64 v (*.f64 v -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (pow.f64 v 6) -27 1)) (sqrt.f64 (-.f64 (fma.f64 (pow.f64 v 4) 9 1) (*.f64 v (*.f64 v -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 v (*.f64 v -3) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 v (*.f64 v -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) 1))))))

simplify74.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
834×fma-def_binary64
498×distribute-rgt-out_binary64
355×associate-+l+_binary64
337×associate-*l*_binary64
316×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0121826
1376794
21358721
36054670
Stop Event
1×node limit
Counts
88 → 109
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2)))) (*.f64 (+.f64 (*.f64 -27/16 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 6)))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2)))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (sqrt.f64 2))
(fma.f64 v (*.f64 v (*.f64 (sqrt.f64 2) -5/2)) (sqrt.f64 2))
(fma.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) -5/2) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (*.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8))))
(+.f64 (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (*.f64 3/8 (pow.f64 v 4))))
(+.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 4) 3/8))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 -3/2 (sqrt.f64 2)))) (+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -9/8 (sqrt.f64 2)) (*.f64 3/2 (sqrt.f64 2)))) (*.f64 (+.f64 (*.f64 -27/16 (sqrt.f64 2)) (*.f64 9/8 (sqrt.f64 2))) (pow.f64 v 6)))))
(+.f64 (sqrt.f64 2) (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (*.f64 (sqrt.f64 2) -9/16) (pow.f64 v 6)))))
(+.f64 (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) -5/2) (sqrt.f64 2)) (fma.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) 3/8) (*.f64 (sqrt.f64 2) (*.f64 -9/16 (pow.f64 v 6)))))
(+.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) 3/8) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (*.f64 v v) -5/2) (*.f64 (pow.f64 v 6) -9/16)))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (neg.f64 (sqrt.f64 -3))))
(+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))
(fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(-.f64 (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))
(fma.f64 v (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3))))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))))
(fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 -1/24 (sqrt.f64 -3)))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))))
(+.f64 (fma.f64 v (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) 11/24))
(+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (*.f64 v (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3)))))))))
(fma.f64 1/8 (/.f64 (/.f64 (sqrt.f64 2) v) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/8 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 v (sqrt.f64 -3))))))))
(+.f64 (/.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) v) (+.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (pow.f64 v 3))) (fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) v)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))))))
(+.f64 (fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) v) (+.f64 (/.f64 1/2 (sqrt.f64 -3)) (/.f64 -1/24 (sqrt.f64 -3)))) (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))))
(+.f64 (+.f64 (fma.f64 v (*.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (-.f64 v (pow.f64 v 3)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 v (sqrt.f64 -3))) 11/24)) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))
(*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 -1 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))))
(-.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (*.f64 v (*.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 2))))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))))
(fma.f64 -1 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v))))
(-.f64 (fma.f64 (neg.f64 v) (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v))
(-.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (+.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v) (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))))))
(+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -3)) (-.f64 (pow.f64 v 3) v)) (*.f64 v (*.f64 (/.f64 1/2 (sqrt.f64 -3)) (sqrt.f64 2)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v))
(+.f64 (*.f64 -1 (*.f64 v (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)))))
(fma.f64 -1 (*.f64 v (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (fma.f64 -1 (/.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3)) (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (neg.f64 (/.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 3)) (/.f64 (*.f64 1/2 (sqrt.f64 2)) (sqrt.f64 -3))) v)))))
(-.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 1/2 (*.f64 -1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) v)) (/.f64 (fma.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)) (*.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (pow.f64 v 3))) (*.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3))))))
(-.f64 (-.f64 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 2) (sqrt.f64 -3))) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) 11/24) v)) (fma.f64 v (fma.f64 (sqrt.f64 2) (sqrt.f64 -3) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)))) (/.f64 (fma.f64 1/24 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) (*.f64 -1/16 (/.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -3) 5)))) (pow.f64 v 3))))
(-.f64 (fma.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (sqrt.f64 -3)) (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 -3)) -11/24) v)) (fma.f64 v (*.f64 (sqrt.f64 2) (+.f64 (/.f64 -1/2 (sqrt.f64 -3)) (sqrt.f64 -3))) (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 1/24 (sqrt.f64 -3)))) (pow.f64 v 3))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 (*.f64 v v) -3/2))
(fma.f64 (*.f64 v v) -3/2 1)
(fma.f64 v (*.f64 v -3/2) 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (*.f64 -9/8 (pow.f64 v 4))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (*.f64 (pow.f64 v 4) -9/8)))
(+.f64 1 (fma.f64 (*.f64 v v) -3/2 (*.f64 (pow.f64 v 4) -9/8)))
(fma.f64 v (*.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 1))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 v 2)) (+.f64 (*.f64 -27/16 (pow.f64 v 6)) (*.f64 -9/8 (pow.f64 v 4)))))
(+.f64 1 (fma.f64 -3/2 (*.f64 v v) (fma.f64 -27/16 (pow.f64 v 6) (*.f64 (pow.f64 v 4) -9/8))))
(+.f64 (fma.f64 (*.f64 v v) -3/2 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 -27/16 (pow.f64 v 6))))
(+.f64 1 (fma.f64 v (*.f64 v -3/2) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 -27/16 (pow.f64 v 6)))))
(+.f64 (fma.f64 v (*.f64 v -3/2) 1) (fma.f64 (pow.f64 v 4) -9/8 (*.f64 -27/16 (pow.f64 v 6))))
(*.f64 v (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3)))
(+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 v (sqrt.f64 -3)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (-.f64 (+.f64 (*.f64 v (sqrt.f64 -3)) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 -1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))))))
(+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))) (fma.f64 v (sqrt.f64 -3) (/.f64 (/.f64 1/24 (sqrt.f64 -3)) (pow.f64 v 3)))))
(*.f64 -1 (*.f64 v (sqrt.f64 -3)))
(neg.f64 (*.f64 v (sqrt.f64 -3)))
(*.f64 v (neg.f64 (sqrt.f64 -3)))
(-.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (neg.f64 (*.f64 v (sqrt.f64 -3))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (/.f64 -1/2 (*.f64 v (sqrt.f64 -3))) (*.f64 v (sqrt.f64 -3)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (neg.f64 (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))))
(-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 v (sqrt.f64 -3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 v (sqrt.f64 -3)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5))))))
(-.f64 (fma.f64 -1 (*.f64 v (sqrt.f64 -3)) (/.f64 1/8 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (/.f64 1/2 (*.f64 v (sqrt.f64 -3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))))
(fma.f64 (neg.f64 v) (sqrt.f64 -3) (-.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -3) -3))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5)))) (/.f64 1/2 (*.f64 v (sqrt.f64 -3)))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -3) 5) (pow.f64 v 5))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/24 (sqrt.f64 -3)) (pow.f64 v 3)) (fma.f64 v (sqrt.f64 -3) (/.f64 1/2 (*.f64 v (sqrt.f64 -3))))) (/.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -3) 5)) (pow.f64 v 5)))

eval482.0ms (9%)

Compiler

Compiled 8749 to 6793 computations (22.4% saved)

prune65.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3742376
Fresh000
Picked011
Done134
Total3756381
Error
0b
Counts
381 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
▶0.6b
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
✓0.7b
(sqrt.f64 1/8)
✓0.0b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v)))) 4)
▶0.4b
(*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
✓0.4b
(*.f64 1/4 (*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 2)))
Compiler

Compiled 73 to 59 computations (19.2% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
v
@0
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
0.0ms
v
@-inf
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
0.0ms
v
@inf
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))

rewrite54.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
741×pow1_binary64
694×add-log-exp_binary64
693×log1p-expm1-u_binary64
693×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
116712
2196612
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (*.f64 v (neg.f64 v)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (*.f64 v v) (pow.f64 v 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/8 (pow.f64 (-.f64 1 (*.f64 v v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/8 (sqrt.f64 1/8)) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 v v)) 3) (*.f64 1/8 (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))))))))

simplify224.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
559×fma-def_binary64
467×distribute-rgt-neg-in_binary64
425×fma-neg_binary64
377×distribute-lft-neg-in_binary64
349×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010160
122151
252133
3126133
4324133
51115133
62518133
73696133
85804133
97274133
Stop Event
1×node limit
Counts
31 → 24
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
Outputs
(sqrt.f64 1/8)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (neg.f64 (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8)))
(neg.f64 (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (neg.f64 (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (*.f64 v (neg.f64 v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (sqrt.f64 1/8))) (sqrt.f64 1/8))
(fma.f64 -1 (*.f64 (sqrt.f64 1/8) (*.f64 v v)) (sqrt.f64 1/8))
(-.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (*.f64 v v)))
(*.f64 (sqrt.f64 1/8) (fma.f64 (neg.f64 v) v 1))
(*.f64 (sqrt.f64 1/8) (fma.f64 v (neg.f64 v) 1))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 v v) -5/2)
Compiler

Compiled 32 to 20 computations (37.5% saved)

eval14.0ms (0.3%)

Compiler

Compiled 484 to 368 computations (24% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New39140
Fresh000
Picked101
Done145
Total41546
Error
0b
Counts
46 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.7b
(sqrt.f64 1/8)
0.4b
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
✓0.0b
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
✓0.6b
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
✓0.0b
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v)))) 4)
Compiler

Compiled 60 to 48 computations (20% saved)

regimes28.0ms (0.5%)

Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
(*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 2)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v)))) 4)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) 4)
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
Outputs
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
Calls

5 calls:

8.0ms
v
6.0ms
(*.f64 v v)
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Results
ErrorSegmentsBranch
0.0b1v
0.0b1(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b1(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b1(*.f64 v v)
0.0b1(*.f64 v v)
Compiler

Compiled 223 to 161 computations (27.8% saved)

regimes27.0ms (0.5%)

Counts
13 → 1
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
(*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 2)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 v v) -3 1) 1/8)) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1)) (-.f64 1 (*.f64 v v)))) 4)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -3 1)) (-.f64 1 (*.f64 v v)))) 4)
Outputs
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
Calls

5 calls:

7.0ms
v
5.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
3.0ms
(*.f64 v v)
3.0ms
(*.f64 v v)
3.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Results
ErrorSegmentsBranch
0.0b1v
0.0b1(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b1(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b1(*.f64 v v)
0.0b1(*.f64 v v)
Compiler

Compiled 206 to 148 computations (28.2% saved)

regimes15.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
(*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 1/8))
(*.f64 (sqrt.f64 (*.f64 1 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 2)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 (*.f64 v v) -5/2) 1) (sqrt.f64 2)))
Outputs
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
Calls

3 calls:

7.0ms
v
3.0ms
(*.f64 v v)
2.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
0.4b1v
0.4b1(*.f64 v v)
0.4b1(*.f64 v v)
Compiler

Compiled 79 to 59 computations (25.3% saved)

regimes7.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
Outputs
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
Calls

2 calls:

4.0ms
v
2.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
0.6b1v
0.6b1(*.f64 v v)
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
Outputs
(sqrt.f64 1/8)
Calls

1 calls:

3.0ms
v
Results
ErrorSegmentsBranch
0.7b1v
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03079
15079
25679
36079
46279
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(sqrt.f64 1/8)
Outputs
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 (sqrt.f64 2) (*.f64 (fma.f64 v v -1) -1/4)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 v (*.f64 v -3)) 1) 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 v (*.f64 v -3))) 1/8)) (-.f64 1 (*.f64 v v)))
(*.f64 (+.f64 (*.f64 v (*.f64 -5/2 v)) 1) (sqrt.f64 1/8))
(*.f64 (+.f64 1 (*.f64 v (*.f64 v -5/2))) (sqrt.f64 1/8))
(*.f64 (sqrt.f64 1/8) (-.f64 1 (*.f64 v v)))
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 1/8))
(sqrt.f64 1/8)
Compiler

Compiled 58 to 46 computations (20.7% saved)

soundness208.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
748×fma-neg_binary64
738×div-sub_binary64
598×fma-def_binary64
488×associate-/l*_binary64
410×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01529
13729
28927
323827
471127
5168925
6291725
7520025
8754125
Stop Event
1×node limit
Compiler

Compiled 589 to 455 computations (22.8% saved)

end106.0ms (2%)

Compiler

Compiled 54 to 41 computations (24.1% saved)

Profiling

Loading profile data...