Details

Time bar (total: 9.9s)

analyze66.0ms (0.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
Compiler

Compiled 31 to 22 computations (29% saved)

sample1.8s (17.7%)

Results
1.8s8256×body256valid
1.0msbody256invalid

preprocess59.0ms (0.6%)

Algorithm
egg-herbie
Rules
709×associate-/l*_binary64
541×associate-*l*_binary64
493×associate-*r*_binary64
440×associate-*l/_binary64
326×associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03286
110286
236376
3185972
4787072
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t))))
Outputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 v v) 3)))) (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6)))) (-.f64 1 (*.f64 v v)))
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) (-.f64 1 (*.f64 v v)))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 (*.f64 (PI.f64) v) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 t t)))))) (-.f64 1 (*.f64 t t))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 t t))) (*.f64 (*.f64 v (PI.f64)) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 t t))))) (-.f64 1 (*.f64 t t)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 t) t)) (*.f64 v (PI.f64))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 (*.f64 -3 t) t) 2)))) (-.f64 1 (*.f64 t t)))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) -5 1) (PI.f64)) v) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 t t) -6)))) (-.f64 1 (*.f64 t t)))
(/.f64 (/.f64 (fma.f64 t (*.f64 t -5) 1) (PI.f64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 -6 t) t 2)) (*.f64 v (fma.f64 t (neg.f64 t) 1))))
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify40.0ms (0.4%)

Algorithm
egg-herbie
Rules
826×times-frac_binary64
719×distribute-neg-frac_binary64
592×fma-def_binary64
466×associate-/r*_binary64
411×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02043
15843
219038
394736
4512436
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
Outputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 (*.f64 v v) 3)))) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))) (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (PI.f64) (*.f64 t (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (-.f64 1 (*.f64 v v))))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))

eval1.0ms (0%)

Compiler

Compiled 54 to 35 computations (35.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 56 to 39 computations (30.4% saved)

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 (PI.f64) t)
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
Compiler

Compiled 125 to 71 computations (43.2% saved)

series22.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
v
@inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
3.0ms
t
@0
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
2.0ms
t
@0
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
1.0ms
v
@inf
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
1.0ms
v
@0
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))

rewrite142.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
429×fma-def_binary64
381×expm1-udef_binary64
378×log1p-udef_binary64
226×add-sqr-sqrt_binary64
216×*-un-lft-identity_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02077
145077
2618671
Stop Event
node limit
Counts
4 → 96
Calls
Call 1
Inputs
(*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(*.f64 (PI.f64) t)
(*.f64 5 (*.f64 v v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) (pow.f64 (*.f64 (PI.f64) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) t) 3) (pow.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)) 3/2) (pow.f64 (*.f64 (PI.f64) t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (neg.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 5 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (PI.f64) t)) (/.f64 5 (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) 2) (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 v v) -5 1)) (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1))) (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))) (sqrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (PI.f64) t)) (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 v v) -3 1)))) (fma.f64 v (neg.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -5 1)) (/.f64 (/.f64 1 (*.f64 (PI.f64) t)) (*.f64 (sqrt.f64 (*.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 v (*.f64 v 5) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 5) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 v (*.f64 v 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) 1)) (cbrt.f64 (fma.f64 v (*.f64 v 5) 1))) (cbrt.f64 (fma.f64 v (*.f64 v 5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) (sqrt.f64 (fma.f64 v (*.f64 v 5) 1)) -1)))))

simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
943×associate-/l*_binary64
448×associate-*l/_binary64
433×associate-*r/_binary64
421×associate-+l+_binary64
264×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02012825
16602786
229042702
Stop Event
node limit
Counts
168 → 150
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
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(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))
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(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -53/8 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -5/2 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -241/16 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -53/8 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64))))))
(-.f64 (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))) (/.f64 5/18 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))))))
(*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 5))) (+.f64 (*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))) (*.f64 -5/2 (/.f64 (+.f64 1/81 (*.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))) (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (pow.f64 v 7))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (-.f64 1 (*.f64 3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 v v)) (*.f64 (*.f64 t (PI.f64)) -3/2)))
(*.f64 (*.f64 t (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) -3/2) (*.f64 v v)) (sqrt.f64 2)))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (fma.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 -9/8 (*.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (pow.f64 v 4))))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 v (*.f64 t v)))) (*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 -9/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))))))
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(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 -5 (*.f64 (sqrt.f64 2) v)) (/.f64 (sqrt.f64 -1/3) (*.f64 t (PI.f64)))) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 -5/18 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3))) (/.f64 (+.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -5/2 (/.f64 (fma.f64 1/18 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) -1/3) 1/81) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (*.f64 -2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 7))) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 5)))
(-.f64 (-.f64 (*.f64 (/.f64 -5 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t v)) (PI.f64))) (sqrt.f64 -1/3)) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 -5/18 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (pow.f64 v 3))) (+.f64 (/.f64 (+.f64 (fma.f64 -5/2 (/.f64 (+.f64 1/81 (*.f64 -1/6 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 (+.f64 -2/27 (*.f64 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2) -2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3)))))) (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 7)) (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))) (/.f64 -2/9 (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -1/3))))))) (pow.f64 v 5))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v)))))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 t (PI.f64))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))
(*.f64 5 (pow.f64 v 2))
(*.f64 (*.f64 v v) 5)
(*.f64 v (*.f64 v 5))

localize84.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))
0.5b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
1.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))
6.1b
(*.f64 (*.f64 v v) t)
Compiler

Compiled 96 to 49 computations (49% saved)

series24.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
v
@inf
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))
3.0ms
v
@0
(*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))
2.0ms
t
@0
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
2.0ms
v
@inf
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
2.0ms
t
@-inf
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))

rewrite182.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
757×prod-diff_binary64
349×log1p-udef_binary64
348×expm1-udef_binary64
204×add-sqr-sqrt_binary64
195×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
140777
2549177
Stop Event
node limit
Counts
4 → 118
Calls
Call 1
Inputs
(*.f64 (*.f64 v v) t)
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (*.f64 v t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (*.f64 v t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (*.f64 v t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (*.f64 v t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 v (*.f64 v -5) 1) (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2) (fma.f64 v (*.f64 v -6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v -5) 1) 2) (fma.f64 v (*.f64 v -6) 2))) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify153.0ms (1.5%)

Algorithm
egg-herbie
Rules
700×associate-*l*_binary64
609×associate-/l*_binary64
481×associate-*r/_binary64
412×associate-*l/_binary64
370×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02442860
18142756
232542582
Stop Event
node limit
Counts
202 → 176
Calls
Call 1
Inputs
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(*.f64 (pow.f64 v 2) t)
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (*.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))))
(*.f64 -5 (*.f64 v (sqrt.f64 -1/6)))
(+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) v)))
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(*.f64 5 (*.f64 v (sqrt.f64 -1/6)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (*.f64 5 (*.f64 v (sqrt.f64 -1/6))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (sqrt.f64 -1/6)))) (pow.f64 v 5))))))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))
(+.f64 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))))
(*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) (/.f64 5/36 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))))
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))))
(*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 t (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
Outputs
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(*.f64 (pow.f64 v 2) t)
(*.f64 (*.f64 v v) t)
(*.f64 v (*.f64 v t))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))))
(+.f64 (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2)))))
(+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (*.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))))
(fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (*.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2)) (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))))
(fma.f64 (pow.f64 v 6) (fma.f64 1/2 (/.f64 (+.f64 27/2 (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) 1/2) -3/4)) (sqrt.f64 1/2)) (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) -5/2)) (+.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2)))))))
(fma.f64 (pow.f64 v 6) (+.f64 (/.f64 135/32 (sqrt.f64 1/2)) (/.f64 -135/16 (sqrt.f64 1/2))) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (*.f64 (pow.f64 v 4) (+.f64 (/.f64 27/16 (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))))
(*.f64 -5 (*.f64 v (sqrt.f64 -1/6)))
(*.f64 v (*.f64 -5 (sqrt.f64 -1/6)))
(*.f64 (sqrt.f64 -1/6) (*.f64 v -5))
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(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (/.f64 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2)))))
(*.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 v 2))) (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 t (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 v v) (neg.f64 (*.f64 t (PI.f64))))
(*.f64 v (*.f64 v (*.f64 t (neg.f64 (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))
(*.f64 (neg.f64 (*.f64 v v)) (*.f64 t (PI.f64)))
(*.f64 (*.f64 v v) (neg.f64 (*.f64 t (PI.f64))))
(*.f64 v (*.f64 v (*.f64 t (neg.f64 (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))) (*.f64 t (PI.f64)))
(*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))
(*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))

eval663.0ms (6.7%)

Compiler

Compiled 12698 to 8389 computations (33.9% saved)

prune107.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3179326
Fresh000
Picked101
Done011
Total31810328
Error
0b
Counts
328 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
1.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
0.3b
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
1.7b
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
0.7b
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
1.4b
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
1.4b
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 424 to 319 computations (24.8% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 t (-.f64 1 (*.f64 v v)))
0.4b
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))
0.4b
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
1.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 114 to 73 computations (36% saved)

series53.0ms (0.5%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
38.0ms
t
@0
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))
2.0ms
v
@inf
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))
1.0ms
v
@0
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))
1.0ms
t
@inf
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
1.0ms
t
@0
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))

rewrite121.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
368×expm1-udef_binary64
368×log1p-udef_binary64
216×prod-diff_binary64
216×add-sqr-sqrt_binary64
210×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02098
143598
2594798
Stop Event
node limit
Counts
4 → 184
Calls
Call 1
Inputs
(/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v))))
(*.f64 t (-.f64 1 (*.f64 v v)))
Outputs
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simplify201.0ms (2%)

Algorithm
egg-herbie
Rules
919×associate-/l*_binary64
456×cancel-sign-sub-inv_binary64
421×associate-/r*_binary64
342×fma-def_binary64
248×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03434026
111583847
245003746
Stop Event
node limit
Counts
268 → 263
Calls
Call 1
Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (sqrt.f64 1/2))) (*.f64 -5/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))))
(*.f64 -5 (*.f64 v (sqrt.f64 -1/6)))
(+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 5/36 (*.f64 v (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) v)))
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (+.f64 (*.f64 -5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (+.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 v (sqrt.f64 -1/6)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))) (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6))))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(*.f64 5 (*.f64 v (sqrt.f64 -1/6)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (*.f64 5 (*.f64 v (sqrt.f64 -1/6))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/36 (/.f64 1 (sqrt.f64 -1/6))) (sqrt.f64 -1/6)) v)) (+.f64 (*.f64 5 (*.f64 v (sqrt.f64 -1/6))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 1/36 (/.f64 1 (sqrt.f64 -1/6)))) (pow.f64 v 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (sqrt.f64 -1/6))) (*.f64 5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (sqrt.f64 -1/6)))) (pow.f64 v 5))))))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))
(+.f64 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))))
(*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) (/.f64 5/36 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))))
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))))
(*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(/.f64 (sqrt.f64 1/2) t)
(+.f64 (/.f64 (sqrt.f64 1/2) t) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) t)))))
(+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) t)) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) t)))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) t))))))
(+.f64 (/.f64 (sqrt.f64 1/2) t) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) t)) (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) t)))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))))) (+.f64 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) t))) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) t)) (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) t))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) t))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) t)))))))
(*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t)))
(-.f64 (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t)))) (/.f64 5/36 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) t))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) t))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t))) (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) t))))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (sqrt.f64 -1/6))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (sqrt.f64 -1/6)))))))
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) t)))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) t))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) t)))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 7) t))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) t))) (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) t)))))))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (sqrt.f64 -1/6))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (sqrt.f64 -1/6))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 7) (*.f64 t (sqrt.f64 -1/6))))))))
(*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) t)) (*.f64 5/36 (/.f64 1 (*.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) t)) (*.f64 5/36 (/.f64 1 (*.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (sqrt.f64 -1/6)))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) t))) (*.f64 1/9 (/.f64 1 (*.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 5))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) t)) (*.f64 5/36 (/.f64 1 (*.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (sqrt.f64 -1/6)))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) t)) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (sqrt.f64 -1/6)))))) (*.f64 1/9 (/.f64 1 (*.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (sqrt.f64 -1/6)))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) t))) (*.f64 1/9 (/.f64 1 (*.f64 t (sqrt.f64 -1/6))))) (pow.f64 v 5))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v t))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
t
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 -1 (*.f64 (pow.f64 v 2) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 -1 (*.f64 (pow.f64 v 2) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2))) (*.f64 15/4 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -5 (sqrt.f64 1/2)) (*.f64 3/4 (/.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (neg.f64 (/.f64 15/4 (sqrt.f64 1/2)))) (*.f64 (*.f64 v v) (fma.f64 -5 (sqrt.f64 1/2) (/.f64 3/4 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2))) (*.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (pow.f64 v 4) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 -15/4 (sqrt.f64 1/2))) (*.f64 v (*.f64 v (fma.f64 (sqrt.f64 1/2) -5 (/.f64 3/4 (sqrt.f64 1/2)))))))
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(-.f64 (-.f64 (*.f64 -5 (/.f64 (/.f64 (sqrt.f64 -1/6) v) t)) (/.f64 (fma.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) t)) (fma.f64 4 (/.f64 (sqrt.f64 -1/6) t) (/.f64 -1/9 (*.f64 (sqrt.f64 -1/6) t)))) (pow.f64 v 5))) (+.f64 (/.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/6) t) (/.f64 -5/36 (*.f64 (sqrt.f64 -1/6) t))) (pow.f64 v 3)) (/.f64 (+.f64 (fma.f64 4 (/.f64 (sqrt.f64 -1/6) t) (*.f64 (/.f64 -5/2 (*.f64 (sqrt.f64 -1/6) t)) (+.f64 (*.f64 -1/6 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2))) 1/162))) (fma.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (sqrt.f64 -1/6) t)) (/.f64 -1/9 (*.f64 (sqrt.f64 -1/6) t)))) (pow.f64 v 7))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) t)) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 -6 (*.f64 v v) 2))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))) (/.f64 (fma.f64 (*.f64 v v) -5 1) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 (-.f64 1 (pow.f64 v 2)) t)
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
t
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 -1 (*.f64 (pow.f64 v 2) t))
(neg.f64 (*.f64 (*.f64 v v) t))
(*.f64 (*.f64 v v) (neg.f64 t))
(*.f64 t (*.f64 v (neg.f64 v)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(*.f64 -1 (*.f64 (pow.f64 v 2) t))
(neg.f64 (*.f64 (*.f64 v v) t))
(*.f64 (*.f64 v v) (neg.f64 t))
(*.f64 t (*.f64 v (neg.f64 v)))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))
(+.f64 t (*.f64 -1 (*.f64 (pow.f64 v 2) t)))
(*.f64 t (-.f64 1 (*.f64 v v)))
(-.f64 t (*.f64 (*.f64 v v) t))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t (PI.f64))
0.5b
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
t
@0
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
1.0ms
t
@inf
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
0.0ms
t
@-inf
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
0.0ms
t
@inf
(*.f64 t (PI.f64))
0.0ms
t
@0
(*.f64 t (PI.f64))

rewrite236.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
754×pow1_binary64
701×add-log-exp_binary64
701×log1p-expm1-u_binary64
701×expm1-log1p-u_binary64
686×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114615
2186315
Stop Event
node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(*.f64 t (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1 t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 1 t) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 (/.f64 1 t) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 t) (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (PI.f64))))))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
51 → 51
Calls
Call 1
Inputs
Outputs

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t (PI.f64))
0.5b
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
1.0b
(/.f64 1 (sqrt.f64 2))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
t
@-inf
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
1.0ms
t
@0
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
1.0ms
t
@inf
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
900×pow1_binary64
837×add-log-exp_binary64
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
818×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
118813
2239013
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 t (PI.f64))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) 1) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) t) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (*.f64 t (PI.f64))) 2)) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (*.f64 t (PI.f64)))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (*.f64 t (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
13×associate-/r*_binary64
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09156
117156
232156
344156
446156
Stop Event
saturated
Counts
71 → 61
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
Outputs
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 t (PI.f64))
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
Compiler

Compiled 131 to 74 computations (43.5% saved)

series16.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
t
@0
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
2.0ms
v
@inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.0ms
t
@0
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
1.0ms
t
@-inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.0ms
t
@inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))

rewrite93.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
629×fma-def_binary64
394×expm1-udef_binary64
392×log1p-udef_binary64
236×fma-neg_binary64
233×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02169
146663
2638761
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
Outputs
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simplify116.0ms (1.2%)

Algorithm
egg-herbie
Rules
938×associate-/l*_binary64
449×associate-*l/_binary64
431×associate-*r/_binary64
420×associate-+l+_binary64
273×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02012681
16562594
228992510
Stop Event
node limit
Counts
113 → 116
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
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(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))
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(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))))
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(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
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(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/27 (pow.f64 (/.f64 -1/18 (sqrt.f64 -1/3)) 2)) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64)))))) (*.f64 4 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))))))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64))))))) (*.f64 5/18 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/3) (PI.f64)))))))))
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(*.f64 -5 (/.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (PI.f64))))))
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(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (pow.f64 v 2)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (+.f64 1 (*.f64 -3 (*.f64 v v)))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (sqrt.f64 (fma.f64 -3 (*.f64 v v) 1)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (*.f64 v v))))))
(*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 v v)))))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (fma.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))) (fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))) -9/8))))
(fma.f64 -3/2 (*.f64 (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 v v))) (*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 -9/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))))))
(+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (*.f64 v v))) (fma.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))) (fma.f64 -9/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 4))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (*.f64 v v)))) (fma.f64 -27/16 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (pow.f64 v 6))) (fma.f64 (sqrt.f64 2) (*.f64 t (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (*.f64 (PI.f64) (pow.f64 v 4))) -9/8)))))
(+.f64 (*.f64 (*.f64 t (PI.f64)) (+.f64 (*.f64 -3/2 (*.f64 (sqrt.f64 2) (*.f64 v v))) (*.f64 -9/8 (*.f64 (sqrt.f64 2) (pow.f64 v 4))))) (*.f64 (*.f64 t (PI.f64)) (+.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 2) -27/16) (pow.f64 v 6)))))
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))
(*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (*.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 t (/.f64 (sqrt.f64 -3) (PI.f64))))))
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v)))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))) (fma.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 t (/.f64 (sqrt.f64 -3) (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 2) -1/8) (/.f64 (pow.f64 v 3) (*.f64 (/.f64 t (sqrt.f64 -3)) (/.f64 (PI.f64) -3))))))
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v) (*.f64 (/.f64 -1/8 (pow.f64 v 3)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 -3 (sqrt.f64 -3)) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3)))) (fma.f64 1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (/.f64 (*.f64 t (PI.f64)) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (/.f64 t (/.f64 (pow.f64 (sqrt.f64 -3) 5) (PI.f64)))) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 2) v) (/.f64 t (/.f64 (sqrt.f64 -3) (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 2) -1/8) (/.f64 (pow.f64 v 3) (*.f64 (/.f64 t (sqrt.f64 -3)) (/.f64 (PI.f64) -3)))))))
(fma.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)) (fma.f64 1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (*.f64 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -3) 5)) t)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v) (*.f64 (/.f64 -1/8 (pow.f64 v 3)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 -3 (sqrt.f64 -3)) (*.f64 t (PI.f64))))))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64))))))
(neg.f64 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3))))))
(*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v))))
(*.f64 (sqrt.f64 2) (*.f64 t (neg.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3))))
(-.f64 (/.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v))))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v) -1/2) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))))))
(fma.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (/.f64 t (sqrt.f64 -3)) (/.f64 (PI.f64) -3))) 1/8 (-.f64 (/.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 3)) (*.f64 (/.f64 (PI.f64) (sqrt.f64 -3)) (/.f64 t -3))) 1/8 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) t) (/.f64 (PI.f64) (sqrt.f64 -3))) v) -1/2) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (*.f64 (PI.f64) (sqrt.f64 -3)) v)))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (sqrt.f64 -3) (PI.f64)))))) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 v (sqrt.f64 -3)))))))
(fma.f64 -1/16 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 v 5)) (/.f64 (*.f64 t (PI.f64)) (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 v (*.f64 t (*.f64 (PI.f64) (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 v (sqrt.f64 -3))))))
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(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))))
(*.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (pow.f64 v 2))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 -3 (*.f64 v v))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) t)) (/.f64 (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 -5 v) v)) (sqrt.f64 2)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (/.f64 1 (fma.f64 -3 (*.f64 v v) 1))))

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v))))
0.0b
(*.f64 t (-.f64 1 (*.f64 v v)))
0.3b
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
1.0b
(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))
Compiler

Compiled 100 to 63 computations (37% saved)

series8.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))
1.0ms
v
@inf
(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))
1.0ms
v
@-inf
(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))
1.0ms
v
@inf
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
1.0ms
v
@inf
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v))))

rewrite186.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
370×expm1-udef_binary64
370×log1p-udef_binary64
304×log-pow_binary64
216×add-sqr-sqrt_binary64
213×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02072
143572
2570772
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64))
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v))))
Outputs
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simplify76.0ms (0.8%)

Algorithm
egg-herbie
Rules
697×associate-/l*_binary64
612×associate-*l*_binary64
518×associate-*r/_binary64
457×associate-*l/_binary64
368×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02322813
17692696
230782604
Stop Event
node limit
Counts
199 → 204
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))
(-.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1/6) (*.f64 v (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 1/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))
(+.f64 (*.f64 (pow.f64 v 6) (-.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (+.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (+.f64 (*.f64 (pow.f64 v 4) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) (*.f64 3 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (*.f64 (pow.f64 v 2) (+.f64 (*.f64 -4 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))))))
(*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))) (/.f64 5/36 (*.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))))
(-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))) (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(-.f64 (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 7) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 5) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 5) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (pow.f64 v 7) (*.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (*.f64 t (PI.f64))))))))))) (+.f64 (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 7) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (+.f64 (*.f64 5/36 (/.f64 1 (*.f64 (pow.f64 v 3) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (*.f64 1/9 (/.f64 1 (*.f64 (pow.f64 v 5) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))))))
(*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 -5/2 (/.f64 (+.f64 (*.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2))) 1/162) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -5/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64))))) (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64))))) (*.f64 1/9 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 (sqrt.f64 -1/6) (*.f64 t (PI.f64)))) (*.f64 5/36 (/.f64 1 (*.f64 t (*.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 3))) (*.f64 -5 (/.f64 (sqrt.f64 -1/6) (*.f64 v (*.f64 t (PI.f64))))))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 1 (+.f64 (*.f64 -6 (pow.f64 v 2)) 2))))
(/.f64 1 t)
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) t)) (/.f64 1 t))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) t)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) t)) (/.f64 1 t)))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) t)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) t)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) t)) (/.f64 1 t))))
(/.f64 5 t)
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 2) t))) (*.f64 5 (/.f64 1 t)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 2) t))) (+.f64 (*.f64 5 (/.f64 1 t)) (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 4) t)))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 2) t))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 6) t))) (+.f64 (*.f64 5 (/.f64 1 t)) (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 4) t))))))
(/.f64 5 t)
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 2) t))) (*.f64 5 (/.f64 1 t)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 2) t))) (+.f64 (*.f64 5 (/.f64 1 t)) (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 4) t)))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 2) t))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 6) t))) (+.f64 (*.f64 5 (/.f64 1 t)) (*.f64 4 (/.f64 1 (*.f64 (pow.f64 v 4) t))))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
Outputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 3/4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(fma.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(fma.f64 3/4 (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 3/4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (*.f64 (sqrt.f64 1/2) (PI.f64))) (pow.f64 v 4)) (*.f64 3/4 (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))))
(+.f64 (fma.f64 3/4 (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 1/2)) (PI.f64)) (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (*.f64 (/.f64 (pow.f64 v 4) (PI.f64)) 1/2)))
(+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 6) (-.f64 27/2 (*.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
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(+.f64 (/.f64 4 (*.f64 (*.f64 v v) t)) (+.f64 (+.f64 (/.f64 5 t) (/.f64 4 (*.f64 (pow.f64 v 4) t))) (/.f64 4 (*.f64 (pow.f64 v 6) t))))
(+.f64 (+.f64 (/.f64 4 (*.f64 v (*.f64 v t))) (+.f64 (/.f64 5 t) (/.f64 (/.f64 4 t) (pow.f64 v 6)))) (/.f64 4 (*.f64 (pow.f64 v 4) t)))
(+.f64 (+.f64 (/.f64 5 t) (+.f64 (/.f64 4 (*.f64 (pow.f64 v 4) t)) (/.f64 4 (*.f64 v (*.f64 v t))))) (/.f64 4 (*.f64 (pow.f64 v 6) t)))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 t (-.f64 1 (pow.f64 v 2))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 t (-.f64 1 (*.f64 v v))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 t (-.f64 1 (*.f64 v v))))

eval1.2s (12%)

Compiler

Compiled 25664 to 17975 computations (30% saved)

prune251.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New7733776
Fresh224
Picked101
Done235
Total7788786
Error
0b
Counts
786 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
0.4b
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
1.1b
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
1.7b
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
1.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.4b
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
Compiler

Compiled 239 to 184 computations (23% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 v v) -5)
0.2b
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
0.2b
(*.f64 t (PI.f64))
0.4b
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 137 to 77 computations (43.8% saved)

series9.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
1.0ms
t
@inf
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
1.0ms
v
@0
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))
1.0ms
v
@inf
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))
1.0ms
v
@0
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))

rewrite246.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
888×log-prod_binary64
523×prod-diff_binary64
452×fma-def_binary64
295×expm1-udef_binary64
294×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01657
134755
2467255
Stop Event
node limit
Counts
3 → 105
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(*.f64 (*.f64 v v) -5)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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simplify99.0ms (1%)

Algorithm
egg-herbie
Rules
780×associate-*l/_binary64
528×associate-*r/_binary64
426×distribute-lft-out_binary64
412×associate-/l/_binary64
399×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0621423
11851399
26601385
328231300
460401236
578401236
Stop Event
node limit
Counts
165 → 133
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))
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(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (+.f64 1 (*.f64 -5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
(*.f64 -5 (pow.f64 v 2))
Outputs
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (pow.f64 v 2)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))
(neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))))
(*.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 (neg.f64 v) (PI.f64)))))
(*.f64 (*.f64 v v) (neg.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 v (neg.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))
(neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64)))))
(*.f64 (*.f64 t (*.f64 (PI.f64) (*.f64 v v))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 (neg.f64 v) (PI.f64)))))
(*.f64 (*.f64 v v) (neg.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 v (*.f64 v (neg.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(+.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (*.f64 -1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64))))))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (-.f64 1 (*.f64 v v)) (PI.f64))))
(*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (neg.f64 (fma.f64 v v -1)) (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))))
(fma.f64 (/.f64 -4 (sqrt.f64 2)) (/.f64 (/.f64 (*.f64 v v) t) (PI.f64)) (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 (/.f64 v (PI.f64)) t)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 (/.f64 (/.f64 -4 t) (sqrt.f64 2)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (*.f64 (/.f64 -4 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (pow.f64 v 3) v)) (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) t)) (PI.f64)) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (*.f64 (/.f64 (/.f64 -4 t) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 (pow.f64 v 6) (PI.f64))))))
(+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (*.f64 v (/.f64 v (PI.f64))) (+.f64 (/.f64 (pow.f64 v 6) (PI.f64)) (/.f64 (pow.f64 v 4) (PI.f64))))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64))) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (*.f64 v v) (+.f64 (pow.f64 v 4) (pow.f64 v 6)))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (/.f64 5 (PI.f64)) t) (sqrt.f64 2))
(/.f64 5 (*.f64 (PI.f64) (*.f64 (sqrt.f64 2) t)))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (/.f64 4 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 v v) (*.f64 t (PI.f64))))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 t (*.f64 (PI.f64) (*.f64 v v)))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (/.f64 (/.f64 4 (sqrt.f64 2)) (*.f64 t (*.f64 v (*.f64 v (PI.f64))))) (/.f64 (/.f64 (/.f64 5 (PI.f64)) t) (sqrt.f64 2)))
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(*.f64 -5 (pow.f64 v 2))
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(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))
(*.f64 -5 (pow.f64 v 2))
(*.f64 (*.f64 v v) -5)
(*.f64 (*.f64 -5 v) v)
(*.f64 v (*.f64 v -5))

localize33.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
Compiler

Compiled 23 to 18 computations (21.7% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
t
@0
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
0.0ms
t
@-inf
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
0.0ms
t
@inf
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))

rewrite66.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
945×pow1_binary64
879×add-log-exp_binary64
879×log1p-expm1-u_binary64
879×expm1-log1p-u_binary64
860×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118817
2239017
Stop Event
node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (PI.f64))
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 t (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 t (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) t) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (/.f64 t (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2) (/.f64 (*.f64 (PI.f64) t) (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 t (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1/2 1/4) (/.f64 (*.f64 (PI.f64) t) (pow.f64 1/2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 t) (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (neg.f64 t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 t (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) t)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1) (*.f64 (neg.f64 (PI.f64)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) -1) (*.f64 (PI.f64) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) -1) (*.f64 (neg.f64 (PI.f64)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (sqrt.f64 1/2))) (*.f64 (neg.f64 t) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 t)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 t) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) (/.f64 (pow.f64 t -2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 t -2) t) (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07120
110120
212120
Stop Event
saturated
Counts
92 → 81
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t (PI.f64))
0.3b
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
0.5b
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
0.0ms
t
@0
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
0.0ms
t
@inf
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
0.0ms
t
@inf
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
0.0ms
t
@-inf
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))

rewrite61.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
808×pow1_binary64
747×add-log-exp_binary64
747×log1p-expm1-u_binary64
747×expm1-log1p-u_binary64
730×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
118221
2211921
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 (*.f64 t (PI.f64)) 2))) (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (*.f64 t (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) (PI.f64)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 t (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t (PI.f64)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2)) (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2) (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 t (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (*.f64 t (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t (PI.f64)) -1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (*.f64 t (PI.f64)) 2))) -1) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 2) t) -1) (pow.f64 (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))))))))

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
45 → 45
Calls
Call 1
Inputs
Outputs

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
0.0ms
t
@inf
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
0.0ms
t
@-inf
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
882×pow1_binary64
818×add-log-exp_binary64
818×log1p-expm1-u_binary64
818×expm1-log1p-u_binary64
799×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118813
2233413
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 2) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 2)))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 2)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -1/2) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2)) (sqrt.f64 t)) (/.f64 (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 2)))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 2)) -2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) t))))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
13×associate-/r*_binary64
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09156
117156
232156
344156
446156
Stop Event
saturated
Counts
43 → 33
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
Outputs
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 t (PI.f64))
0.2b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
Compiler

Compiled 71 to 38 computations (46.5% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
1.0ms
v
@0
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
1.0ms
v
@inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
1.0ms
v
@-inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
1.0ms
t
@0
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))

rewrite330.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
866×prod-diff_binary64
316×fma-def_binary64
301×expm1-udef_binary64
299×log1p-udef_binary64
178×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631
135431
2487729
Stop Event
node limit
Counts
1 → 147
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1))))) (sqrt.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 t (*.f64 (PI.f64) (fma.f64 v (neg.f64 v) 1))))) (fma.f64 (neg.f64 (/.f64 (*.f64 v v) (fma.f64 v (neg.f64 v) 1))) (/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 5 (fma.f64 v (neg.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 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simplify109.0ms (1.1%)

Algorithm
egg-herbie
Rules
694×associate-/r/_binary64
463×div-sub_binary64
461×associate-/r*_binary64
419×distribute-lft-out_binary64
364×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054894
1173894
2635856
32991771
44540707
57693707
Stop Event
node limit
Counts
171 → 163
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
Outputs
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
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(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (neg.f64 (*.f64 (*.f64 t (PI.f64)) (fma.f64 v v -1)))))

eval379.0ms (3.8%)

Compiler

Compiled 21203 to 13903 computations (34.4% saved)

prune84.0ms (0.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New5276533
Fresh000
Picked011
Done167
Total52813541
Error
0b
Counts
541 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
0.4b
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
1.5b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
1.8b
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.1b
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
1.7b
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
1.3b
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
1.4b
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
1.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
1.7b
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
1.6b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 320 to 252 computations (21.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
Compiler

Compiled 23 to 18 computations (21.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
0.0ms
t
@-inf
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
0.0ms
t
@inf
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
983×pow1_binary64
915×add-log-exp_binary64
915×log1p-expm1-u_binary64
915×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
119310
2255310
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) 2) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 t -2)) (*.f64 (/.f64 1 (cbrt.f64 t)) (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -1/2) (*.f64 (pow.f64 t -1/2) (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 t) (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (PI.f64) t)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 t)) (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t -1/2) 1) (/.f64 (pow.f64 t -1/2) (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 1 t) (pow.f64 1/2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (PI.f64)) (/.f64 (/.f64 1 (cbrt.f64 t)) (pow.f64 1/2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t -1/2) (PI.f64)) (/.f64 (pow.f64 t -1/2) (pow.f64 1/2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) 1/2))) (/.f64 (/.f64 1 t) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) 1/2))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 t -1/2) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) 1/2))) (/.f64 (pow.f64 t -1/2) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)))) (/.f64 (/.f64 1 t) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 t -2)) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)))) (/.f64 (/.f64 1 (cbrt.f64 t)) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 t) 1) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 t) (neg.f64 (PI.f64))) (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) t)) 1) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) t)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (PI.f64) t)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 (PI.f64) (sqrt.f64 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 t) (/.f64 (neg.f64 (PI.f64)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 t -2) t) (pow.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07120
110120
212120
Stop Event
saturated
Counts
54 → 43
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

localize68.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
0.4b
(/.f64 (sqrt.f64 1/2) t)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/.f64 (sqrt.f64 1/2) t)
1.0ms
t
@-inf
(/.f64 (sqrt.f64 1/2) t)
0.0ms
t
@0
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
0.0ms
t
@inf
(/.f64 (sqrt.f64 1/2) t)
0.0ms
t
@inf
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))

rewrite82.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
840×pow1_binary64
783×add-log-exp_binary64
783×log1p-expm1-u_binary64
783×expm1-log1p-u_binary64
766×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
115216
2205516
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) t)
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)) (cbrt.f64 (/.f64 1/2 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 t t))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) 1) (/.f64 (pow.f64 1/2 1/4) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 1/2 1/4) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 1/2) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/2 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) t)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 t) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) t) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 t t))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) t) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (sqrt.f64 1/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) (PI.f64)) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) (PI.f64)) (/.f64 (pow.f64 1/2 1/4) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (/.f64 1 t) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (*.f64 t t))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 1 t) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 (sqrt.f64 1/2) t) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (*.f64 t t))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) t)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 1 t) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (sqrt.f64 1/2) t) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (*.f64 t t))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) t)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 1/2)) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) t) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) t) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07120
110120
212120
Stop Event
saturated
Counts
81 → 70
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
0.0ms
t
@inf
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
0.0ms
t
@-inf
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)

rewrite53.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
840×pow1_binary64
783×add-log-exp_binary64
783×log1p-expm1-u_binary64
783×expm1-log1p-u_binary64
766×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115210
2205510
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 2) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) (PI.f64)) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1/2) t) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 1/2 1/4) t) (/.f64 (pow.f64 1/2 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 (/.f64 1 (PI.f64)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 t)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 t)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07120
110120
212120
Stop Event
saturated
Counts
50 → 39
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
1.0b
(/.f64 (sqrt.f64 1/2) (PI.f64))
1.0b
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)
Compiler

Compiled 41 to 34 computations (17.1% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
t
@0
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
0.0ms
t
@inf
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
0.0ms
t
@-inf
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))

rewrite74.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
503×log-prod_binary64
458×prod-diff_binary64
395×fma-def_binary64
278×pow2_binary64
193×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
124517
2344617
Stop Event
node limit
Counts
2 → 169
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1)
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
Outputs
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(PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) (sqrt.f64 (-.f64 (/.f64 1/2 (pow.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> 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(sqrt.f64 1/2) (PI.f64)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3) (/.f64 (pow.f64 t -2) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 t -2) t) (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 t) (*.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 1 t) (*.f64 -1 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 1 (*.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 1 (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) (*.f64 (/.f64 1 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(sqrt.f64 1/2) (PI.f64)) -1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 t)) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 1 t)) (*.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 1 t)) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))))))

simplify41.0ms (0.4%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07120
110120
212120
Stop Event
saturated
Counts
181 → 170
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Outputs
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 t (PI.f64))
0.2b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
0.5b
(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
Compiler

Compiled 76 to 43 computations (43.4% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
0.0ms
t
@inf
(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
0.0ms
t
@0
(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
0.0ms
v
@inf
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
0.0ms
v
@0
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))

rewrite273.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
927×prod-diff_binary64
327×expm1-udef_binary64
325×log1p-udef_binary64
194×add-sqr-sqrt_binary64
185×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01743
138641
2545241
Stop Event
node limit
Counts
2 → 224
Calls
Call 1
Inputs
(/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
Outputs
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(-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) 2) (-.f64 1 (*.f64 v v))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v)))) 2)) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v)))) 2)) (cbrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (cbrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))) (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) 2) (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (sqrt.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (-.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 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))) (-.f64 1 (pow.f64 v 4))) (+.f64 1 (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 v v)) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (neg.f64 (-.f64 1 (*.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (*.f64 v v) -5))) (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 v v) 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (*.f64 v v) -5)) (log.f64 (*.f64 (*.f64 t (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 1 (*.f64 v v))))) 1))))))

simplify91.0ms (0.9%)

Algorithm
egg-herbie
Rules
694×associate-/r/_binary64
466×div-sub_binary64
461×associate-/r*_binary64
419×distribute-lft-out_binary64
364×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0541014
11731014
2635976
32989891
44526827
57676827
Stop Event
node limit
Counts
260 → 242
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 5 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
(+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 4) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 2) (*.f64 t (PI.f64)))))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 v 6) (*.f64 t (PI.f64)))))) (*.f64 5 (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
Outputs
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64)))
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) t)) (/.f64 v (PI.f64))) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64)))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -4 (/.f64 (*.f64 v v) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))))
(fma.f64 -4 (*.f64 (/.f64 v (sqrt.f64 2)) (/.f64 v (*.f64 t (PI.f64)))) (fma.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) t) (PI.f64))))
(+.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64)) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) t)) (+.f64 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 (pow.f64 v 4) (PI.f64)))))
(+.f64 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 2) t)) (PI.f64)) (*.f64 (/.f64 -4 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 (*.f64 v v) (pow.f64 v 4))))
(fma.f64 -4 (*.f64 (/.f64 v (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))) (+.f64 v (pow.f64 v 3))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 v 2) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 6) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 v 4) (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))) (/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64)))))))
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(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 t (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 2) (fma.f64 v v -1)))))
(/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v)))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (sqrt.f64 2) (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (*.f64 (*.f64 t (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 2) (fma.f64 v v -1)))))

eval465.0ms (4.7%)

Compiler

Compiled 23038 to 14960 computations (35.1% saved)

prune123.0ms (1.2%)

Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New6507657
Fresh101
Picked101
Done11011
Total65317670
Error
0b
Counts
670 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
1.7b
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
0.4b
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
2.3b
(-.f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) t) (/.f64 1 t))
1.9b
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
1.8b
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
1.1b
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
1.7b
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
1.6b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
1.6b
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (+.f64 1 (*.f64 (*.f64 v v) -5)))
1.3b
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
1.4b
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
1.6b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))
1.7b
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
2.2b
(+.f64 (*.f64 (/.f64 1 t) (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 1 t) -1))
1.9b
(+.f64 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))
0.4b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
Compiler

Compiled 290 to 231 computations (20.3% saved)

regimes118.0ms (1.2%)

Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
(-.f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) t) (/.f64 1 t))
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
(+.f64 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 1 t) -1))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (+.f64 1 (*.f64 (*.f64 v v) -5)))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
Outputs
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
Calls

6 calls:

33.0ms
(*.f64 (PI.f64) t)
17.0ms
t
14.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
13.0ms
v
12.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
0.3b1v
0.3b1t
0.3b1(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.3b1(*.f64 v v)
0.3b1(*.f64 v v)
0.3b1(*.f64 (PI.f64) t)
Compiler

Compiled 510 to 331 computations (35.1% saved)

regimes84.0ms (0.8%)

Counts
26 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
(-.f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) t) (/.f64 1 t))
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
(+.f64 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 1 t) -1))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (+.f64 1 (*.f64 (*.f64 v v) -5)))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 t (-.f64 1 (*.f64 v v)))) (/.f64 (pow.f64 (fma.f64 v (*.f64 v -6) 2) -1/2) (PI.f64)))
(*.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (/.f64 1 (*.f64 (PI.f64) (*.f64 t (-.f64 1 (*.f64 v v))))))
Outputs
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
Calls

6 calls:

16.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
15.0ms
v
15.0ms
t
14.0ms
(*.f64 (PI.f64) t)
7.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
0.4b1v
0.4b1t
0.4b1(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.4b1(*.f64 v v)
0.4b1(*.f64 v v)
0.4b1(*.f64 (PI.f64) t)
Compiler

Compiled 484 to 314 computations (35.1% saved)

regimes98.0ms (1%)

Counts
23 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
(-.f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) t) (/.f64 1 t))
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
(+.f64 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 1 t) -1))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (+.f64 1 (*.f64 (*.f64 v v) -5)))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 v v) -3))))) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 t (PI.f64)) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 v v) -3)))))
Outputs
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
Calls

5 calls:

25.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
23.0ms
t
14.0ms
(*.f64 (PI.f64) t)
12.0ms
(*.f64 v v)
12.0ms
v
Results
ErrorSegmentsBranch
0.4b1v
0.4b1t
0.4b1(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.4b1(*.f64 v v)
0.4b1(*.f64 (PI.f64) t)
Compiler

Compiled 404 to 264 computations (34.7% saved)

regimes33.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 t (PI.f64)))
(/.f64 1 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))))
(/.f64 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1) t)
(-.f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) t) (/.f64 1 t))
(*.f64 (/.f64 1 t) (-.f64 (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64))) 1))
(+.f64 (/.f64 1 t) (*.f64 (/.f64 1 t) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) -1)))
(+.f64 (*.f64 (/.f64 1 t) (+.f64 1 (/.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 (/.f64 1 t) -1))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (/.f64 t (sqrt.f64 1/2)) (PI.f64)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))) (+.f64 1 (*.f64 (*.f64 v v) -5)))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 t (PI.f64))) (-.f64 1 (*.f64 v v))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 (*.f64 t (PI.f64)) (pow.f64 2 -1/2)) (-.f64 1 (*.f64 v v))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 v v))) (*.f64 (+.f64 1 (*.f64 (*.f64 v v) -5)) (/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (/.f64 1 (/.f64 (pow.f64 2 -1/2) (*.f64 t (PI.f64)))) (-.f64 1 (*.f64 v v))))
Outputs
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
Calls

3 calls:

11.0ms
t
10.0ms
v
5.0ms
(*.f64 v v)
Results
ErrorSegmentsBranch
1.1b1v
1.1b1t
1.1b1(*.f64 v v)
Compiler

Compiled 281 to 186 computations (33.8% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(*.f64 (/.f64 1 t) (/.f64 (sqrt.f64 1/2) (PI.f64)))
Outputs
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
Calls

2 calls:

6.0ms
v
5.0ms
t
Results
ErrorSegmentsBranch
1.3b1v
1.3b1t
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.2b remaining (-11.7%)

Threshold costs -0.2b (-11.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) t)
(/.f64 (sqrt.f64 1/2) (*.f64 t (PI.f64)))
Outputs
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
Calls

2 calls:

4.0ms
v
4.0ms
t
Results
ErrorSegmentsBranch
1.7b1v
1.7b1t
Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
distribute-rgt-neg-in_binary64
cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051154
186154
2115154
3127154
4134154
5135154
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
Outputs
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 t (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 (*.f64 v v) t))))
(/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2))) (*.f64 (PI.f64) (-.f64 t (*.f64 t (*.f64 v v)))))
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 -3 (*.f64 v v))))))))
(/.f64 (+.f64 1 (*.f64 -5 (*.f64 v v))) (*.f64 (-.f64 1 (*.f64 v v)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 v v) -3)))))))
(/.f64 (/.f64 1 (*.f64 (PI.f64) (sqrt.f64 2))) t)
(/.f64 (/.f64 1 t) (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (/.f64 (sqrt.f64 1/2) t) (PI.f64))
Compiler

Compiled 112 to 85 computations (24.1% saved)

soundness133.0ms (1.3%)

Algorithm
egg-herbie
Rules
826×times-frac_binary64
719×distribute-neg-frac_binary64
592×fma-def_binary64
466×associate-/r*_binary64
411×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02043
15843
219038
394736
4512436
Stop Event
node limit
Compiler

Compiled 979 to 681 computations (30.4% saved)

end84.0ms (0.8%)

Compiler

Compiled 102 to 68 computations (33.3% saved)

Profiling

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