Details

Time bar (total: 4.9s)

analyze1.4s (28.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
9.7%90.1%0.2%12
23.4%76.4%0.2%13
24.8%75%0.2%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample1.2s (24.2%)

Results
1.1s8256×body128valid
92.0ms510×body128invalid

preprocess39.0ms (0.8%)

Algorithm
egg-herbie
Rules
905×fma-def_binary64
532×associate-/l*_binary64
381×fma-neg_binary64
305×div-sub_binary64
300×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039140
1122140
2243140
3398140
4872140
51687140
63097140
044
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 d c) (*.f64 a b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c)))
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 d (neg.f64 b) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c a (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (fma.f64 a a (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (fma.f64 d d (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 a a)))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 a a (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 b b (*.f64 d d)))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 b b (*.f64 d d)))
(/.f64 (-.f64 (*.f64 d c) (*.f64 a b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 c d) (*.f64 b a)) (fma.f64 c c (*.f64 b b)))
(/.f64 (fma.f64 c d (*.f64 b (neg.f64 a))) (fma.f64 b b (*.f64 c c)))
(/.f64 (fma.f64 b (neg.f64 a) (*.f64 c d)) (fma.f64 b b (*.f64 c c)))
(/.f64 (fma.f64 c d (*.f64 a (neg.f64 b))) (fma.f64 b b (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 c c (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify33.0ms (0.7%)

Algorithm
egg-herbie
Rules
832×fma-def_binary64
768×times-frac_binary64
756×fma-neg_binary64
281×associate-/l*_binary64
228×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01220
12520
25120
38220
416620
529720
648820
773820
8119920
9180020
10276920
11492820
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
29.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
29.2b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
Compiler

Compiled 69 to 35 computations (49.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 c c (*.f64 d d))
0.2b
(fma.f64 d (neg.f64 a) (*.f64 b c))
28.6b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))

series20.0ms (0.4%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
3.0ms
c
@0
(fma.f64 d (neg.f64 a) (*.f64 b c))
1.0ms
b
@0
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
1.0ms
a
@0
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
1.0ms
d
@0
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
1.0ms
a
@inf
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))

rewrite56.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
527×log-prod_binary64
286×prod-diff_binary64
190×expm1-udef_binary64
190×log1p-udef_binary64
164×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
122632
2290232
Stop Event
node limit
Counts
3 → 94
Calls
Call 1
Inputs
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
(fma.f64 d (neg.f64 a) (*.f64 b c))
(fma.f64 c c (*.f64 d d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 d a (*.f64 b c)) (/.f64 1 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (*.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (*.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 2)) (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) 1) (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (/.f64 (fma.f64 d a (*.f64 b c)) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2)) (cbrt.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule 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(hypot.f64 d c) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (fma.f64 d a (*.f64 b c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b c) (*.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d a) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d a) 1) (*.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c)))) (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 d a (*.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 d a (*.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (cbrt.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (sqrt.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 d a) 3) (pow.f64 (*.f64 b c) 3)) (fma.f64 (*.f64 d a) (*.f64 d a) (-.f64 (pow.f64 (*.f64 b c) 2) (*.f64 (*.f64 d a) (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 d a) (*.f64 d a)) (pow.f64 (*.f64 b c) 2)) (-.f64 (*.f64 d a) (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 d a (*.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b c)) (exp.f64 (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b c))) (exp.f64 (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 d a)) (+.f64 1 (expm1.f64 (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 d a (*.f64 b c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c c) 1) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 d c) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 d d) 3)) (fma.f64 (*.f64 c c) (*.f64 c c) (-.f64 (pow.f64 d 4) (*.f64 (*.f64 c c) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (pow.f64 d 4)) (-.f64 (*.f64 c c) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 d c) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 d) d) (exp.f64 (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 d d))) (exp.f64 (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 c c)) (+.f64 1 (expm1.f64 (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) 1))))))

simplify57.0ms (1.2%)

Algorithm
egg-herbie
Rules
636×fma-neg_binary64
569×cancel-sign-sub-inv_binary64
386×associate-/l/_binary64
275×times-frac_binary64
210×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0501992
11461806
24771767
323491728
Stop Event
node limit
Counts
214 → 127
Calls
Call 1
Inputs
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(*.f64 c b)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 c b)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 c b)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 c b)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 c b)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(*.f64 c b)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
Outputs
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 b c))
(-.f64 (/.f64 b c) (*.f64 (/.f64 d c) (/.f64 a c)))
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
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(*.f64 d d)
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(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
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(fma.f64 c c (*.f64 d d))
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(fma.f64 c c (*.f64 d d))

prune134.0ms (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1198127
Fresh000
Picked101
Done000
Total1208128
Error
2.6b
Counts
128 → 8
Alt Table
StatusErrorProgram
29.7b
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
40.8b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
34.1b
(-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))
45.2b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (*.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (/.f64 1 (pow.f64 (hypot.f64 d c) 2))))
34.9b
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
40.6b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d))))
36.3b
(/.f64 (neg.f64 a) d)
44.8b
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (fma.f64 d a (*.f64 b c))) -1)
Compiler

Compiled 2578 to 926 computations (64.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (hypot.f64 d c) 2)
0.5b
(/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
0.8b
(-.f64 (*.f64 d a) (*.f64 b c))
28.7b
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))

series30.0ms (0.6%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
4.0ms
c
@0
(/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
3.0ms
b
@0
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
2.0ms
d
@inf
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
1.0ms
d
@inf
(/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
1.0ms
c
@inf
(/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))

rewrite74.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
253×expm1-udef_binary64
253×log1p-udef_binary64
161×add-sqr-sqrt_binary64
157×pow1_binary64
155×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01550
132746
2425946
Stop Event
node limit
Counts
4 → 163
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
(-.f64 (*.f64 d a) (*.f64 b c))
(/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2)))
(pow.f64 (hypot.f64 d c) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 4))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1) (pow.f64 (hypot.f64 d c) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 d c) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 c c) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 d c) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 d c) (neg.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) (*.f64 (cbrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 d c)) (*.f64 (sqrt.f64 (hypot.f64 d c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 d c) (sqrt.f64 (hypot.f64 d c))) (sqrt.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 d c) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) (cbrt.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 d c) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 d c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 d c) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3)) (+.f64 0 (+.f64 (pow.f64 (hypot.f64 d c) 4) (*.f64 0 (pow.f64 (hypot.f64 d c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 d d) 3) (pow.f64 (*.f64 c c) 3)) (+.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (hypot.f64 d c) 4)) (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (-.f64 (*.f64 d d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 d c) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d d (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) 1))))))

simplify64.0ms (1.3%)

Algorithm
egg-herbie
Rules
819×fma-def_binary64
550×associate-/l*_binary64
506×associate-/r*_binary64
130×+-commutative_binary64
123×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01833007
15872583
221712493
Stop Event
node limit
Counts
307 → 224
Calls
Call 1
Inputs
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(*.f64 -1 (*.f64 c b))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 -1 (*.f64 c b))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 -1 (*.f64 c b))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 -1 (*.f64 c b))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 -1 (*.f64 c b))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(*.f64 -1 (*.f64 c b))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(+.f64 (*.f64 a d) (*.f64 -1 (*.f64 c b)))
(/.f64 -1 (pow.f64 c 2))
(-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (/.f64 1 (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (*.f64 -1 (/.f64 (pow.f64 d 4) (pow.f64 c 6)))) (/.f64 1 (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (+.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 8)) (*.f64 -1 (/.f64 (pow.f64 d 4) (pow.f64 c 6))))) (/.f64 1 (pow.f64 c 2)))
(/.f64 -1 (pow.f64 d 2))
(-.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (/.f64 1 (pow.f64 d 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 2) (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6)))) (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4)))))) (pow.f64 d 8))))) (/.f64 1 (pow.f64 d 2)))
(/.f64 -1 (pow.f64 d 2))
(-.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (/.f64 1 (pow.f64 d 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))) (pow.f64 d 6))) (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 c 2) (+.f64 (pow.f64 c 4) (*.f64 -1 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4))))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 c 6)) (*.f64 1/8 (pow.f64 c 6)))) (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 1/4 (pow.f64 c 4)))))) (pow.f64 d 8))))) (/.f64 1 (pow.f64 d 2)))
(/.f64 -1 (pow.f64 d 2))
(-.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (/.f64 1 (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (*.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 d 6)))) (/.f64 1 (pow.f64 d 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 d 4)) (+.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 8)) (*.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 d 6))))) (/.f64 1 (pow.f64 d 2)))
(/.f64 -1 (pow.f64 c 2))
(-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (/.f64 1 (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6)))) (/.f64 1 (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2)) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6)))))) (pow.f64 c 8))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6))))) (/.f64 1 (pow.f64 c 2)))
(/.f64 -1 (pow.f64 c 2))
(-.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (/.f64 1 (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6)))) (/.f64 1 (pow.f64 c 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 d 2)) (*.f64 -1 (+.f64 (*.f64 -1/8 (pow.f64 d 6)) (*.f64 1/8 (pow.f64 d 6)))))) (pow.f64 c 8))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/4 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 d 4)) (pow.f64 c 6))))) (/.f64 1 (pow.f64 c 2)))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 (pow.f64 d 8) (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 c 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 c 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 c 6))))) (*.f64 1/16 (/.f64 1 (pow.f64 c 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(pow.f64 d 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 (pow.f64 c 8) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(pow.f64 c 2)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
Outputs
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 b c))
(-.f64 (/.f64 b c) (*.f64 (/.f64 a c) (/.f64 d c)))
(-.f64 (/.f64 b c) (*.f64 (/.f64 a (*.f64 c c)) d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)))
(-.f64 (-.f64 (/.f64 b c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))) (*.f64 (/.f64 a c) (/.f64 d c)))
(-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(+.f64 (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (-.f64 (-.f64 (/.f64 b c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))) (*.f64 (/.f64 a c) (/.f64 d c))))
(fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d))))))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 (/.f64 b d) (/.f64 c d))) (/.f64 a d))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))))
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 (/.f64 b d) (/.f64 c d))) (/.f64 a d))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))))
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 a d))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) d))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) d))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) d))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
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(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))) (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (+.f64 (*.f64 d d) (+.f64 (*.f64 c c) (fma.f64 -1/4 (/.f64 (pow.f64 c 4) (*.f64 d d)) (fma.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (*.f64 1/4 (/.f64 (pow.f64 c 4) (*.f64 d d))))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 d d (+.f64 (fma.f64 c c 0) (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))))))
(fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4)) (fma.f64 c c (fma.f64 d d (*.f64 -1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 4))))))
(pow.f64 d 2)
(*.f64 d d)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (*.f64 (pow.f64 c 8) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 d 6))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 6))))) (*.f64 1/64 (/.f64 1 (pow.f64 d 6)))))) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)) (/.f64 1/64 (pow.f64 d 6)))) (+.f64 (*.f64 c c) (*.f64 d d)))
(fma.f64 (pow.f64 c 8) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (-.f64 (/.f64 1/64 (pow.f64 d 6)) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2)))) (fma.f64 c c (*.f64 d d)))
(fma.f64 (pow.f64 c 8) (-.f64 (*.f64 (/.f64 1 (pow.f64 d 6)) 5/64) (+.f64 (/.f64 1/16 (pow.f64 d 6)) (pow.f64 (/.f64 -1/8 (pow.f64 d 3)) 2))) (fma.f64 c c (*.f64 d d)))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (pow.f64 d 2) (pow.f64 c 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 4))) (+.f64 (pow.f64 d 2) (+.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))) (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 2))))))))
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))

prune154.0ms (3.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2204224
Fresh437
Picked101
Done000
Total2257232
Error
0.9b
Counts
232 → 7
Alt Table
StatusErrorProgram
40.8b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
34.1b
(-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))
29.4b
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))
48.3b
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 2) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
31.0b
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
38.9b
(-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))))
40.6b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 5653 to 2570 computations (54.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (hypot.f64 d c))
0.3b
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2)
0.8b
(-.f64 (*.f64 d a) (*.f64 b c))
28.7b
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))

series14.0ms (0.3%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
d
@0
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2)
1.0ms
d
@inf
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2)
1.0ms
c
@inf
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2)
1.0ms
c
@0
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2)
1.0ms
d
@inf
(/.f64 1 (hypot.f64 d c))

rewrite60.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
265×expm1-udef_binary64
265×log1p-udef_binary64
166×add-sqr-sqrt_binary64
162×pow1_binary64
160×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01641
134033
2422633
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))
(pow.f64 (/.f64 1 (hypot.f64 d c)) 2)
(/.f64 1 (hypot.f64 d c))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) (*.f64 (pow.f64 (hypot.f64 d c) -2) (fma.f64 (neg.f64 c) b (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 d c) -2)) (*.f64 (*.f64 b (neg.f64 c)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 d a)) (*.f64 (pow.f64 (hypot.f64 d c) -2) (*.f64 b (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d a) 3) (pow.f64 (*.f64 b c) 3)) (pow.f64 (hypot.f64 d c) -2)) (+.f64 (pow.f64 (*.f64 d a) 2) (*.f64 (*.f64 b c) (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d a) 2) (pow.f64 (*.f64 b c) 2)) (pow.f64 (hypot.f64 d c) -2)) (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 d c) -2) (-.f64 (pow.f64 (*.f64 d a) 3) (pow.f64 (*.f64 b c) 3))) (+.f64 (pow.f64 (*.f64 d a) 2) (*.f64 (*.f64 b c) (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 d c) -2) (-.f64 (pow.f64 (*.f64 d a) 2) (pow.f64 (*.f64 b c) 2))) (fma.f64 d a (*.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 d c) -2)) (-.f64 (*.f64 d a) (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 d a) (*.f64 b c)) 3) (pow.f64 (pow.f64 (hypot.f64 d c) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 d c) -2) 3) (pow.f64 (-.f64 (*.f64 d a) (*.f64 b c)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (neg.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (*.f64 (/.f64 1 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4)) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4)) (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1/2) (*.f64 (pow.f64 (hypot.f64 d c) -1/2) (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) (pow.f64 (hypot.f64 d c) -1/2)) (pow.f64 (hypot.f64 d c) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (hypot.f64 d c))) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (hypot.f64 d c) (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (hypot.f64 d c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (hypot.f64 d c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 (hypot.f64 d c)) (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (hypot.f64 d c)) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 (hypot.f64 d c))) (neg.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (hypot.f64 d c)) -1) (neg.f64 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 d c) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) -2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 d c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (hypot.f64 d c))) (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 d c) -1/2) (pow.f64 (hypot.f64 d c) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 d c)) -1) (pow.f64 (sqrt.f64 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 d c) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 d c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 d c) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 d c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 d c))) 1))))))

simplify65.0ms (1.3%)

Algorithm
egg-herbie
Rules
841×associate-/l*_binary64
669×associate-/r*_binary64
200×fma-def_binary64
145×associate-+r+_binary64
140×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002984
16172712
222802695
Stop Event
node limit
Counts
185 → 168
Calls
Call 1
Inputs
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 6) (pow.f64 c 8))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (pow.f64 d 4) (pow.f64 c 6)))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 8)) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))
(+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 8))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 8)) (+.f64 (/.f64 1 (pow.f64 d 2)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 6))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 6))))))))
(/.f64 1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (/.f64 1 (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 6) (pow.f64 d 8))) (+.f64 (/.f64 1 (pow.f64 d 2)) (/.f64 (pow.f64 c 4) (pow.f64 d 6)))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (/.f64 1 (pow.f64 c 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 8))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 8)))))))
(/.f64 1 (pow.f64 c 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (/.f64 1 (pow.f64 c 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (/.f64 1 (pow.f64 c 2)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 d 2) (pow.f64 c 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 6))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 8))) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 6))) (+.f64 (/.f64 1 (pow.f64 c 2)) (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 8)))))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (/.f64 1 c)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (/.f64 1 c) (*.f64 -5/16 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))))) (*.f64 1/8 (pow.f64 c 6))) (pow.f64 d 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4))) (pow.f64 d 5))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(+.f64 (*.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
Outputs
(/.f64 b c)
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (/.f64 b c))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 b c))
(-.f64 (/.f64 b c) (/.f64 a (/.f64 (*.f64 c c) d)))
(-.f64 (/.f64 b c) (*.f64 (/.f64 a (*.f64 c c)) d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c)))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)))
(-.f64 (-.f64 (/.f64 b c) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b))) (/.f64 a (/.f64 (*.f64 c c) d)))
(-.f64 (/.f64 b c) (+.f64 (*.f64 (/.f64 a (*.f64 c c)) d) (*.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a d) (pow.f64 c 2))) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 d 2) b) (pow.f64 c 3))) (/.f64 b c))))
(fma.f64 -1 (/.f64 a (/.f64 (*.f64 c c) d)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b)) (/.f64 b c)) (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 3)))))
(+.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 3) b))) (-.f64 (/.f64 b c) (/.f64 a (/.f64 (*.f64 c c) d))))
(+.f64 (-.f64 (/.f64 b c) (*.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) b)) (-.f64 (*.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) a) (*.f64 (/.f64 a (*.f64 c c)) d)))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d)))
(+.f64 (/.f64 b (/.f64 d (/.f64 c d))) (-.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (/.f64 a d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))))
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d)))
(+.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (-.f64 (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 a d)))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2))))
(+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)))
(+.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d)))
(+.f64 (/.f64 b (/.f64 d (/.f64 c d))) (-.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (/.f64 a d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3)) (+.f64 (*.f64 -1 (/.f64 a d)) (+.f64 (/.f64 (*.f64 c b) (pow.f64 d 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) b) (pow.f64 d 4))))))
(+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b)))))
(+.f64 (-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) b))) (-.f64 (/.f64 (*.f64 c (*.f64 c a)) (pow.f64 d 3)) (/.f64 a d)))
(+.f64 (*.f64 (/.f64 a (pow.f64 d 3)) (*.f64 c c)) (-.f64 (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))) (/.f64 a d)))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d)))
(-.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d)))
(-.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d)))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d)))
(-.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d)))
(*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2))))
(neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d)))
(/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d))
(+.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a d) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))))
(+.f64 (/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (/.f64 a (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d)))
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(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))) (/.f64 (fma.f64 -1/2 (*.f64 (pow.f64 c 6) -3/8) (*.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))) (/.f64 (fma.f64 -1/2 (*.f64 (pow.f64 c 6) -3/8) (*.f64 (pow.f64 c 6) 1/8)) (pow.f64 d 7)))
(/.f64 -1 d)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(-.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) 1/2) (/.f64 1 d))
(fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) 1/2 (/.f64 -1 d))
(fma.f64 (*.f64 (/.f64 c (pow.f64 d 3)) c) 1/2 (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))) (/.f64 1 d))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)) (/.f64 1 d))
(fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) 1/2 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(fma.f64 (*.f64 (/.f64 c (pow.f64 d 3)) c) 1/2 (fma.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8 (/.f64 -1 d)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 2) (+.f64 (*.f64 -1/4 (pow.f64 c 4)) (*.f64 -1/8 (pow.f64 c 4)))) (pow.f64 d 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (*.f64 -1/4 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))) (/.f64 1 d))
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c c) (*.f64 (pow.f64 c 4) -3/8)) (pow.f64 d 7)) (fma.f64 1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) -3/8)))) (/.f64 1 d))
(+.f64 (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 6) -3/8) (pow.f64 d 7)) (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) 1/2 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8))))) (/.f64 -1 d))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) -3/8) (fma.f64 (*.f64 (/.f64 c (pow.f64 d 3)) c) 1/2 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8)))) (fma.f64 1/8 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (/.f64 -1 d)))
(/.f64 1 d)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d))
(fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d))
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (/.f64 1 d))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 c 4) -3/8) (pow.f64 d 5)) (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d)))
(-.f64 (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (/.f64 1 d)) (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 d 5) -3/8)))
(fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d)))
(+.f64 (*.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (/.f64 1 d) (*.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5))))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 c c) (pow.f64 d 3)) (/.f64 1 d)) (/.f64 (*.f64 3/8 (pow.f64 c 4)) (pow.f64 d 5))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (/.f64 c (/.f64 (pow.f64 d 3) c)) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))))
(fma.f64 -5/16 (/.f64 (pow.f64 c 6) (pow.f64 d 7)) (fma.f64 -1/2 (*.f64 (/.f64 c (pow.f64 d 3)) c) (fma.f64 3/8 (/.f64 (pow.f64 c 4) (pow.f64 d 5)) (/.f64 1 d))))
(/.f64 1 c)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (/.f64 1 c))
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (/.f64 1 c))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (/.f64 1 c))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5)))))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))))) (*.f64 1/8 (pow.f64 d 6))) (pow.f64 c 7))) (+.f64 (/.f64 1 c) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4))) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 d d) (*.f64 (pow.f64 d 4) -3/8)) (*.f64 (pow.f64 d 6) 1/8)) (pow.f64 c 7)) (+.f64 (/.f64 1 c) (neg.f64 (/.f64 (*.f64 (pow.f64 d 4) -3/8) (pow.f64 c 5))))))
(fma.f64 -1/2 (/.f64 d (/.f64 (pow.f64 c 3) d)) (-.f64 (-.f64 (/.f64 1 c) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 (fma.f64 (pow.f64 d 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 d 6) -3/8))) (pow.f64 c 7))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 d (pow.f64 c 3)) d) (fma.f64 3/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (/.f64 1 c))) (/.f64 (fma.f64 (pow.f64 d 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 d 6) -3/8))) (pow.f64 c 7)))
(/.f64 -1 c)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (/.f64 1 c))
(-.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 c 3)) 1/2) (/.f64 1 c))
(fma.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) 1/2 (/.f64 -1 c))
(fma.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) 1/2 (/.f64 -1 c))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))) (/.f64 1 c))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8)) (/.f64 1 c))
(fma.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) 1/2 (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c)))
(fma.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) 1/2 (fma.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8 (/.f64 -1 c)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 d 2) (pow.f64 c 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 2) (+.f64 (*.f64 -1/8 (pow.f64 d 4)) (*.f64 -1/4 (pow.f64 d 4)))) (pow.f64 c 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))) (*.f64 -1/8 (/.f64 (pow.f64 d 4) (pow.f64 c 5))))))) (/.f64 1 c))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 d d) (pow.f64 c 3)) (fma.f64 -1/2 (/.f64 (*.f64 d d) (/.f64 (pow.f64 c 7) (*.f64 (pow.f64 d 4) -3/8))) (fma.f64 -1/4 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) (fma.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) (/.f64 (*.f64 (pow.f64 d 4) -1/8) (pow.f64 c 5)))))) (/.f64 1 c))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 d 6) -3/8) (pow.f64 c 7)) (+.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))) (fma.f64 (/.f64 d (/.f64 (pow.f64 c 3) d)) 1/2 (/.f64 -1 c)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 d 6) (pow.f64 c 7)) -3/8) (+.f64 (*.f64 (/.f64 (pow.f64 d 4) (pow.f64 c 5)) -3/8) (*.f64 1/8 (/.f64 (pow.f64 d 6) (pow.f64 c 7))))) (fma.f64 (*.f64 (/.f64 d (pow.f64 c 3)) d) 1/2 (/.f64 -1 c)))

prune168.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2261227
Fresh066
Picked011
Done000
Total2268234
Error
0.9b
Counts
234 → 8
Alt Table
StatusErrorProgram
38.9b
(-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))))
31.6b
(-.f64 (/.f64 b (/.f64 d (/.f64 c d))) (/.f64 a d))
40.8b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
34.1b
(-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))
29.4b
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))
48.3b
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 2) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
31.0b
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
40.6b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 6359 to 3275 computations (48.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.3b
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
2.5b
(*.f64 (/.f64 b d) (/.f64 c d))

series12.0ms (0.3%)

Counts
2 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
b
@0
(*.f64 (/.f64 b d) (/.f64 c d))
1.0ms
c
@inf
(*.f64 (/.f64 b d) (/.f64 c d))
1.0ms
d
@0
(*.f64 (/.f64 b d) (/.f64 c d))
1.0ms
b
@inf
(*.f64 (/.f64 b d) (/.f64 c d))
1.0ms
a
@0
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))

rewrite85.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
314×fma-def_binary64
216×expm1-udef_binary64
216×log1p-udef_binary64
200×fma-neg_binary64
144×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
122923
2362523
Stop Event
node limit
Counts
2 → 190
Calls
Call 1
Inputs
(*.f64 (/.f64 b d) (/.f64 c d))
(-.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))
Outputs
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simplify43.0ms (0.9%)

Algorithm
egg-herbie
Rules
789×times-frac_binary64
601×associate-/l/_binary64
401×associate-/l*_binary64
253×associate-*l*_binary64
204×associate-/r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131068
1271032
2531032
31151032
43201032
511731032
Stop Event
node limit
Counts
274 → 195
Calls
Call 1
Inputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
Outputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 b (/.f64 (*.f64 d d) c))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 b (/.f64 (*.f64 d d) c)) (/.f64 a d))

prune155.0ms (3.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1914195
Fresh156
Picked101
Done011
Total19310203
Error
0.9b
Counts
203 → 10
Alt Table
StatusErrorProgram
31.3b
(fma.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d)))
40.8b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
34.1b
(-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a))))
29.4b
(*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (*.f64 -1 (pow.f64 (/.f64 1 (hypot.f64 d c)) 2)))
48.3b
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 d a) (*.f64 b c))) 2) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))
38.9b
(-.f64 (/.f64 b c) (fma.f64 (/.f64 a c) (/.f64 d c) (/.f64 b (/.f64 (pow.f64 c 3) (*.f64 d d)))))
31.2b
(-.f64 (/.f64 (/.f64 b d) (/.f64 d c)) (/.f64 a d))
40.6b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d))))
46.0b
(fma.f64 (/.f64 b (sqrt.f64 d)) (/.f64 (/.f64 c d) (sqrt.f64 d)) (/.f64 (neg.f64 a) d))
45.1b
(fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b d) (/.f64 c d)) 2) (pow.f64 (/.f64 a d) 2)) (/.f64 1 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) (fma.f64 (neg.f64 (/.f64 1 d)) a (/.f64 a d)))
Compiler

Compiled 3954 to 974 computations (75.4% saved)

regimes720.0ms (14.8%)

Accuracy

Total -50.6b remaining (-377.4%)

Threshold costs -50.6b (-377.4%)

Counts
50 → 6
Compiler

Compiled 777 to 272 computations (65% saved)

bsearch109.0ms (2.2%)

Algorithm
binary-search
Calls

5 calls:

24.0ms
c
24.0ms
c
23.0ms
c
18.0ms
c
18.0ms
c
Steps
ItersPointRange
3.788409517828919e+20
∈ [
3.788409517828919e+20
,
5.863021988699278e+28
]
7.894016947758949e-59
∈ [
7.894016947758949e-59
,
2.0919651753247405e-49
]
1e-120
∈ [
4.876650582618203e-125
,
7.89490526768885e-112
]
-1e-158
∈ [
-8.463644006657093e-156
,
-3.4356935636458093e-159
]
-1.5821466196364514e+72
∈ [
-1.5821466196364514e+72
,
-5.1588821931093495e+69
]
Compiler

Compiled 99 to 60 computations (39.4% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
41×cancel-sign-sub-inv_binary64
40×neg-sub0_binary64
40×neg-mul-1_binary64
39×distribute-rgt-neg-in_binary64
34×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046132
173132
2111132
3153130
4191130
5236130
6300130
7362130
8423130
9449130
10450130
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 9140647148557905920/115792089237316195423570985008687907853269984665640564039457584007913129639936) (neg.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))))))))
Outputs
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 9140647148557905920/115792089237316195423570985008687907853269984665640564039457584007913129639936) (neg.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))))))))
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 2231603307753395/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (-.f64 (*.f64 d a) (*.f64 c b)) (neg.f64 (pow.f64 (hypot.f64 d c) -2))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))))))))
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 2231603307753395/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (pow.f64 (hypot.f64 d c) -2) (+.f64 (*.f64 c b) (*.f64 d (neg.f64 a)))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))))))))
(if (<=.f64 c -1582146619636451418235596121706046764634438778398257218226719882169286656) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))) (if (<=.f64 c -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) d))) (if (<=.f64 c 5814709794364855/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248) (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d) (if (<=.f64 c 2231603307753395/28269553036454149273332760011886696253239742350009903329945699220681916416) (*.f64 (pow.f64 (hypot.f64 d c) -2) (-.f64 (*.f64 c b) (*.f64 d a))) (if (<=.f64 c 378840951782891913216) (/.f64 (neg.f64 a) d) (-.f64 (/.f64 b c) (/.f64 d (*.f64 c (/.f64 c a)))))))))

end128.0ms (2.6%)

Stop Event
fuel
Compiler

Compiled 381 to 150 computations (60.6% saved)

Profiling

Loading profile data...