Details

Time bar (total: 4.4s)

analyze394.0ms (8.9%)

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
Compiler

Compiled 20 to 12 computations (40% saved)

sample1.2s (26.2%)

Results
1.1s8237×body64valid
62.0ms499×body64invalid
8.0ms19×body128valid

preprocess88.0ms (2%)

Algorithm
egg-herbie
Rules
905×fma-def_binary64
781×div-sub_binary64
532×associate-/l*_binary64
381×fma-neg_binary64
349×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039140
1122140
2243140
3398140
4872140
51687140
63097140
75715140
86905140
97957140
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)

simplify40.0ms (0.9%)

Algorithm
egg-herbie
Rules
881×fma-def_binary64
768×times-frac_binary64
756×fma-neg_binary64
545×cancel-sign-sub-inv_binary64
402×distribute-rgt-neg-in_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)))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
26.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
26.8b
(/.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))
0.3b
(fma.f64 d (neg.f64 a) (*.f64 b c))
26.2b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))

series20.0ms (0.5%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
2.0ms
d
@inf
(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)))

rewrite63.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
527×log-prod_binary64
411×exp-prod_binary64
341×pow-prod-down_binary64
286×prod-diff_binary64
274×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
122632
2290232
Stop Event
node limit
Counts
3 → 119
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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (hypot.f64 d c) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (hypot.f64 d c) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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)) (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))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 4)) (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))) (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))) (pow.f64 (hypot.f64 d c) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (cbrt.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) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (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 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (cbrt.f64 (pow.f64 (hypot.f64 d c) 4))) (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) 2) (hypot.f64 d c)) (/.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 d a) (*.f64 b c)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 d c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.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 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (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 pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3) (pow.f64 (hypot.f64 d c) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (fma.f64 d a (*.f64 b c))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))))) (sqrt.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 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 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 d a (*.f64 b c)) 3) (pow.f64 (hypot.f64 d c) 6)))))) (#(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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c))) (hypot.f64 d c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 d c) 2) (fma.f64 d a (*.f64 b c)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))) 1) 1))))) (#(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 +.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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 d a (*.f64 b c)))) 2)) (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)) (+.f64 (pow.f64 (*.f64 d a) 2) (-.f64 (pow.f64 (*.f64 b c) 2) (*.f64 (*.f64 d a) (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 d a) 2) (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)) 2) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (fma.f64 d a (*.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 d a (*.f64 b c)))) 2)) (cbrt.f64 (log.f64 (fma.f64 d a (*.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 d a (*.f64 b c))))) (sqrt.f64 (log.f64 (fma.f64 d a (*.f64 b c)))))))) (#(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 (+.f64 1 (expm1.f64 (*.f64 b c))) (pow.f64 (exp.f64 a) d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) d) (+.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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 d a (*.f64 b c)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 d a (*.f64 b c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 d a (*.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 d a (*.f64 b c))) 1) 1))))) (#(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 +.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 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 d c) 2))) 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 (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 (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 (hypot.f64 d c) (hypot.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 c 4) (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 (hypot.f64 d c) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 d c) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.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 pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (hypot.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (hypot.f64 d c))))) (sqrt.f64 (*.f64 2 (log.f64 (hypot.f64 d c)))))))) (#(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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 d d))) (pow.f64 (exp.f64 c) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 c) c) (+.f64 1 (expm1.f64 (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 d c) 6))))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 d c)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 d c))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 d c) 2)))))))

simplify65.0ms (1.5%)

Algorithm
egg-herbie
Rules
687×associate-*l/_binary64
636×fma-neg_binary64
622×associate-*l*_binary64
569×cancel-sign-sub-inv_binary64
472×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0501992
11461806
24771767
323491728
Stop Event
node limit
Counts
239 → 152
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)))
(+.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 (*.f64 d d) (pow.f64 c 3)) b)) (*.f64 (/.f64 d c) (/.f64 a c)))
(-.f64 (/.f64 b c) (fma.f64 (/.f64 d c) (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 3)) (*.f64 d d))))
(-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.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))))
(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 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)) (-.f64 (-.f64 (/.f64 b c) (*.f64 (/.f64 (*.f64 d d) (pow.f64 c 3)) b)) (*.f64 (/.f64 d c) (/.f64 a c))))
(fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (-.f64 (/.f64 b c) (fma.f64 (/.f64 d c) (/.f64 a c) (*.f64 (/.f64 b (pow.f64 c 3)) (*.f64 d d)))))
(-.f64 (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (/.f64 b c)) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.f64 b 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 (*.f64 b c) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.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 a (*.f64 c c)) (pow.f64 d 3)))
(+.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (-.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 c (/.f64 (pow.f64 d 3) (*.f64 c a)))) (/.f64 a d))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) (+.f64 b (/.f64 (*.f64 c a) 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 a (*.f64 c c)) (pow.f64 d 3)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (*.f64 b (pow.f64 c 3)) (pow.f64 d 4)))))
(+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (-.f64 (-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d)) (/.f64 b (/.f64 (pow.f64 d 4) (pow.f64 c 3)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 a d))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) (+.f64 b (/.f64 (*.f64 c a) d))) (+.f64 (*.f64 (/.f64 b (pow.f64 d 4)) (pow.f64 c 3)) (/.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 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.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 a (*.f64 c c)) (pow.f64 d 3)))
(+.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (-.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (/.f64 a d)))
(-.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 c (/.f64 (pow.f64 d 3) (*.f64 c a)))) (/.f64 a d))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) (+.f64 b (/.f64 (*.f64 c a) 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 a (*.f64 c c)) (pow.f64 d 3)) (+.f64 (fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 b c) (*.f64 d d))) (neg.f64 (/.f64 (*.f64 b (pow.f64 c 3)) (pow.f64 d 4)))))
(+.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (-.f64 (-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d)) (/.f64 b (/.f64 (pow.f64 d 4) (pow.f64 c 3)))))
(-.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 d 3) c)) a (*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 a d))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) (+.f64 b (/.f64 (*.f64 c a) d))) (+.f64 (*.f64 (/.f64 b (pow.f64 d 4)) (pow.f64 c 3)) (/.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 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
(+.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)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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))))
(/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
(+.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)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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))))
(/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
(+.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)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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))))
(/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
(+.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)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.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 c (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) b)) (/.f64 (neg.f64 (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 d (/.f64 (fma.f64 c c (*.f64 d d)) a)))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 a (/.f64 (fma.f64 d d (*.f64 c c)) d)))
(/.f64 (*.f64 c b) (+.f64 (pow.f64 d 2) (pow.f64 c 2)))
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(fma.f64 c b (neg.f64 (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(fma.f64 c b (neg.f64 (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(*.f64 c b)
(*.f64 b c)
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(fma.f64 c b (neg.f64 (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(fma.f64 c b (neg.f64 (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(+.f64 (*.f64 c b) (*.f64 -1 (*.f64 a d)))
(fma.f64 c b (neg.f64 (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.f64 c c))
(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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.f64 c c))
(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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.f64 c c))
(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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.f64 c c))
(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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.f64 c c))
(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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.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))
(fma.f64 d d (*.f64 c c))

prune180.0ms (4.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1448152
Fresh000
Picked011
Done000
Total1449153
Error
1.5b
Counts
153 → 9
Alt Table
StatusErrorProgram
36.5b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
33.0b
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
40.4b
(*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))
35.8b
(/.f64 b c)
32.7b
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
38.5b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
26.8b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
34.0b
(-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.f64 b c)))))
53.8b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2)))))
Compiler

Compiled 3011 to 1070 computations (64.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 d (/.f64 d c))
2.8b
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
3.8b
(/.f64 b (*.f64 d (/.f64 d c)))

series19.0ms (0.4%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
2.0ms
b
@inf
(/.f64 b (*.f64 d (/.f64 d c)))
1.0ms
b
@0
(/.f64 b (*.f64 d (/.f64 d c)))
1.0ms
c
@inf
(/.f64 b (*.f64 d (/.f64 d c)))
1.0ms
d
@0
(/.f64 b (*.f64 d (/.f64 d c)))

rewrite89.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
723×log-prod_binary64
355×fma-def_binary64
340×pow2_binary64
288×log-div_binary64
238×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
123333
2382333
Stop Event
node limit
Counts
3 → 246
Calls
Call 1
Inputs
(/.f64 b (*.f64 d (/.f64 d c)))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(*.f64 d (/.f64 d c))
Outputs
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c d) d))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 (/.f64 c d) d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 (/.f64 c d) d))) 2) (cbrt.f64 (*.f64 b (/.f64 (/.f64 c d) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 c))) (/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 (*.f64 d d)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c d) (/.f64 b d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (/.f64 b (/.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 c d) d) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b d) (/.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (/.f64 d (/.f64 c d))))))) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 (/.f64 c d) d))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 (neg.f64 a) d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (*.f64 (/.f64 (neg.f64 a) d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (fma.f64 (neg.f64 (/.f64 1 d)) a (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (fma.f64 (/.f64 (neg.f64 a) d) 1 (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 b (/.f64 (/.f64 c d) d)) (/.f64 a d)) (+.f64 (/.f64 (neg.f64 a) d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 a) d) (*.f64 b (/.f64 (/.f64 c d) d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify65.0ms (1.5%)

Algorithm
egg-herbie
Rules
813×distribute-neg-frac_binary64
762×times-frac_binary64
623×associate-/l/_binary64
434×unswap-sqr_binary64
387×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141236
1281200
2541200
31181200
43271200
511631200
650801200
Stop Event
node limit
Counts
354 → 254
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)))
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
(/.f64 (pow.f64 d 2) c)
Outputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 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 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 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 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 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 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c d) (/.f64 b d))
(*.f64 b (/.f64 c (*.f64 d d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
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(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))
(/.f64 (pow.f64 d 2) c)
(/.f64 (*.f64 d d) c)
(/.f64 d (/.f64 c d))
(*.f64 (/.f64 d c) d)
(*.f64 d (/.f64 d c))

prune548.0ms (12.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2495254
Fresh347
Picked101
Done011
Total25310263
Error
1.2b
Counts
263 → 10
Alt Table
StatusErrorProgram
26.8b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
33.3b
(fma.f64 (/.f64 (/.f64 b d) d) c (/.f64 (neg.f64 a) d))
36.5b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
33.0b
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
32.0b
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
52.7b
(/.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) (/.f64 d (/.f64 c d))) d)
38.5b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
34.0b
(-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.f64 b c)))))
59.0b
(fma.f64 (+.f64 (/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 c))) (sqrt.f64 (/.f64 a d))) (-.f64 (/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 c))) (sqrt.f64 (/.f64 a d))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d)))
32.0b
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
Compiler

Compiled 5449 to 1332 computations (75.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.9b
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))

series12.0ms (0.3%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
c
@-inf
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
2.0ms
d
@inf
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
1.0ms
b
@0
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
1.0ms
d
@-inf
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
1.0ms
c
@0
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))

rewrite83.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
544×log-prod_binary64
320×pow-prod-down_binary64
314×prod-diff_binary64
265×pow2_binary64
187×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
121614
2311714
Stop Event
node limit
Counts
1 → 186
Calls
Call 1
Inputs
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
Outputs
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d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) 2) (*.f64 (cbrt.f64 (/.f64 b d)) (/.f64 c d)) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 b d)) (*.f64 (sqrt.f64 (/.f64 b d)) (/.f64 c d)) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 b d) (/.f64 c d))) 2) (cbrt.f64 (*.f64 (/.f64 b d) (/.f64 c d))) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 b d) (/.f64 c d))) (sqrt.f64 (*.f64 (/.f64 b d) (/.f64 c d))) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (/.f64 b d) c) (/.f64 1 d) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (/.f64 b d) (pow.f64 (cbrt.f64 (/.f64 c d)) 2)) (cbrt.f64 (/.f64 c d)) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (/.f64 b d) (sqrt.f64 (/.f64 c d))) (sqrt.f64 (/.f64 c d)) (neg.f64 (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d))))) (fma.f64 (neg.f64 (/.f64 a (sqrt.f64 d))) (/.f64 -1 (sqrt.f64 d)) (*.f64 (/.f64 a (sqrt.f64 d)) (/.f64 -1 (sqrt.f64 d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) 2) (cbrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) (sqrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b d) (/.f64 c d)) 3) (pow.f64 (/.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 (/.f64 b d) (/.f64 c d)) 2) (-.f64 (pow.f64 (/.f64 a d) 2) (*.f64 (*.f64 (/.f64 b d) (/.f64 c d)) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b d) (/.f64 c d)) 2) (pow.f64 (/.f64 a d) 2)) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (/.f64 b d) (/.f64 c d))) (exp.f64 (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (*.f64 (/.f64 b d) (/.f64 c d))) (+.f64 1 (expm1.f64 (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 a d)) (exp.f64 (*.f64 (/.f64 b d) (/.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 a d))) (exp.f64 (*.f64 (/.f64 b d) (/.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 b d) (/.f64 c d))) (+.f64 1 (expm1.f64 (/.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))))))))

simplify53.0ms (1.2%)

Algorithm
egg-herbie
Rules
789×times-frac_binary64
783×distribute-neg-frac_binary64
602×associate-/l/_binary64
434×unswap-sqr_binary64
429×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013708
127672
253672
3115672
4322672
51174672
65143672
Stop Event
node limit
Counts
234 → 192
Calls
Call 1
Inputs
(*.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 -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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d))
(/.f64 c (/.f64 d (/.f64 b d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 b d) 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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d))
(/.f64 c (/.f64 d (/.f64 b d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 b d) 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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
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(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
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(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 c (*.f64 (/.f64 d b) d))
(/.f64 c (/.f64 d (/.f64 b d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 b d) d))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
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(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(+.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))
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(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
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(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
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(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 c (/.f64 (*.f64 d d) b))
(*.f64 (/.f64 c d) (/.f64 b d))
(/.f64 c (*.f64 (/.f64 d b) d))
(/.f64 c (/.f64 d (/.f64 b d)))
(*.f64 c (/.f64 b (*.f64 d d)))
(*.f64 c (/.f64 (/.f64 b d) 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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(+.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
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(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(/.f64 c (/.f64 d (/.f64 b d)))
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(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
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(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
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(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
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(/.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
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(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
(-.f64 (/.f64 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
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(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(fma.f64 -1 (/.f64 a d) (/.f64 c (/.f64 (*.f64 d d) b)))
(-.f64 (*.f64 (/.f64 c d) (/.f64 b d)) (/.f64 a d))
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(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
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(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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
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(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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.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 c (*.f64 (/.f64 d b) d)) (/.f64 a d))
(-.f64 (/.f64 c (/.f64 d (/.f64 b d))) (/.f64 a d))
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d))
(-.f64 (*.f64 c (/.f64 (/.f64 b d) d)) (/.f64 a d))

prune237.0ms (5.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1902192
Fresh268
Picked101
Done011
Total1939202
Error
1.2b
Counts
202 → 9
Alt Table
StatusErrorProgram
36.5b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
33.0b
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
32.0b
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
52.7b
(/.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) (/.f64 d (/.f64 c d))) d)
38.5b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
26.8b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
34.0b
(-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.f64 b c)))))
32.0b
(+.f64 (fma.f64 (*.f64 (/.f64 b d) c) (/.f64 1 d) (neg.f64 (*.f64 (/.f64 a d) -1))) (fma.f64 (/.f64 a d) -1 (*.f64 (/.f64 a d) -1)))
32.4b
(+.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (neg.f64 (*.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d)) (pow.f64 (cbrt.f64 a) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d))) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d)) (pow.f64 (cbrt.f64 a) 2))))
Compiler

Compiled 7553 to 2748 computations (63.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.7b
(pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1)
1.1b
(/.f64 (/.f64 d c) (/.f64 b d))
2.8b
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))

series14.0ms (0.3%)

Counts
3 → 120
Calls

30 calls:

TimeVariablePointExpression
1.0ms
d
@0
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
1.0ms
a
@0
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
1.0ms
b
@-inf
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
1.0ms
c
@-inf
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
1.0ms
b
@0
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))

rewrite95.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
798×log-prod_binary64
308×fma-def_binary64
297×log-div_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
127536
2424636
Stop Event
node limit
Counts
3 → 269
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
(/.f64 (/.f64 d c) (/.f64 b d))
(pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1)
Outputs
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simplify105.0ms (2.4%)

Algorithm
egg-herbie
Rules
619×distribute-neg-frac_binary64
606×associate-/l*_binary64
551×associate-/r/_binary64
434×unswap-sqr_binary64
419×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141428
1301392
2621392
31351392
43861392
514471392
648951392
773351392
Stop Event
node limit
Counts
389 → 276
Calls
Call 1
Inputs
(/.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 -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 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.f64 (pow.f64 d 2) (*.f64 c b))
(/.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))
Outputs
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
(fma.f64 -1 (/.f64 a d) (/.f64 (*.f64 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.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 c b) (*.f64 d d)))
(-.f64 (*.f64 (/.f64 c (*.f64 d d)) b) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (*.f64 d d))) (/.f64 a d))
(-.f64 (/.f64 (*.f64 c b) (*.f64 d d)) (/.f64 a d))
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 b (*.f64 d d))) (/.f64 a d))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(+.f64 (*.f64 -1 (/.f64 a d)) (/.f64 (*.f64 c b) (pow.f64 d 2)))
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(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))
(/.f64 (*.f64 c b) (pow.f64 d 2))
(/.f64 (*.f64 c b) (*.f64 d d))
(*.f64 (/.f64 c (*.f64 d d)) b)
(*.f64 b (/.f64 c (*.f64 d d)))
(/.f64 b (*.f64 d (/.f64 d c)))
(*.f64 c (/.f64 b (*.f64 d d)))

prune705.0ms (16%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2751276
Fresh167
Picked011
Done011
Total2769285
Error
1.2b
Counts
285 → 9
Alt Table
StatusErrorProgram
31.8b
(-.f64 (pow.f64 (*.f64 d (*.f64 (/.f64 1 c) (/.f64 d b))) -1) (/.f64 a d))
34.0b
(-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.f64 b c)))))
36.5b
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
33.0b
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
32.0b
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
52.7b
(/.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) (/.f64 d (/.f64 c d))) d)
38.5b
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
26.8b
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
32.4b
(+.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (neg.f64 (*.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d)) (pow.f64 (cbrt.f64 a) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d))) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d)) (pow.f64 (cbrt.f64 a) 2))))
Compiler

Compiled 5875 to 1523 computations (74.1% saved)

regimes244.0ms (5.5%)

Accuracy

Total -55.7b remaining (-674.2%)

Threshold costs -55.7b (-674.2%)

Counts
18 → 4
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 d (*.f64 (/.f64 1 c) (/.f64 d b))) -1) (/.f64 a d))
(+.f64 (fma.f64 (*.f64 (/.f64 b d) c) (/.f64 1 d) (neg.f64 (*.f64 (/.f64 a d) -1))) (fma.f64 (/.f64 a d) -1 (*.f64 (/.f64 a d) -1)))
(+.f64 (fma.f64 (/.f64 b d) (/.f64 c d) (neg.f64 (*.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d)) (pow.f64 (cbrt.f64 a) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d))) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 (cbrt.f64 a) (/.f64 1 d)) (pow.f64 (cbrt.f64 a) 2))))
(fma.f64 (/.f64 (/.f64 b d) d) c (/.f64 (neg.f64 a) d))
(-.f64 (pow.f64 (/.f64 (/.f64 d c) (/.f64 b d)) -1) (/.f64 a d))
(/.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) (/.f64 d (/.f64 c d))) d)
(fma.f64 (+.f64 (/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 c))) (sqrt.f64 (/.f64 a d))) (-.f64 (/.f64 (sqrt.f64 b) (/.f64 d (sqrt.f64 c))) (sqrt.f64 (/.f64 a d))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 a d))) (pow.f64 (cbrt.f64 (/.f64 a d)) 2) (/.f64 a d)))
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
(*.f64 (/.f64 1 (hypot.f64 d c)) (/.f64 (fma.f64 d a (*.f64 b c)) (hypot.f64 d c)))
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
(*.f64 (fma.f64 d a (*.f64 b c)) (pow.f64 (hypot.f64 d c) -2))
(/.f64 b c)
(-.f64 (/.f64 b (*.f64 d (/.f64 d c))) (/.f64 a d))
(*.f64 d (/.f64 (neg.f64 a) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 b c) (*.f64 (/.f64 d (*.f64 c c)) (+.f64 a (*.f64 d (/.f64 b c)))))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (/.f64 (+.f64 (pow.f64 c 6) (pow.f64 d 6)) (+.f64 (pow.f64 c 4) (-.f64 (pow.f64 d 4) (pow.f64 (*.f64 c d) 2)))))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
Results
51.0ms22.8ba
86.0ms16.6bb
36.0ms8.3bc
34.0ms12.0bd
29.0ms11.9b(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 360 to 158 computations (56.1% saved)

bsearch73.0ms (1.6%)

Algorithm
binary-search
Calls

3 calls:

25.0ms
c
24.0ms
c
23.0ms
c
Steps
ItersPointRange
4.266676636741629e+128
∈ [
4.266676636741629e+128
,
3.152936208390378e+137
]
2.3285382481799226e-70
∈ [
2.3285382481799226e-70
,
7.659958208227149e-67
]
-4.689258242427546e+36
∈ [
-4.689258242427546e+36
,
-4.892461901305834e+32
]
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03086
14386
25786
36886
47686
57986
68086
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c -4689258242427545783495655541323071488) (-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c))) (if (<=.f64 c 115803617768881408/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) (if (<=.f64 c 426667663674162896947077569838594242545440780694585128513787056733448887563574998892690964369608559618100309386159423805240377344) (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) (-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c))))))
Outputs
(if (<=.f64 c -4689258242427545783495655541323071488) (-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c))) (if (<=.f64 c 115803617768881408/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) (if (<=.f64 c 426667663674162896947077569838594242545440780694585128513787056733448887563574998892690964369608559618100309386159423805240377344) (/.f64 (fma.f64 d (neg.f64 a) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) (-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c))))))
(if (<=.f64 c -4689258242427545783495655541323071488) (-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c))) (if (<=.f64 c 452357881909693/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (fma.f64 (/.f64 b d) (/.f64 c d) (neg.f64 (/.f64 a d))) (if (<=.f64 c 426667663674162896947077569838594242545440780694585128513787056733448887563574998892690964369608559618100309386159423805240377344) (/.f64 (fma.f64 d (neg.f64 a) (*.f64 c b)) (fma.f64 c c (*.f64 d d))) (-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c))))))

end29.0ms (0.7%)

Stop Event
fuel
Compiler

Compiled 126 to 58 computations (54% saved)

Profiling

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