Details

Time bar (total: 3.1s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.3s (43.8%)

Results
1.3s8256×body256valid
Bogosity

preprocess18.0ms (0.6%)

Algorithm
egg-herbie
Rules
116×fma-def_binary64
43×distribute-rgt-in_binary64
39×distribute-lft-in_binary64
25×*-commutative_binary64
16×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02570
18870
218470
328970
434370
044
144
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
1
3
1
Call 2
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 b (+.f64 a d)))
(*.f64 c (+.f64 d (+.f64 a b)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 b (+.f64 c d)))
Symmetry

(sort b c d)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
28×fma-def_binary64
10×distribute-lft-in_binary64
10×distribute-rgt-in_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11910
24510
38510
410410
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 b d)))

eval1.0ms (0%)

Compiler

Compiled 25 to 13 computations (48% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
0.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series7.0ms (0.2%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
b
@-inf
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
a
@0
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
a
@inf
(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms
b
@inf
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite81.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
475×log-prod_binary64
462×fma-def_binary64
424×pow-prod-down_binary64
352×exp-prod_binary64
264×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
118510
2289710
Stop Event
node limit
Counts
1 → 64
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b a) (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (+.f64 b c)) 1) (*.f64 (*.f64 a d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) a) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) a) (+.f64 b (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (+.f64 b (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 b c) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a d (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b c) a (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d a (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (*.f64 (cbrt.f64 (+.f64 b c)) a) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (*.f64 (sqrt.f64 (+.f64 b c)) a) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (+.f64 b c)) 1 (*.f64 (*.f64 a d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b c)) 2)) (cbrt.f64 (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 b c)))))))

simplify55.0ms (1.8%)

Algorithm
egg-herbie
Rules
646×fma-def_binary64
373×cancel-sign-sub-inv_binary64
365×fma-neg_binary64
228×distribute-rgt-neg-in_binary64
221×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831244
14781223
213911218
344301218
Stop Event
node limit
Counts
112 → 90
Calls
Call 1
Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 d b) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))
(+.f64 (*.f64 b a) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 (*.f64 a (+.f64 b c)) 1) (*.f64 (*.f64 a d) 1))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) a) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) a) (+.f64 b (-.f64 c d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (+.f64 b (-.f64 c d)))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1) 1))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 b a (*.f64 (+.f64 c d) a))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (*.f64 (cbrt.f64 (+.f64 b c)) a) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b c)) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (+.f64 b c)) (*.f64 (sqrt.f64 (+.f64 b c)) a) (*.f64 a d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b c)) (*.f64 a d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (+.f64 b c)) 1 (*.f64 (*.f64 a d) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b c)) 2)) (cbrt.f64 (+.f64 b c)) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)) (*.f64 a d))
(fma.f64 (*.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 b c)))
Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 d b) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 b a) (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 (*.f64 a (+.f64 b c)) 1) (*.f64 (*.f64 a d) 1))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 c (+.f64 d b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 c (+.f64 d b))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 c (+.f64 d b))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 c (+.f64 d b))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c b)) 3) (pow.f64 (*.f64 d a) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 c b)) 2) (-.f64 (pow.f64 (*.f64 d a) 2) (*.f64 (*.f64 d a) (*.f64 a (+.f64 c b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c b)) 3) (pow.f64 (*.f64 d a) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 c b)) 2) (*.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 a (+.f64 c b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 c b)) 3) (pow.f64 (*.f64 d a) 3)) (fma.f64 (*.f64 d a) (*.f64 a (-.f64 (-.f64 d c) b)) (pow.f64 (*.f64 a (+.f64 c b)) 2)))
(*.f64 (/.f64 (pow.f64 a 3) (fma.f64 (*.f64 d a) (*.f64 a (-.f64 (-.f64 d c) b)) (pow.f64 (*.f64 a (+.f64 c b)) 2))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) a) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (/.f64 (fma.f64 d (-.f64 d (+.f64 c b)) (pow.f64 (+.f64 c b) 2)) a))
(*.f64 (/.f64 a (fma.f64 d (-.f64 d (+.f64 c b)) (pow.f64 (+.f64 c b) 2))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)))
(*.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (/.f64 a (fma.f64 d (-.f64 (-.f64 d c) b) (pow.f64 (+.f64 c b) 2))))
(*.f64 a (/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 (-.f64 d c) b) (pow.f64 (+.f64 c b) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) a) (+.f64 b (-.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (/.f64 (fma.f64 d (-.f64 d (+.f64 c b)) (pow.f64 (+.f64 c b) 2)) a))
(*.f64 (/.f64 a (fma.f64 d (-.f64 d (+.f64 c b)) (pow.f64 (+.f64 c b) 2))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)))
(*.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (/.f64 a (fma.f64 d (-.f64 (-.f64 d c) b) (pow.f64 (+.f64 c b) 2))))
(*.f64 a (/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (fma.f64 d (-.f64 (-.f64 d c) b) (pow.f64 (+.f64 c b) 2))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (+.f64 b (-.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2) 1/2)
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 a (+.f64 c (+.f64 d b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 c (+.f64 d b))))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 c (+.f64 d b))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 c (+.f64 d b)))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 c (+.f64 d b))))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(*.f64 a (+.f64 c (+.f64 d b)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 a (+.f64 c (+.f64 d b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(*.f64 a (+.f64 c (+.f64 d b)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(*.f64 a (+.f64 c (+.f64 d b)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 a (+.f64 c (+.f64 d b)))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1/3))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 3))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 2))
(*.f64 a (+.f64 c (+.f64 d b)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1) 1))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 b a (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (*.f64 (cbrt.f64 (+.f64 b c)) a) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 (+.f64 b c)) (*.f64 (sqrt.f64 (+.f64 b c)) a) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 a (+.f64 b c)) 1 (*.f64 (*.f64 a d) 1))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b c)) 2)) (cbrt.f64 (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))

eval16.0ms (0.5%)

Compiler

Compiled 1243 to 357 computations (71.3% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86490
Fresh000
Picked011
Done000
Total86591
Error
0b
Counts
91 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 d a (*.f64 a (+.f64 b c)))
0.0b
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
4.1b
(*.f64 d a)
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 52 to 33 computations (36.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (+.f64 c d))
Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(*.f64 a (+.f64 c d))
0.0ms
a
@0
(*.f64 a (+.f64 c d))
0.0ms
a
@-inf
(*.f64 a (+.f64 c d))
0.0ms
c
@inf
(*.f64 a (+.f64 c d))
0.0ms
d
@-inf
(*.f64 a (+.f64 c d))

rewrite52.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
779×pow1_binary64
725×add-log-exp_binary64
725×log1p-expm1-u_binary64
725×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219837
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 a (+.f64 c d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a c) 1) (*.f64 (*.f64 a d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a c) (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 c c (*.f64 d (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (-.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (*.f64 c c) (*.f64 d d))) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 a d))))))

simplify57.0ms (1.9%)

Algorithm
egg-herbie
Rules
542×associate-/r*_binary64
311×fma-def_binary64
256×fma-neg_binary64
238×div-sub_binary64
218×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080477
1236474
2953473
33966468
Stop Event
node limit
Counts
60 → 38
Calls
Call 1
Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a c))
(+.f64 (*.f64 (*.f64 a c) 1) (*.f64 (*.f64 a d) 1))
(-.f64 (+.f64 1 (*.f64 a (+.f64 c d))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a c) (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))
(/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
(/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 a (-.f64 (*.f64 c c) (*.f64 d d))) (-.f64 c d))
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))
(exp.f64 (log.f64 (*.f64 a (+.f64 c d))))
(fma.f64 a c (*.f64 a d))
(fma.f64 c a (*.f64 a d))
Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a d) (*.f64 a c))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 (*.f64 a c) 1) (*.f64 (*.f64 a d) 1))
(*.f64 (+.f64 c d) a)
(-.f64 (+.f64 1 (*.f64 a (+.f64 c d))) 1)
(*.f64 (+.f64 c d) a)
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a c) (*.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 d a) 3)) (fma.f64 (*.f64 c a) (*.f64 c a) (*.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 d a) 3)) (fma.f64 a (*.f64 c (*.f64 c a)) (*.f64 (*.f64 d a) (*.f64 a (-.f64 d c)))))
(/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (pow.f64 a 3)) (*.f64 a (+.f64 (*.f64 c (*.f64 c a)) (*.f64 (*.f64 d a) (-.f64 d c)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (pow.f64 a 3)) a) (*.f64 a (fma.f64 d (-.f64 d c) (*.f64 c c))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 a (/.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (+.f64 (pow.f64 c 3) (pow.f64 d 3))))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d (-.f64 d c)))) (+.f64 (pow.f64 c 3) (pow.f64 d 3)))
(*.f64 a (/.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 c c (*.f64 d (-.f64 d c)))))
(*.f64 a (/.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d c) (*.f64 c c))))
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 a (/.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (+.f64 (pow.f64 c 3) (pow.f64 d 3))))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d (-.f64 d c)))) (+.f64 (pow.f64 c 3) (pow.f64 d 3)))
(*.f64 a (/.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 c c (*.f64 d (-.f64 d c)))))
(*.f64 a (/.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d c) (*.f64 c c))))
(/.f64 (*.f64 a (-.f64 (*.f64 c c) (*.f64 d d))) (-.f64 c d))
(*.f64 (+.f64 c d) a)
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 (+.f64 c d) a)
(pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) 1/3)
(*.f64 (+.f64 c d) a)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 3)
(*.f64 (+.f64 c d) a)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 c d) a)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2))
(*.f64 (+.f64 c d) a)
(log.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3))
(*.f64 (+.f64 c d) a)
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)))
(*.f64 (+.f64 c d) a)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)))
(*.f64 (+.f64 c d) a)
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))
(*.f64 (+.f64 c d) a)
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))
(*.f64 (+.f64 c d) a)
(exp.f64 (log.f64 (*.f64 a (+.f64 c d))))
(*.f64 (+.f64 c d) a)
(fma.f64 a c (*.f64 a d))
(*.f64 (+.f64 c d) a)
(fma.f64 c a (*.f64 a d))
(*.f64 (+.f64 c d) a)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series7.0ms (0.2%)

Counts
1 → 39
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
1.0ms
a
@inf
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
1.0ms
a
@0
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
1.0ms
d
@0
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
0.0ms
c
@inf
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))

rewrite50.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
534×log-prod_binary64
520×fma-def_binary64
421×pow-prod-down_binary64
280×pow2_binary64
240×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
120010
2293910
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (*.f64 a (-.f64 (+.f64 d b) c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 (+.f64 d b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d b) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (-.f64 (+.f64 d b) c)) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (*.f64 (*.f64 (+.f64 d b) a) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (*.f64 a 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d b) a (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 d b) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 d b) a) 1 (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a c) 1 (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 d b) a) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a c) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) 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(*.f64 (sqrt.f64 a) (+.f64 d b)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 d b) a)) (sqrt.f64 (*.f64 (+.f64 d b) a)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d b)) (*.f64 (sqrt.f64 (+.f64 d b)) a) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 c c))) (cbrt.f64 c) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 d b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 d b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (pow.f64 (+.f64 d b) 2))) (cbrt.f64 (+.f64 d b)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (+.f64 d b))) (sqrt.f64 (+.f64 d b)) (*.f64 a c))))))

simplify46.0ms (1.5%)

Algorithm
egg-herbie
Rules
777×times-frac_binary64
557×distribute-rgt-in_binary64
515×distribute-lft-in_binary64
475×fma-def_binary64
272×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01951728
15551514
215691510
Stop Event
node limit
Counts
114 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(*.f64 (+.f64 d b) a)
(*.f64 c a)
(*.f64 c a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (*.f64 a (-.f64 (+.f64 d b) c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 (+.f64 d b) c))))
(*.f64 a (+.f64 (+.f64 d b) c))
(*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(*.f64 1 (*.f64 a (+.f64 (+.f64 d b) c)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 (+.f64 d b) c)))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 (+.f64 d b) c)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 (+.f64 d b) c))))
(*.f64 (+.f64 (+.f64 d b) c) a)
(/.f64 1 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))))
(/.f64 1 (/.f64 (*.f64 a (-.f64 (+.f64 d b) c)) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (*.f64 (*.f64 (+.f64 d b) a) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 d b) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (*.f64 a (-.f64 (+.f64 d b) c))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)))
(pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(pow.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))) -1)
(pow.f64 (/.f64 (*.f64 a (-.f64 (+.f64 d b) c)) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))) -1)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 (+.f64 d b) c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 (+.f64 d b) c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a))) (pow.f64 (exp.f64 a) c)))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) (+.f64 d b)) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 a) (+.f64 d b))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 2))
(fma.f64 (+.f64 d b) a (*.f64 a c))
(fma.f64 a (+.f64 d b) (*.f64 a c))
(fma.f64 a c (*.f64 (+.f64 d b) a))
(fma.f64 (*.f64 (+.f64 d b) a) 1 (*.f64 a c))
(fma.f64 c a (*.f64 (+.f64 d b) a))
(fma.f64 (*.f64 a c) 1 (*.f64 (+.f64 d b) a))
(fma.f64 1 (*.f64 (+.f64 d b) a) (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 (+.f64 d b) a))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (+.f64 d b) a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 (+.f64 d b) a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 (+.f64 d b) a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d b)) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) 2) (cbrt.f64 (*.f64 (+.f64 d b) a)) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 c c)) (*.f64 (cbrt.f64 c) a) (*.f64 (+.f64 d b) a))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 d b) 2)) (*.f64 (cbrt.f64 (+.f64 d b)) a) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 (+.f64 d b) a))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 (+.f64 d b) a))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d b)) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 d b) a)) (sqrt.f64 (*.f64 (+.f64 d b) a)) (*.f64 a c))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 (+.f64 d b) a))
(fma.f64 (sqrt.f64 (+.f64 d b)) (*.f64 (sqrt.f64 (+.f64 d b)) a) (*.f64 a c))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 c c))) (cbrt.f64 c) (*.f64 (+.f64 d b) a))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (+.f64 d b) a))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (+.f64 d b) a))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (+.f64 d b) a))
(fma.f64 (*.f64 (+.f64 d b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 (+.f64 d b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (cbrt.f64 (pow.f64 (+.f64 d b) 2))) (cbrt.f64 (+.f64 d b)) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 d b))) (sqrt.f64 (+.f64 d b)) (*.f64 a c))
Outputs
(+.f64 (*.f64 a b) (*.f64 c a))
(fma.f64 a b (*.f64 a c))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a d)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 (+.f64 d b)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 b d))
(*.f64 c a)
(*.f64 a c)
(*.f64 c a)
(*.f64 a c)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 1)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (*.f64 a (-.f64 (+.f64 d b) c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 (+.f64 d b) c))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(*.f64 a (+.f64 (+.f64 d b) c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 1 (*.f64 a (+.f64 (+.f64 d b) c)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 (+.f64 d b) c)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 (+.f64 d b) c)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (*.f64 a (-.f64 c (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 c (*.f64 a (-.f64 (-.f64 c b) d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 (+.f64 d b) c))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(*.f64 (+.f64 (+.f64 d b) c) a)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (*.f64 a (-.f64 c (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 c (*.f64 a (-.f64 (-.f64 c b) d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 1 (/.f64 (*.f64 a (-.f64 (+.f64 d b) c)) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (*.f64 a (-.f64 c (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 c (*.f64 a (-.f64 (-.f64 c b) d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (*.f64 (*.f64 (+.f64 d b) a) (*.f64 a c)))))
(*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (*.f64 a (-.f64 c (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 c (*.f64 a (-.f64 (-.f64 c b) d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 d b) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (*.f64 a (-.f64 c (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 c (*.f64 a (-.f64 (-.f64 c b) d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (*.f64 a (-.f64 (+.f64 d b) c))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 2) 1/2)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 3) 1/3)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 3)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2)
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 (+.f64 d b) a)) (pow.f64 (*.f64 (+.f64 d b) a) 2)) (+.f64 (pow.f64 (*.f64 (+.f64 d b) a) 3) (pow.f64 (*.f64 a c) 3))) -1)
(*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a c) (*.f64 a (-.f64 c (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 c (*.f64 a (-.f64 (-.f64 c b) d))) (pow.f64 (*.f64 a (+.f64 b d)) 2)))
(pow.f64 (/.f64 (*.f64 a (-.f64 (+.f64 d b) c)) (-.f64 (pow.f64 (*.f64 (+.f64 d b) a) 2) (pow.f64 (*.f64 a c) 2))) -1)
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 (+.f64 b d) c)))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (+.f64 b (-.f64 d c))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c c))) (*.f64 a (+.f64 b (-.f64 d c))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 2))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 (+.f64 d b) c)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 (+.f64 d b) c)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a))) (pow.f64 (exp.f64 a) c)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) (+.f64 d b)) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a))) (+.f64 1 (expm1.f64 (*.f64 a c)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 a) (+.f64 d b))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a)))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 3))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c))))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 1))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 1/3))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 3))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 2))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (+.f64 d b) a (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 a (+.f64 d b) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 a c (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 (+.f64 d b) a) 1 (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 c a (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 a c) 1 (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (*.f64 (+.f64 d b) a) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (*.f64 a c) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d b)) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) 2) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) 2) (cbrt.f64 (*.f64 (+.f64 d b) a)) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (cbrt.f64 (*.f64 c c)) (*.f64 (cbrt.f64 c) a) (*.f64 (+.f64 d b) a))
(fma.f64 (cbrt.f64 (*.f64 c c)) (*.f64 a (cbrt.f64 c)) (*.f64 a (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b d) (*.f64 (cbrt.f64 (*.f64 c c)) (cbrt.f64 c))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 d b) 2)) (*.f64 (cbrt.f64 (+.f64 d b)) a) (*.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b d) 2)) (*.f64 a (cbrt.f64 (+.f64 b d))) (*.f64 a c))
(*.f64 a (+.f64 c (*.f64 (cbrt.f64 (pow.f64 (+.f64 b d) 2)) (cbrt.f64 (+.f64 b d)))))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d b)) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 d b) a)) (sqrt.f64 (*.f64 (+.f64 d b) a)) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 d b)) (*.f64 (sqrt.f64 (+.f64 d b)) a) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 a (cbrt.f64 (*.f64 c c))) (cbrt.f64 c) (*.f64 (+.f64 d b) a))
(fma.f64 (cbrt.f64 (*.f64 c c)) (*.f64 a (cbrt.f64 c)) (*.f64 a (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b d) (*.f64 (cbrt.f64 (*.f64 c c)) (cbrt.f64 c))))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (+.f64 d b) a))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 (+.f64 d b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 (+.f64 d b) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(fma.f64 (*.f64 a (cbrt.f64 (pow.f64 (+.f64 d b) 2))) (cbrt.f64 (+.f64 d b)) (*.f64 a c))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b d) 2)) (*.f64 a (cbrt.f64 (+.f64 b d))) (*.f64 a c))
(*.f64 a (+.f64 c (*.f64 (cbrt.f64 (pow.f64 (+.f64 b d) 2)) (cbrt.f64 (+.f64 b d)))))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 d b))) (sqrt.f64 (+.f64 d b)) (*.f64 a c))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (+.f64 b c))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
a
@0
(*.f64 a (+.f64 b c))
0.0ms
a
@inf
(*.f64 a (+.f64 b c))
0.0ms
a
@-inf
(*.f64 a (+.f64 b c))
0.0ms
c
@inf
(*.f64 a (+.f64 b c))
0.0ms
c
@0
(*.f64 a (+.f64 b c))

rewrite73.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
779×pow1_binary64
725×add-log-exp_binary64
725×log1p-expm1-u_binary64
725×expm1-log1p-u_binary64
706×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11347
219837
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 a (+.f64 b c))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) a) (fma.f64 b b (*.f64 c (-.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c c)) a) (-.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 b b (*.f64 c (-.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (*.f64 b b) (*.f64 c c))) (-.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a b (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b a (*.f64 a c))))))

simplify57.0ms (1.9%)

Algorithm
egg-herbie
Rules
535×associate-/r*_binary64
311×fma-def_binary64
256×fma-neg_binary64
238×div-sub_binary64
215×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080477
1238474
2954473
33965468
Stop Event
node limit
Counts
60 → 36
Calls
Call 1
Inputs
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 c a))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a b))
(+.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a c) 1))
(-.f64 (+.f64 1 (*.f64 a (+.f64 b c))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) a) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c c)) a) (-.f64 b c))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 a (-.f64 (*.f64 b b) (*.f64 c c))) (-.f64 b c))
(pow.f64 (*.f64 a (+.f64 b c)) 1)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b c)))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b c) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b c))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b c))))
(fma.f64 a b (*.f64 a c))
(fma.f64 b a (*.f64 a c))
Outputs
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a c) (*.f64 a b))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a c) 1))
(*.f64 a (+.f64 c b))
(-.f64 (+.f64 1 (*.f64 a (+.f64 b c))) 1)
(*.f64 a (+.f64 c b))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 (*.f64 a b) (*.f64 a b) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (fma.f64 a (*.f64 b (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a (-.f64 c b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (*.f64 a (+.f64 (*.f64 a (*.f64 b b)) (*.f64 c (*.f64 a (-.f64 c b))))))
(*.f64 (/.f64 (pow.f64 a 3) (*.f64 a (*.f64 a (fma.f64 c (-.f64 c b) (*.f64 b b))))) (+.f64 (pow.f64 b 3) (pow.f64 c 3)))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))
(*.f64 a (+.f64 c b))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) a) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 a (/.f64 (fma.f64 b b (*.f64 c (-.f64 c b))) (+.f64 (pow.f64 b 3) (pow.f64 c 3))))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 c (-.f64 c b) (*.f64 b b)))
(/.f64 a (/.f64 (fma.f64 c (-.f64 c b) (*.f64 b b)) (+.f64 (pow.f64 b 3) (pow.f64 c 3))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 c c)) a) (-.f64 b c))
(*.f64 a (+.f64 c b))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 a (/.f64 (fma.f64 b b (*.f64 c (-.f64 c b))) (+.f64 (pow.f64 b 3) (pow.f64 c 3))))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 c (-.f64 c b) (*.f64 b b)))
(/.f64 a (/.f64 (fma.f64 c (-.f64 c b) (*.f64 b b)) (+.f64 (pow.f64 b 3) (pow.f64 c 3))))
(/.f64 (*.f64 a (-.f64 (*.f64 b b) (*.f64 c c))) (-.f64 b c))
(*.f64 a (+.f64 c b))
(pow.f64 (*.f64 a (+.f64 b c)) 1)
(*.f64 a (+.f64 c b))
(pow.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) 1/3)
(*.f64 a (+.f64 c b))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 3)
(*.f64 a (+.f64 c b))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) 2)
(*.f64 a (+.f64 c b))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2))
(*.f64 a (+.f64 c b))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b c)))
(*.f64 a (+.f64 c b))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3))
(*.f64 a (+.f64 c b))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b c) 3)))
(*.f64 a (+.f64 c b))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 a 3)))
(*.f64 a (+.f64 c b))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b c))))
(*.f64 a (+.f64 c b))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b c))))
(*.f64 a (+.f64 c b))
(exp.f64 (log.f64 (*.f64 a (+.f64 b c))))
(*.f64 a (+.f64 c b))
(fma.f64 a b (*.f64 a c))
(*.f64 a (+.f64 c b))
(fma.f64 b a (*.f64 a c))
(*.f64 a (+.f64 c b))

eval34.0ms (1.1%)

Compiler

Compiled 2515 to 770 computations (69.4% saved)

prune31.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1762178
Fresh000
Picked101
Done134
Total1785183
Error
0b
Counts
183 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
7.8b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
4.1b
(*.f64 d a)
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 55 to 35 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 c a) (*.f64 a d))
Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts
1 → 27
Calls

9 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(+.f64 (*.f64 c a) (*.f64 a d))
0.0ms
a
@0
(+.f64 (*.f64 c a) (*.f64 a d))
0.0ms
c
@0
(+.f64 (*.f64 c a) (*.f64 a d))
0.0ms
d
@inf
(+.f64 (*.f64 c a) (*.f64 a d))
0.0ms
d
@0
(+.f64 (*.f64 c a) (*.f64 a d))

rewrite46.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
817×pow1_binary64
756×add-log-exp_binary64
756×log1p-expm1-u_binary64
756×expm1-log1p-u_binary64
739×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078
11497
220607
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 c a) (*.f64 a d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (+.f64 d c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (*.f64 a (-.f64 c d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a)))) (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (-.f64 c d)) (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a d) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 c a) (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d))) (*.f64 a (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))) (neg.f64 (*.f64 a (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 a d) (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 d c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c a (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a c (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a d (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d a (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 c a) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a d) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (cbrt.f64 (*.f64 c a)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a)) (*.f64 a d))))))

simplify33.0ms (1.1%)

Algorithm
egg-herbie
Rules
542×associate-/r*_binary64
470×associate-*l/_binary64
379×fma-def_binary64
342×associate-*r/_binary64
276×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100666
1293626
21335626
Stop Event
node limit
Counts
66 → 50
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a d)
(*.f64 a d)
(-.f64 (+.f64 1 (*.f64 a (+.f64 d c))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (*.f64 a (-.f64 c d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 c d))))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 1 (*.f64 a (+.f64 d c)))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a))))))
(*.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a)))) (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3))))
(/.f64 1 (/.f64 (*.f64 a (-.f64 c d)) (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a d) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 c a) (*.f64 a d)))))
(/.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d))) (*.f64 a (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))) (neg.f64 (*.f64 a (-.f64 c d))))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 a d) (*.f64 c a)))
(pow.f64 (*.f64 a (+.f64 d c)) 1)
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(log.f64 (exp.f64 (*.f64 a (+.f64 d c))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(fma.f64 c a (*.f64 a d))
(fma.f64 a c (*.f64 a d))
(fma.f64 a d (*.f64 c a))
(fma.f64 d a (*.f64 c a))
(fma.f64 1 (*.f64 c a) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (cbrt.f64 (*.f64 c a)) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 c a))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a)) (*.f64 a d))
Outputs
(*.f64 a d)
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 a d)
(-.f64 (+.f64 1 (*.f64 a (+.f64 d c))) 1)
(*.f64 a (+.f64 d c))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) 2) (*.f64 a (-.f64 c d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 c d))))
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 c d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 c d))))
(-.f64 (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 c d))) (/.f64 (/.f64 (pow.f64 (*.f64 a d) 2) a) (-.f64 c d)))
(-.f64 (/.f64 (*.f64 a c) (*.f64 (-.f64 c d) (/.f64 1 c))) (/.f64 (/.f64 (*.f64 a d) (/.f64 1 d)) (-.f64 c d)))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 a (+.f64 d c))
(*.f64 1 (*.f64 a (+.f64 d c)))
(*.f64 a (+.f64 d c))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))
(*.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 a (+.f64 d c))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) 1) (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a d) (*.f64 a (-.f64 d c)) (pow.f64 (*.f64 a c) 2)))
(*.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d))) (/.f64 1 (*.f64 a (-.f64 c d))))
(*.f64 a (+.f64 d c))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a)))) (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) 1) (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a d) (*.f64 a (-.f64 d c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 1 (/.f64 (*.f64 a (-.f64 c d)) (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))))
(*.f64 a (+.f64 d c))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) 1) (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a d) (*.f64 a (-.f64 d c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a d) 2) (-.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 c a) (*.f64 a d)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) 1) (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a d) (*.f64 a (-.f64 d c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d))) (*.f64 a (-.f64 c d)))
(*.f64 a (+.f64 d c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c a) 3) (pow.f64 (*.f64 a d) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 c a) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 c a))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) 1) (+.f64 (pow.f64 (*.f64 a c) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a d) (*.f64 a (-.f64 d c)) (pow.f64 (*.f64 a c) 2)))
(/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 d c)) (*.f64 a (-.f64 c d)))) (neg.f64 (*.f64 a (-.f64 c d))))
(*.f64 a (+.f64 d c))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 c a) 2)) (-.f64 (*.f64 a d) (*.f64 c a)))
(*.f64 a (+.f64 d c))
(pow.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 a (+.f64 d c))
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)
(*.f64 a (+.f64 d c))
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)
(*.f64 a (+.f64 d c))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)
(*.f64 a (+.f64 d c))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(*.f64 a (+.f64 d c))
(log.f64 (exp.f64 (*.f64 a (+.f64 d c))))
(*.f64 a (+.f64 d c))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))
(*.f64 a (+.f64 d c))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(*.f64 a (+.f64 d c))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(*.f64 a (+.f64 d c))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(*.f64 a (+.f64 d c))
(fma.f64 c a (*.f64 a d))
(*.f64 a (+.f64 d c))
(fma.f64 a c (*.f64 a d))
(*.f64 a (+.f64 d c))
(fma.f64 a d (*.f64 c a))
(*.f64 a (+.f64 d c))
(fma.f64 d a (*.f64 c a))
(*.f64 a (+.f64 d c))
(fma.f64 1 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(fma.f64 1 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 c a))
(*.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 c a)) 2) (cbrt.f64 (*.f64 c a)) (*.f64 a d))
(*.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 c a))
(*.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 (*.f64 c a)) (*.f64 a d))
(*.f64 a (+.f64 d c))

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 c c) (*.f64 d d))
0.6b
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a)
7.1b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
Compiler

Compiled 45 to 10 computations (77.8% saved)

series14.0ms (0.5%)

Counts
3 → 96
Calls

24 calls:

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

rewrite87.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
895×prod-diff_binary64
629×log-prod_binary64
567×fma-def_binary64
225×fma-neg_binary64
212×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
123330
2358930
Stop Event
node limit
Counts
3 → 323
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a)
(-.f64 (*.f64 c c) (*.f64 d d))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 c d) a))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 c d) a))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 c d) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 c d) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 c d) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 c d) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (/.f64 (-.f64 c d) a)) (/.f64 (*.f64 d d) (/.f64 (-.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (*.f64 a (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (/.f64 1 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 c d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) 2) (cbrt.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 c d) a)) (sqrt.f64 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(2) ((x *.f64 (/.f64 a (sqrt.f64 (-.f64 c d))) (/.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 c d))) (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2)) (sqrt.f64 (-.f64 c d))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) (sqrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (*.f64 (-.f64 c d) (+.f64 c d))) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (-.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 c d) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 c d) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 c d) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 c d) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 c d) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (neg.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 c d) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 c d) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 c d) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 3) (pow.f64 (-.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 c d) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 c d) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) (*.f64 a (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 d (neg.f64 d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 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(-.f64 c d) (+.f64 c d)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c c) a (*.f64 (*.f64 d (neg.f64 d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) a (*.f64 a (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 c c) (*.f64 a (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (-.f64 c d) (+.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (-.f64 c d) (+.f64 c d)) (*.f64 a (fma.f64 d (neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule 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simplify158.0ms (5.1%)

Algorithm
egg-herbie
Rules
367×fma-neg_binary64
354×associate-*l*_binary64
343×associate-*r*_binary64
300×log-prod_binary64
240×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06397315
115686632
262386010
Stop Event
node limit
Counts
419 → 413
Calls
Call 1
Inputs
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(*.f64 (pow.f64 c 2) a)
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(fma.f64 (*.f64 c c) 1 (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (*.f64 c c) 1 (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 d (neg.f64 d) (*.f64 c c))
(fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 1 (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 1 (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 1 (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (*.f64 (-.f64 c d) (+.f64 c d)) 1 (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (-.f64 c d) (+.f64 c d) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (-.f64 c d) (+.f64 c d) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (-.f64 c d) (+.f64 c d) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (-.f64 c d) (+.f64 c d) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (-.f64 c d) (+.f64 c d) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 1 (*.f64 c c) (*.f64 d (neg.f64 d)))
(fma.f64 1 (*.f64 c c) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 1 (*.f64 c c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 1 (*.f64 c c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 1 (*.f64 (-.f64 c d) (+.f64 c d)) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 1 (*.f64 (-.f64 c d) (+.f64 c d)) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 1 (*.f64 (-.f64 c d) (+.f64 c d)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 1 (*.f64 (-.f64 c d) (+.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 1 (*.f64 (-.f64 c d) (+.f64 c d)) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 1 (*.f64 d (neg.f64 d)) (*.f64 c c))
(fma.f64 1 (fma.f64 d (neg.f64 d) (*.f64 d d)) (*.f64 (-.f64 c d) (+.f64 c d)))
(fma.f64 (cbrt.f64 (pow.f64 d 4)) (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (*.f64 c c))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) 2) (cbrt.f64 (*.f64 (-.f64 c d) (+.f64 c d))) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (*.f64 d (neg.f64 d)))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 (pow.f64 c 4)) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (*.f64 d (neg.f64 d)))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 d (neg.f64 d)))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 (cbrt.f64 c) 2) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (*.f64 d (neg.f64 d)))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (hypot.f64 c (sqrt.f64 (*.f64 d (neg.f64 d)))) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (neg.f64 d) d (*.f64 c c))
(fma.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (fma.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)) (pow.f64 c 4))) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (fma.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)) (pow.f64 c 4))) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (fma.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)) (pow.f64 c 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (fma.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)) (pow.f64 c 4))) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (-.f64 (pow.f64 c 6) (pow.f64 d 6)) (/.f64 1 (fma.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)) (pow.f64 c 4))) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (+.f64 c d) c (*.f64 (+.f64 c d) (neg.f64 d)))
(fma.f64 (+.f64 c d) (-.f64 c d) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (+.f64 c d) (-.f64 c d) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (+.f64 c d) (-.f64 c d) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (+.f64 c d) (-.f64 c d) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (+.f64 c d) (-.f64 c d) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (fma.f64 c c (*.f64 d d))) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (fma.f64 c c (*.f64 d d))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (-.f64 (pow.f64 c 4) (pow.f64 d 4)) (/.f64 1 (fma.f64 c c (*.f64 d d))) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 d (neg.f64 d)))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 d (neg.f64 d))) (cbrt.f64 (*.f64 d (neg.f64 d)))) (cbrt.f64 (*.f64 d (neg.f64 d))) (*.f64 c c))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 d (neg.f64 d) (*.f64 d d))) (cbrt.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)))) (cbrt.f64 (fma.f64 d (neg.f64 d) (*.f64 d d))) (*.f64 (-.f64 c d) (+.f64 c d)))
(fma.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 d (neg.f64 d))) (*.f64 c c))
(fma.f64 (hypot.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) d) (hypot.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) d) (*.f64 (-.f64 c d) (+.f64 c d)))
(fma.f64 -1 (*.f64 d d) (*.f64 c c))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 d 4))) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))
(fma.f64 (*.f64 (neg.f64 d) 1) d (*.f64 c c))
(fma.f64 (*.f64 (neg.f64 d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))
(fma.f64 (*.f64 (neg.f64 d) (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c c))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 d (neg.f64 d)))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 (*.f64 d (neg.f64 d)) 1))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (fma.f64 d (neg.f64 d) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (neg.f64 (-.f64 (*.f64 d d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))
(fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (*.f64 (+.f64 c d) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
Outputs
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 a (/.f64 (-.f64 c d) (/.f64 (-.f64 c d) (+.f64 d c))))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 a (/.f64 (-.f64 c d) (/.f64 (-.f64 c d) (+.f64 d c))))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 a (/.f64 (-.f64 c d) (/.f64 (-.f64 c d) (+.f64 d c))))
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(-.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 d (neg.f64 d) (*.f64 d d)))
(-.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))
(-.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (-.f64 c d) (+.f64 d c) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (pow.f64 d 4)) (*.f64 d d)))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))
(-.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 (*.f64 (+.f64 c d) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)) (+.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) (fma.f64 d (neg.f64 d) (*.f64 d d))))
(-.f64 (*.f64 c c) (*.f64 d d))

eval148.0ms (4.8%)

Compiler

Compiled 10625 to 2791 computations (73.7% saved)

prune135.0ms (4.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4621463
Fresh000
Picked011
Done044
Total4626468
Error
0b
Counts
468 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
7.8b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
9.4b
(/.f64 (*.f64 (*.f64 d (neg.f64 d)) a) (-.f64 c d))
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
4.1b
(*.f64 d a)
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 69 to 44 computations (36.2% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.6b
(*.f64 (*.f64 d (neg.f64 d)) a)
7.1b
(/.f64 (*.f64 (*.f64 d (neg.f64 d)) a) (-.f64 c d))
Compiler

Compiled 32 to 9 computations (71.9% saved)

series9.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

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

rewrite51.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
513×log-prod_binary64
438×prod-diff_binary64
338×pow-prod-down_binary64
238×pow2_binary64
213×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
120220
2316520
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 d (neg.f64 d)) a) (-.f64 c d))
(*.f64 (*.f64 d (neg.f64 d)) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 (*.f64 d a) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (/.f64 1 (/.f64 (+.f64 d c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (*.f64 a (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (*.f64 d d) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (*.f64 d a)) (/.f64 1 (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (*.f64 d a)) (/.f64 1 (+.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (*.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (sqrt.f64 a)) (*.f64 (*.f64 d (sqrt.f64 a)) (/.f64 1 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 d c)) (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 (*.f64 d a) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) 1) (/.f64 a (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 (*.f64 d d) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (sqrt.f64 a)) 1) (/.f64 (*.f64 d (sqrt.f64 a)) (+.f64 d c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d a) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 a (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d d) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (/.f64 (*.f64 d (*.f64 d a)) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (sqrt.f64 a)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d (sqrt.f64 a)) (cbrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d a) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))) (/.f64 a (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 d c) -1/2) (/.f64 (*.f64 d (*.f64 d a)) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (sqrt.f64 (+.f64 d c))) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (sqrt.f64 (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (*.f64 d a)) (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (+.f64 d c) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d (*.f64 d a)) (pow.f64 (+.f64 d c) 2)) (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 d (*.f64 d a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d (*.f64 d a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 d (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 d (*.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 d (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 d (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 d (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d (*.f64 d a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 d (*.f64 d a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 d (sqrt.f64 a))) 2))))))

simplify56.0ms (1.8%)

Algorithm
egg-herbie
Rules
554×associate-/r*_binary64
479×fma-def_binary64
432×associate-*r/_binary64
400×associate-/l/_binary64
381×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02492283
16812212
224992131
Stop Event
node limit
Counts
143 → 157
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d))))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d))))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d))))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(+.f64 0 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 1)
(*.f64 d (*.f64 (*.f64 d a) (/.f64 1 (+.f64 d c))))
(*.f64 (*.f64 d d) (/.f64 1 (/.f64 (+.f64 d c) a)))
(*.f64 (*.f64 d d) (*.f64 a (/.f64 1 (+.f64 d c))))
(*.f64 a (*.f64 (*.f64 d d) (/.f64 1 (+.f64 d c))))
(*.f64 (*.f64 d (*.f64 d a)) (/.f64 1 (+.f64 d c)))
(*.f64 (*.f64 d (*.f64 d a)) (/.f64 1 (+.f64 (neg.f64 c) d)))
(*.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)
(*.f64 1 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (*.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))))
(*.f64 (*.f64 d (sqrt.f64 a)) (*.f64 (*.f64 d (sqrt.f64 a)) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 1 (+.f64 d c)) (*.f64 d (*.f64 d a)))
(*.f64 (/.f64 d 1) (/.f64 (*.f64 d a) (+.f64 d c)))
(*.f64 (/.f64 (*.f64 d d) 1) (/.f64 a (+.f64 d c)))
(*.f64 (/.f64 a 1) (/.f64 (*.f64 d d) (+.f64 d c)))
(*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (+.f64 d c)))
(*.f64 (/.f64 (*.f64 d (sqrt.f64 a)) 1) (/.f64 (*.f64 d (sqrt.f64 a)) (+.f64 d c)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d a) (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 a (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d d) (cbrt.f64 (+.f64 d c))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (/.f64 (*.f64 d (*.f64 d a)) (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 (/.f64 (*.f64 d (sqrt.f64 a)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d (sqrt.f64 a)) (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 d (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d a) (sqrt.f64 (+.f64 d c))))
(*.f64 (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))) (/.f64 a (sqrt.f64 (+.f64 d c))))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))))
(*.f64 (pow.f64 (+.f64 d c) -1/2) (/.f64 (*.f64 d (*.f64 d a)) (sqrt.f64 (+.f64 d c))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (sqrt.f64 (+.f64 d c))) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (sqrt.f64 (+.f64 d c))))
(*.f64 (/.f64 (*.f64 d (*.f64 d a)) (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (+.f64 d c) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 d (*.f64 d a)) (pow.f64 (+.f64 d c) 2)) (+.f64 d c))
(pow.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 3)
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(pow.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) 1) -1)
(neg.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))
(cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a))) -1))
(+.f64 0 (*.f64 d (*.f64 d a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))
(-.f64 0 (*.f64 d (*.f64 d a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 d (*.f64 d a)))) 1)
(pow.f64 (*.f64 d (*.f64 d a)) 1)
(pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) 3)
(pow.f64 (*.f64 d (sqrt.f64 a)) 2)
(neg.f64 (*.f64 d (*.f64 d a)))
(sqrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a))))))
(cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6))
(expm1.f64 (log1p.f64 (*.f64 d (*.f64 d a))))
(log1p.f64 (expm1.f64 (*.f64 d (*.f64 d a))))
(exp.f64 (log.f64 (*.f64 d (*.f64 d a))))
(exp.f64 (*.f64 (log.f64 (*.f64 d (*.f64 d a))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 d (*.f64 d a)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 d (sqrt.f64 a))) 2))
Outputs
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) c)
(/.f64 d (/.f64 c (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 a c) (*.f64 d (neg.f64 d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))))
(*.f64 -1 (+.f64 (/.f64 (*.f64 d (*.f64 a d)) c) (/.f64 a (/.f64 (*.f64 c c) (pow.f64 d 3)))))
(-.f64 (/.f64 d (/.f64 c (*.f64 d (neg.f64 a)))) (*.f64 (/.f64 a c) (/.f64 (pow.f64 d 3) c)))
(neg.f64 (*.f64 (/.f64 a c) (+.f64 (*.f64 d d) (/.f64 (pow.f64 d 3) c))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3)))))
(fma.f64 -1 (/.f64 (*.f64 d (*.f64 a d)) c) (*.f64 -1 (+.f64 (/.f64 a (/.f64 (*.f64 c c) (pow.f64 d 3))) (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4))))))
(-.f64 (-.f64 (/.f64 d (/.f64 c (*.f64 d (neg.f64 a)))) (*.f64 (/.f64 a c) (/.f64 (pow.f64 d 3) c))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 4)))
(neg.f64 (fma.f64 (/.f64 a c) (*.f64 d d) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 (pow.f64 d 3) (/.f64 (pow.f64 d 4) c)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 5)) (pow.f64 c 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) c)) (+.f64 (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 2))) (*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 4)) (pow.f64 c 3))))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 c 4) (pow.f64 d 5))) (fma.f64 -1 (/.f64 (*.f64 d (*.f64 a d)) c) (*.f64 -1 (+.f64 (/.f64 a (/.f64 (*.f64 c c) (pow.f64 d 3))) (/.f64 a (/.f64 (pow.f64 c 3) (pow.f64 d 4)))))))
(-.f64 (-.f64 (-.f64 (/.f64 d (/.f64 c (*.f64 d (neg.f64 a)))) (*.f64 (/.f64 a c) (/.f64 (pow.f64 d 3) c))) (*.f64 (/.f64 a (pow.f64 c 3)) (pow.f64 d 4))) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 5)))
(-.f64 (neg.f64 (*.f64 (/.f64 a (*.f64 c c)) (+.f64 (pow.f64 d 3) (/.f64 (pow.f64 d 4) c)))) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 5) (*.f64 (*.f64 d d) (/.f64 a c))))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 c a (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(fma.f64 c a (fma.f64 a d (/.f64 (*.f64 a (*.f64 c c)) d)))
(fma.f64 a c (fma.f64 a d (*.f64 (/.f64 (*.f64 c c) d) a)))
(fma.f64 a (+.f64 d c) (*.f64 a (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d))))
(+.f64 (fma.f64 c a (fma.f64 a d (/.f64 (*.f64 a (*.f64 c c)) d))) (/.f64 (pow.f64 c 3) (/.f64 (*.f64 d d) a)))
(+.f64 (fma.f64 a c (fma.f64 a d (*.f64 (/.f64 (*.f64 c c) d) a))) (*.f64 (/.f64 a d) (/.f64 (pow.f64 c 3) d)))
(fma.f64 a (+.f64 d c) (*.f64 a (+.f64 (/.f64 (*.f64 c c) d) (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 c a (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(fma.f64 c a (fma.f64 a d (/.f64 (*.f64 a (*.f64 c c)) d)))
(fma.f64 a c (fma.f64 a d (*.f64 (/.f64 (*.f64 c c) d) a)))
(fma.f64 a (+.f64 d c) (*.f64 a (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d))))
(+.f64 (fma.f64 c a (fma.f64 a d (/.f64 (*.f64 a (*.f64 c c)) d))) (/.f64 (pow.f64 c 3) (/.f64 (*.f64 d d) a)))
(+.f64 (fma.f64 a c (fma.f64 a d (*.f64 (/.f64 (*.f64 c c) d) a))) (*.f64 (/.f64 a d) (/.f64 (pow.f64 c 3) d)))
(fma.f64 a (+.f64 d c) (*.f64 a (+.f64 (/.f64 (*.f64 c c) d) (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 -1 (/.f64 (*.f64 a (pow.f64 d 2)) (-.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) (*.f64 a d)) (-.f64 c d))
(/.f64 d (/.f64 (-.f64 c d) (*.f64 d (neg.f64 a))))
(*.f64 (/.f64 d (-.f64 c d)) (*.f64 d (neg.f64 a)))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 c a (*.f64 a d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d)))
(fma.f64 c a (fma.f64 a d (/.f64 (*.f64 a (*.f64 c c)) d)))
(fma.f64 a c (fma.f64 a d (*.f64 (/.f64 (*.f64 c c) d) a)))
(fma.f64 a (+.f64 d c) (*.f64 a (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 2)) (+.f64 (*.f64 c a) (+.f64 (*.f64 a d) (/.f64 (*.f64 (pow.f64 c 2) a) d))))
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(*.f64 (/.f64 (*.f64 d d) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 a (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 d (/.f64 (cbrt.f64 (+.f64 d c)) a)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (*.f64 (/.f64 d (cbrt.f64 (+.f64 d c))) a))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (*.f64 a (/.f64 d (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d d) (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 d (/.f64 (cbrt.f64 (+.f64 d c)) a)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (*.f64 (/.f64 d (cbrt.f64 (+.f64 d c))) a))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (*.f64 a (/.f64 d (cbrt.f64 (+.f64 d c)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (/.f64 (*.f64 d (*.f64 d a)) (cbrt.f64 (+.f64 d c))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (/.f64 d (/.f64 (cbrt.f64 (+.f64 d c)) (*.f64 a d))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (*.f64 (/.f64 d (cbrt.f64 (+.f64 d c))) (*.f64 a d)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) -2) (*.f64 (*.f64 a d) (/.f64 d (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)))
(*.f64 (/.f64 (*.f64 d (sqrt.f64 a)) (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 (*.f64 d (sqrt.f64 a)) (cbrt.f64 (+.f64 d c))))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (/.f64 d (/.f64 (cbrt.f64 (+.f64 d c)) a)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (*.f64 (/.f64 d (cbrt.f64 (+.f64 d c))) a))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (*.f64 a (/.f64 d (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 d (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d a) (sqrt.f64 (+.f64 d c))))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(*.f64 (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))) (/.f64 a (sqrt.f64 (+.f64 d c))))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 d c))) (/.f64 (*.f64 d d) (sqrt.f64 (+.f64 d c))))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(*.f64 (pow.f64 (+.f64 d c) -1/2) (/.f64 (*.f64 d (*.f64 d a)) (sqrt.f64 (+.f64 d c))))
(*.f64 (pow.f64 (+.f64 d c) -1/2) (/.f64 d (/.f64 (sqrt.f64 (+.f64 d c)) (*.f64 a d))))
(*.f64 (pow.f64 (+.f64 d c) -1/2) (/.f64 (*.f64 a (*.f64 d d)) (sqrt.f64 (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (+.f64 d c) -1/2) (sqrt.f64 (+.f64 d c))) (*.f64 a (*.f64 d d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (sqrt.f64 (+.f64 d c))) (/.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) (sqrt.f64 (+.f64 d c))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (*.f64 (/.f64 1 (+.f64 d c)) (cbrt.f64 (*.f64 d (*.f64 a d)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4)) (/.f64 (cbrt.f64 (*.f64 a (*.f64 d d))) (+.f64 d c)))
(*.f64 (/.f64 (*.f64 d (*.f64 d a)) (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (+.f64 d c) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 d (*.f64 a d)) (+.f64 (pow.f64 d 3) (pow.f64 c 3))) (fma.f64 d (+.f64 d c) (*.f64 c c)))
(/.f64 (*.f64 a (*.f64 d d)) (/.f64 (+.f64 (pow.f64 d 3) (pow.f64 c 3)) (fma.f64 d (+.f64 d c) (*.f64 c c))))
(*.f64 (/.f64 (*.f64 d (fma.f64 d (+.f64 d c) (*.f64 c c))) (+.f64 (pow.f64 d 3) (pow.f64 c 3))) (*.f64 a d))
(*.f64 (/.f64 (*.f64 d (*.f64 d a)) (pow.f64 (+.f64 d c) 2)) (+.f64 d c))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(pow.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a) 1)
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4) 1/2)
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6) 1/3)
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 3)
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(pow.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) -1)
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(pow.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)))
(pow.f64 (/.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a)) 1) -1)
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(neg.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))
(*.f64 (/.f64 d (/.f64 (+.f64 d c) d)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 (*.f64 d d)) (+.f64 d c)))
(*.f64 a (/.f64 (*.f64 d (neg.f64 d)) (+.f64 d c)))
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 4))
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))))
(*.f64 (/.f64 d (/.f64 (+.f64 d c) d)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 (*.f64 d d)) (+.f64 d c)))
(*.f64 a (/.f64 (*.f64 d (neg.f64 d)) (+.f64 d c)))
(cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6))
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) (pow.f64 (+.f64 d c) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a)) 1))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 6)) 1/3))
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 d d) (+.f64 d c)) a))) 3))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a)))) 2))
(pow.f64 (/.f64 d (sqrt.f64 (/.f64 (+.f64 d c) a))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 d -2) (/.f64 (+.f64 d c) a))) -1))
(*.f64 a (/.f64 d (/.f64 (+.f64 d c) d)))
(*.f64 a (/.f64 (*.f64 d d) (+.f64 d c)))
(/.f64 (*.f64 a (*.f64 d d)) (+.f64 d c))
(+.f64 0 (*.f64 d (*.f64 d a)))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(-.f64 0 (*.f64 d (*.f64 d a)))
(*.f64 (neg.f64 d) (*.f64 a d))
(*.f64 a (neg.f64 (*.f64 d d)))
(*.f64 d (*.f64 d (neg.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 d (*.f64 d a)))) 1)
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(pow.f64 (*.f64 d (*.f64 d a)) 1)
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4) 1/2)
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(pow.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6) 1/3)
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(pow.f64 (cbrt.f64 (*.f64 d (*.f64 d a))) 3)
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(pow.f64 (*.f64 d (sqrt.f64 a)) 2)
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(neg.f64 (*.f64 d (*.f64 d a)))
(*.f64 (neg.f64 d) (*.f64 a d))
(*.f64 a (neg.f64 (*.f64 d d)))
(*.f64 d (*.f64 d (neg.f64 a)))
(sqrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 4))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 d d)))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a)))))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 d (*.f64 d a))))))
(*.f64 (neg.f64 d) (*.f64 a d))
(*.f64 a (neg.f64 (*.f64 d d)))
(*.f64 d (*.f64 d (neg.f64 a)))
(cbrt.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(expm1.f64 (log1p.f64 (*.f64 d (*.f64 d a))))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(log1p.f64 (expm1.f64 (*.f64 d (*.f64 d a))))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(exp.f64 (log.f64 (*.f64 d (*.f64 d a))))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(exp.f64 (*.f64 (log.f64 (*.f64 d (*.f64 d a))) 1))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 d (sqrt.f64 a)) 6)) 1/3))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 d (*.f64 d a)))) 3))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))
(exp.f64 (*.f64 (log.f64 (*.f64 d (sqrt.f64 a))) 2))
(*.f64 d (*.f64 a d))
(*.f64 a (*.f64 d d))

eval34.0ms (1.1%)

Compiler

Compiled 2394 to 794 computations (66.8% saved)

prune27.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1561157
Fresh000
Picked101
Done055
Total1576163
Error
0b
Counts
163 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
7.8b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
9.4b
(/.f64 (*.f64 a (*.f64 d d)) (-.f64 d c))
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
4.1b
(*.f64 d a)
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 68 to 43 computations (36.8% saved)

regimes44.0ms (1.4%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(/.f64 (*.f64 a (*.f64 d d)) (-.f64 d c))
(/.f64 (*.f64 (*.f64 d (neg.f64 d)) a) (-.f64 c d))
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
Outputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
Calls

7 calls:

8.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms
(+.f64 b c)
6.0ms
a
6.0ms
c
5.0ms
(+.f64 (+.f64 b c) d)
Results
ErrorSegmentsBranch
0b1a
0b1b
0b1c
0b1d
0b1(*.f64 a (+.f64 (+.f64 b c) d))
0b1(+.f64 (+.f64 b c) d)
0b1(+.f64 b c)
Compiler

Compiled 122 to 65 computations (46.7% saved)

regimes84.0ms (2.7%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 c a) (*.f64 a d))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(/.f64 (*.f64 a (*.f64 d d)) (-.f64 d c))
(/.f64 (*.f64 (*.f64 d (neg.f64 d)) a) (-.f64 c d))
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
Outputs
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
Calls

7 calls:

47.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
9.0ms
a
6.0ms
c
6.0ms
(+.f64 (+.f64 b c) d)
5.0ms
b
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1c
0.0b1d
0.0b1(*.f64 a (+.f64 (+.f64 b c) d))
0.0b1(+.f64 (+.f64 b c) d)
0.0b1(+.f64 b c)
Compiler

Compiled 114 to 63 computations (44.7% saved)

regimes29.0ms (1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 c a) (*.f64 a d))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
Calls

7 calls:

5.0ms
c
5.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
4.0ms
(+.f64 (+.f64 b c) d)
4.0ms
(+.f64 b c)
4.0ms
b
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1c
0.0b1d
0.0b1(*.f64 a (+.f64 (+.f64 b c) d))
0.0b1(+.f64 (+.f64 b c) d)
0.0b1(+.f64 b c)
Compiler

Compiled 73 to 47 computations (35.6% saved)

regimes14.0ms (0.4%)

Accuracy

Total -4.0b remaining (-2730.6%)

Threshold costs -4.0b (-2730.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
Outputs
(*.f64 a (+.f64 c d))
Calls

4 calls:

4.0ms
d
3.0ms
a
3.0ms
c
3.0ms
b
Results
ErrorSegmentsBranch
0.1b1a
0.1b1b
0.1b1c
0.1b1d
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01745
12845
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c d))
(*.f64 d a)
Outputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(+.f64 (*.f64 a (+.f64 d b)) (*.f64 a c))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 d a)
Compiler

Compiled 52 to 33 computations (36.5% saved)

soundness0.0ms (0%)

end67.0ms (2.2%)

Compiler

Compiled 60 to 30 computations (50% saved)

Profiling

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