Details

Time bar (total: 4.0s)

analyze1.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.6s (38.9%)

Results
1.6s8256×body256valid

preprocess112.0ms (2.8%)

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 → 2
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 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.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
1.0ms
b
@-inf
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
a
@-inf
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
a
@0
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
b
@inf
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
d
@inf
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite60.0ms (1.5%)

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)))))))

simplify52.0ms (1.3%)

Algorithm
egg-herbie
Rules
25×fma-def_binary64
+-commutative_binary64
*-commutative_binary64
distribute-rgt-in_binary64
associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021435
150435
269435
377435
Stop Event
saturated
Counts
112 → 76
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))
Outputs
(*.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 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 d b) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (*.f64 a (+.f64 c b)) (*.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)

eval110.0ms (2.7%)

Compiler

Compiled 915 to 248 computations (72.9% saved)

prune13.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New72476
Fresh000
Picked101
Done000
Total73477
Error
0b
Counts
77 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
3.3b
(*.f64 d a)
0.1b
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
0b
(fma.f64 d a (*.f64 a (+.f64 b c)))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 41 to 26 computations (36.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite52.0ms (1.3%)

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))))))

simplify22.0ms (0.5%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010234
116234
218234
Stop Event
saturated
Counts
60 → 30
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))
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)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series9.0ms (0.2%)

Counts
1 → 39
Calls

12 calls:

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

rewrite113.0ms (2.8%)

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 (-.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a))) (pow.f64 (exp.f64 a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) (+.f64 d b)) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a))) (+.f64 1 (expm1.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 a) (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a c))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 d b) c)))) 2))))) (#(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) (*.f64 (cbrt.f64 a) c) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d b)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) 2) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 d b) a)) 2) (cbrt.f64 (*.f64 (+.f64 d b) a)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c c)) (*.f64 (cbrt.f64 c) a) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 d b) 2)) (*.f64 (cbrt.f64 (+.f64 d b)) a) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.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))))))

simplify49.0ms (1.2%)

Algorithm
egg-herbie
Rules
393×fma-neg_binary64
373×fma-def_binary64
115×distribute-rgt-in_binary64
96×distribute-lft-in_binary64
93×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023407
166345
2190345
3517345
41280345
51801345
62078345
72083345
Stop Event
saturated
Counts
114 → 90
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)
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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)

localize8.0ms (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)

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
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
b
@0
(*.f64 a (+.f64 b c))

rewrite50.0ms (1.2%)

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))))))

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09234
117234
220234
Stop Event
saturated
Counts
60 → 29
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))
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))

eval30.0ms (0.7%)

Compiler

Compiled 1901 to 552 computations (71% saved)

prune24.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1454149
Fresh000
Picked101
Done123
Total1476153
Error
0b
Counts
153 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 d a (*.f64 c a))
6.0b
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))
3.3b
(*.f64 d a)
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
6.4b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 81 to 45 computations (44.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.1%)

Counts
1 → 27
Calls

9 calls:

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

rewrite51.0ms (1.3%)

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))))))

simplify26.0ms (0.6%)

Algorithm
egg-herbie
Rules
90×fma-neg_binary64
85×fma-def_binary64
42×cancel-sign-sub-inv_binary64
38×distribute-rgt-in_binary64
34×distribute-lft-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015192
133171
279171
3209171
4433171
5566171
6676171
7681171
Stop Event
saturated
Counts
66 → 45
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)
Outputs
(*.f64 a d)
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 a d)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 c c) (*.f64 d d))
0.3b
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a)
6.3b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
Compiler

Compiled 45 to 10 computations (77.8% saved)

series15.0ms (0.4%)

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

rewrite105.0ms (2.6%)

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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(neg.f64 d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 c)) (sqrt.f64 c) (*.f64 (*.f64 d (neg.f64 d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 d (neg.f64 d))) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 d d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 d 4))) (pow.f64 (cbrt.f64 d) 2) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 d) 1) d (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 d) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 d) (sqrt.f64 d)) (sqrt.f64 d) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 d (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 (*.f64 d (neg.f64 d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 d (neg.f64 d) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (fma.f64 (*.f64 d (neg.f64 d)) 1 (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 c d) 1) (-.f64 c d) (*.f64 (fma.f64 d (neg.f64 d) (*.f64 d d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify73.0ms (1.8%)

Algorithm
egg-herbie
Rules
815×div-sub_binary64
634×associate-*l*_binary64
449×times-frac_binary64
442×associate-*r*_binary64
422×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0221164
1521026
21051026
32671026
41094918
56205918
Stop Event
node limit
Counts
419 → 344
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)
(+.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)
(+.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)
(+.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 -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 -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 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(*.f64 -1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(pow.f64 c 2)
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(*.f64 -1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(*.f64 -1 (pow.f64 d 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
Outputs
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 c 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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.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 (/.f64 a (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 a (-.f64 c d)))
(*.f64 a (*.f64 1 (+.f64 d c)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(neg.f64 (*.f64 a (*.f64 d d)))
(*.f64 a (*.f64 d (neg.f64 d)))
(*.f64 (*.f64 a d) (neg.f64 d))
(*.f64 (*.f64 d d) (neg.f64 a))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (pow.f64 c 2) a)
(*.f64 a (*.f64 c c))
(*.f64 c (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (pow.f64 c 2) a)
(*.f64 a (*.f64 c c))
(*.f64 c (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (pow.f64 c 2) a)
(*.f64 a (*.f64 c c))
(*.f64 c (*.f64 a c))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(neg.f64 (*.f64 a (*.f64 d d)))
(*.f64 a (*.f64 d (neg.f64 d)))
(*.f64 (*.f64 a d) (neg.f64 d))
(*.f64 (*.f64 d d) (neg.f64 a))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 -1 (*.f64 a (pow.f64 d 2)))
(neg.f64 (*.f64 a (*.f64 d d)))
(*.f64 a (*.f64 d (neg.f64 d)))
(*.f64 (*.f64 a d) (neg.f64 d))
(*.f64 (*.f64 d d) (neg.f64 a))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 d 2))) (*.f64 (pow.f64 c 2) a))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(fma.f64 -1 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 -1 (pow.f64 d 2))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(pow.f64 c 2)
(*.f64 c c)
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(*.f64 -1 (pow.f64 d 2))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(*.f64 -1 (pow.f64 d 2))
(neg.f64 (*.f64 d d))
(*.f64 d (neg.f64 d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 -1 (pow.f64 d 2)) (pow.f64 c 2))
(-.f64 (*.f64 c c) (*.f64 d d))

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 a c) (*.f64 a d))
0.2b
(*.f64 (*.f64 a c) (*.f64 a c))
0.4b
(*.f64 (*.f64 a d) (*.f64 a d))
6.3b
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))
Compiler

Compiled 72 to 11 computations (84.7% saved)

series14.0ms (0.4%)

Counts
4 → 120
Calls

30 calls:

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

rewrite99.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
904×log-prod_binary64
539×fma-neg_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
202×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01146
127728
2467428
Stop Event
node limit
Counts
4 → 232
Calls
Call 1
Inputs
(/.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 a d) (*.f64 a d))
(*.f64 (*.f64 a c) (*.f64 a c))
(-.f64 (*.f64 a c) (*.f64 a d))
Outputs
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(neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c (*.f64 a c))) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 c (*.f64 a c))) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (-.f64 c d))) (sqrt.f64 (*.f64 a (-.f64 c d))) (fma.f64 (neg.f64 d) a (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a c) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a c) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2)) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a c))) (sqrt.f64 c) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a c))) (sqrt.f64 c) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (*.f64 a d) (fma.f64 (neg.f64 d) a (*.f64 a d)))))))))

simplify70.0ms (1.7%)

Algorithm
egg-herbie
Rules
734×fma-def_binary64
700×times-frac_binary64
354×distribute-frac-neg_binary64
339×associate-/l*_binary64
332×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0291314
1821314
22171314
39061044
45137954
Stop Event
node limit
Counts
352 → 247
Calls
Call 1
Inputs
(/.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 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 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 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 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.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 -1 (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 c a)
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 c a)
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 c a)
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 -1 (*.f64 a d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
Outputs
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(/.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 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 -1 (/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 (*.f64 -1 c) (*.f64 -1 d))))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a d) (*.f64 c a))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 c a) (*.f64 a d))
(/.f64 a (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 a (-.f64 c d)))
(*.f64 a (/.f64 (+.f64 c d) 1))
(*.f64 a (+.f64 c d))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (*.f64 d d) (*.f64 a a))
(*.f64 d (*.f64 d (*.f64 a a)))
(*.f64 a (*.f64 a (*.f64 d d)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 (pow.f64 c 2) (pow.f64 a 2))
(*.f64 (*.f64 c c) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 c c)))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 c) (*.f64 -1 d)) a))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 a d))
(neg.f64 (*.f64 a d))
(*.f64 a (neg.f64 d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 a d))
(neg.f64 (*.f64 a d))
(*.f64 a (neg.f64 d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(*.f64 -1 (*.f64 a d))
(neg.f64 (*.f64 a d))
(*.f64 a (neg.f64 d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))
(+.f64 (*.f64 c a) (*.f64 -1 (*.f64 a d)))
(*.f64 a (-.f64 c d))

localize7.0ms (0.2%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

eval221.0ms (5.5%)

Compiler

Compiled 15179 to 3710 computations (75.6% saved)

prune100.0ms (2.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6342636
Fresh000
Picked011
Done145
Total6357642
Error
0b
Counts
642 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 d a (*.f64 c a))
3.3b
(*.f64 d a)
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
6.3b
(*.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))
6.5b
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
6.4b
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 92 to 56 computations (39.1% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))
0.1b
(/.f64 1 (-.f64 c d))
6.3b
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d)))
Compiler

Compiled 54 to 17 computations (68.5% saved)

series7.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
c
@0
(/.f64 1 (-.f64 c d))
1.0ms
c
@inf
(/.f64 1 (-.f64 c d))
0.0ms
d
@-inf
(/.f64 1 (-.f64 c d))
0.0ms
d
@inf
(/.f64 1 (-.f64 c d))
0.0ms
c
@-inf
(/.f64 1 (-.f64 c d))

rewrite67.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
779×prod-diff_binary64
627×log-prod_binary64
382×fma-def_binary64
198×expm1-udef_binary64
198×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
124518
2373518
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d)))
(/.f64 1 (-.f64 c d))
(*.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 c d)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 d c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 c (-.f64 c d)) (/.f64 1 (-.f64 c d))) (*.f64 (*.f64 d (-.f64 c d)) (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 c d)) (*.f64 c (-.f64 c d))) (*.f64 (/.f64 1 (-.f64 c d)) (*.f64 d (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 c d))) (cbrt.f64 (exp.f64 (+.f64 c d))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 c d)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 c d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 c d) (/.f64 (-.f64 c d) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c d) (/.f64 (-.f64 c d) (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 c d) (-.f64 (*.f64 c c) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (+.f64 (pow.f64 c 3) (pow.f64 d 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 c c) (*.f64 d d)) 2)) (/.f64 (-.f64 c d) (cbrt.f64 (-.f64 (*.f64 c c) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (-.f64 c d) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 d d (-.f64 (*.f64 c c) (*.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (neg.f64 (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)) (sqrt.f64 (-.f64 c d))) (sqrt.f64 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) 1) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (pow.f64 (cbrt.f64 (-.f64 c d)) 2)) (cbrt.f64 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d d) (*.f64 c c)) (-.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 d (+.f64 c d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 c c) (*.f64 d d))) (neg.f64 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) -1) (neg.f64 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 c d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 c d) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 c d)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 c d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 c d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 c) (+.f64 1 (expm1.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (+.f64 1 (expm1.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 c d) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 c c) (*.f64 d d)) 3) (pow.f64 (-.f64 c d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 c c) (*.f64 d d)) 3) (pow.f64 (/.f64 1 (-.f64 c d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 c d)) 3) (pow.f64 (-.f64 (*.f64 c c) (*.f64 d d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 c d)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 c d)) (*.f64 c (-.f64 c d)) (*.f64 (/.f64 1 (-.f64 c d)) (*.f64 d (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (-.f64 c d)) (/.f64 1 (-.f64 c d)) (*.f64 (*.f64 d (-.f64 c d)) (/.f64 1 (-.f64 c d))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 c d)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 c d)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 c d))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 c d))) (cbrt.f64 (pow.f64 (-.f64 c d) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 c d) -2)) (/.f64 1 (cbrt.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 c d) -1/2) (pow.f64 (-.f64 c d) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 c d)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 c d)) -1) (pow.f64 (sqrt.f64 (-.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (+.f64 c d) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 c c) (*.f64 d d))) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 c d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 c d) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 c d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 c d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 c d))) 1))))))
((#(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 (pow.f64 (exp.f64 a) (+.f64 c d))) (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 c d))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))))))) (#(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 a (-.f64 c d)) (+.f64 c d)) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a (-.f64 c d)) (+.f64 c d)) 1) (-.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 a (-.f64 c d)) (+.f64 c d)) -1) (neg.f64 (-.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 sqrt.f64 (pow.f64 (*.f64 (+.f64 c d) a) 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 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 c d) 3) (pow.f64 a 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 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))))))

simplify63.0ms (1.6%)

Algorithm
egg-herbie
Rules
674×associate-/l*_binary64
571×fma-neg_binary64
512×associate-/r*_binary64
505×fma-def_binary64
379×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043813
1112798
2313750
31248726
47685726
Stop Event
node limit
Counts
194 → 133
Calls
Call 1
Inputs
d
(+.f64 c d)
(+.f64 c d)
(+.f64 c d)
c
(+.f64 c d)
(+.f64 c d)
(+.f64 c d)
c
(+.f64 c d)
(+.f64 c d)
(+.f64 c d)
c
(+.f64 c d)
(+.f64 c d)
(+.f64 c d)
d
(+.f64 c d)
(+.f64 c d)
(+.f64 c d)
d
(+.f64 c d)
(+.f64 c d)
(+.f64 c d)
(/.f64 -1 d)
(-.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (*.f64 -1 (/.f64 c (pow.f64 d 2)))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(/.f64 1 c)
(+.f64 (/.f64 1 c) (/.f64 d (pow.f64 c 2)))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2)))))
(/.f64 1 c)
(+.f64 (/.f64 1 c) (/.f64 d (pow.f64 c 2)))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2)))))
(/.f64 1 c)
(+.f64 (/.f64 1 c) (/.f64 d (pow.f64 c 2)))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2)))))
(/.f64 -1 d)
(-.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (*.f64 -1 (/.f64 c (pow.f64 d 2)))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(/.f64 -1 d)
(-.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (*.f64 -1 (/.f64 c (pow.f64 d 2)))) (/.f64 1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(*.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))
Outputs
d
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
c
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
c
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
c
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
d
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
d
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(+.f64 c d)
(+.f64 d c)
(/.f64 -1 d)
(-.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(-.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 1 d))
(fma.f64 -1 (/.f64 c (*.f64 d d)) (/.f64 -1 d))
(-.f64 (/.f64 -1 d) (/.f64 c (*.f64 d d)))
(*.f64 (+.f64 1 (/.f64 c d)) (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (*.f64 -1 (/.f64 c (pow.f64 d 2)))) (/.f64 1 d))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (neg.f64 (/.f64 c (*.f64 d d)))) (/.f64 1 d))
(fma.f64 -1 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 -1 d))
(+.f64 (*.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d))) (/.f64 -1 d))
(fma.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d)) (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 -1 (/.f64 c (*.f64 d d)) (neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 -1 d))
(+.f64 (-.f64 (*.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 -1 d))
(-.f64 (fma.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d)) (/.f64 -1 d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(/.f64 1 c)
(+.f64 (/.f64 1 c) (/.f64 d (pow.f64 c 2)))
(+.f64 (/.f64 1 c) (/.f64 d (*.f64 c c)))
(+.f64 (/.f64 1 c) (/.f64 (/.f64 d c) c))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (*.f64 d d) (pow.f64 c 3))))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 3) d))))
(+.f64 (/.f64 1 c) (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 d (*.f64 c c))))
(fma.f64 (+.f64 1 (/.f64 d c)) (/.f64 (/.f64 d c) c) (/.f64 1 c))
(+.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2)))))
(+.f64 (+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (*.f64 d d) (pow.f64 c 3)))) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 3) d))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 d (*.f64 c c))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 1 c) (*.f64 (/.f64 (/.f64 d c) c) (+.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (/.f64 d c) 1))))
(/.f64 1 c)
(+.f64 (/.f64 1 c) (/.f64 d (pow.f64 c 2)))
(+.f64 (/.f64 1 c) (/.f64 d (*.f64 c c)))
(+.f64 (/.f64 1 c) (/.f64 (/.f64 d c) c))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (*.f64 d d) (pow.f64 c 3))))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 3) d))))
(+.f64 (/.f64 1 c) (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 d (*.f64 c c))))
(fma.f64 (+.f64 1 (/.f64 d c)) (/.f64 (/.f64 d c) c) (/.f64 1 c))
(+.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2)))))
(+.f64 (+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (*.f64 d d) (pow.f64 c 3)))) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 3) d))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 d (*.f64 c c))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 1 c) (*.f64 (/.f64 (/.f64 d c) c) (+.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (/.f64 d c) 1))))
(/.f64 1 c)
(+.f64 (/.f64 1 c) (/.f64 d (pow.f64 c 2)))
(+.f64 (/.f64 1 c) (/.f64 d (*.f64 c c)))
(+.f64 (/.f64 1 c) (/.f64 (/.f64 d c) c))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2))))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (*.f64 d d) (pow.f64 c 3))))
(+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 3) d))))
(+.f64 (/.f64 1 c) (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 d (*.f64 c c))))
(fma.f64 (+.f64 1 (/.f64 d c)) (/.f64 (/.f64 d c) c) (/.f64 1 c))
(+.f64 (/.f64 (pow.f64 d 3) (pow.f64 c 4)) (+.f64 (/.f64 1 c) (+.f64 (/.f64 (pow.f64 d 2) (pow.f64 c 3)) (/.f64 d (pow.f64 c 2)))))
(+.f64 (+.f64 (/.f64 1 c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (*.f64 d d) (pow.f64 c 3)))) (/.f64 (pow.f64 d 3) (pow.f64 c 4)))
(+.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 d (/.f64 (pow.f64 c 3) d))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (*.f64 (+.f64 (/.f64 d c) 1) (/.f64 d (*.f64 c c))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 3) (pow.f64 c 4))))
(+.f64 (/.f64 1 c) (*.f64 (/.f64 (/.f64 d c) c) (+.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (/.f64 d c) 1))))
(/.f64 -1 d)
(-.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(-.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 1 d))
(fma.f64 -1 (/.f64 c (*.f64 d d)) (/.f64 -1 d))
(-.f64 (/.f64 -1 d) (/.f64 c (*.f64 d d)))
(*.f64 (+.f64 1 (/.f64 c d)) (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (*.f64 -1 (/.f64 c (pow.f64 d 2)))) (/.f64 1 d))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (neg.f64 (/.f64 c (*.f64 d d)))) (/.f64 1 d))
(fma.f64 -1 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 -1 d))
(+.f64 (*.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d))) (/.f64 -1 d))
(fma.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d)) (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 -1 (/.f64 c (*.f64 d d)) (neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 -1 d))
(+.f64 (-.f64 (*.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 -1 d))
(-.f64 (fma.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d)) (/.f64 -1 d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(/.f64 -1 d)
(-.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(-.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 1 d))
(fma.f64 -1 (/.f64 c (*.f64 d d)) (/.f64 -1 d))
(-.f64 (/.f64 -1 d) (/.f64 c (*.f64 d d)))
(*.f64 (+.f64 1 (/.f64 c d)) (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (*.f64 -1 (/.f64 c (pow.f64 d 2)))) (/.f64 1 d))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (neg.f64 (/.f64 c (*.f64 d d)))) (/.f64 1 d))
(fma.f64 -1 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 -1 d))
(+.f64 (*.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d))) (/.f64 -1 d))
(fma.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d)) (/.f64 -1 d))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 c c) (pow.f64 d 3)) (fma.f64 -1 (/.f64 c (*.f64 d d)) (neg.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4))))) (/.f64 1 d))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 c (/.f64 (pow.f64 d 3) c))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 -1 d))
(+.f64 (-.f64 (*.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d))) (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (/.f64 -1 d))
(-.f64 (fma.f64 (/.f64 c (*.f64 d d)) (-.f64 -1 (/.f64 c d)) (/.f64 -1 d)) (/.f64 (pow.f64 c 3) (pow.f64 d 4)))
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 d c) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(*.f64 c a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 a d) (*.f64 c a))
(*.f64 (+.f64 d c) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 (+.f64 d c) a)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 c d) a)
0.2b
(/.f64 1 (/.f64 (-.f64 c d) a))
6.4b
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
Compiler

Compiled 48 to 14 computations (70.8% saved)

series13.0ms (0.3%)

Counts
3 → 96
Calls

27 calls:

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

rewrite109.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
970×prod-diff_binary64
391×fma-def_binary64
224×log-div_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
125421
2405621
Stop Event
node limit
Counts
3 → 246
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
(/.f64 1 (/.f64 (-.f64 c d) a))
(/.f64 (-.f64 c d) a)
Outputs
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(2) ((x neg.f64 (/.f64 (-.f64 c d) (neg.f64 a)))))) (#(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 c d) 3) (pow.f64 a 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 fma.f64 c (/.f64 1 a) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 c a) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 c a)) (cbrt.f64 (/.f64 c a))) (cbrt.f64 (/.f64 c a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 (/.f64 c a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) a) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) a) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 c (cbrt.f64 a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 c) (cbrt.f64 a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 c (sqrt.f64 a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 c) (sqrt.f64 a)) (neg.f64 (/.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (sqrt.f64 a)) (/.f64 (sqrt.f64 c) (sqrt.f64 a)) (neg.f64 (/.f64 d a)))))))

simplify82.0ms (2%)

Algorithm
egg-herbie
Rules
791×fma-neg_binary64
661×associate-*l*_binary64
638×cancel-sign-sub-inv_binary64
434×associate-/l/_binary64
431×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0501200
11411134
24441029
32142993
47802993
Stop Event
node limit
Counts
342 → 273
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 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 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(*.f64 -1 (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(*.f64 -1 (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(*.f64 -1 (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(*.f64 -1 (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
Outputs
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 a d) (*.f64 c a))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (*.f64 c a) (*.f64 a d))
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(fma.f64 a d (*.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d)))
(*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a))
(-.f64 (*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (*.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))))
(-.f64 (*.f64 (*.f64 c (/.f64 a (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a)) (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (*.f64 a (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(fma.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)) (*.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (-.f64 -1 (/.f64 c d))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 a (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (+.f64 (/.f64 d c) 1) (/.f64 a c))
(*.f64 (/.f64 a c) (+.f64 1 (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (*.f64 (/.f64 a c) (/.f64 d c)) (+.f64 (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (/.f64 a c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (/.f64 d (/.f64 c d)))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (*.f64 (/.f64 d c) d))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (/.f64 a c) (+.f64 (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (+.f64 (*.f64 (/.f64 a c) (/.f64 d c)) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (/.f64 d (/.f64 c d))))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (*.f64 (+.f64 1 (/.f64 d c)) (*.f64 (/.f64 d c) d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 a (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (+.f64 (/.f64 d c) 1) (/.f64 a c))
(*.f64 (/.f64 a c) (+.f64 1 (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (*.f64 (/.f64 a c) (/.f64 d c)) (+.f64 (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (/.f64 a c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (/.f64 d (/.f64 c d)))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (*.f64 (/.f64 d c) d))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (/.f64 a c) (+.f64 (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (+.f64 (*.f64 (/.f64 a c) (/.f64 d c)) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (/.f64 d (/.f64 c d))))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (*.f64 (+.f64 1 (/.f64 d c)) (*.f64 (/.f64 d c) d)))))
(/.f64 a c)
(+.f64 (/.f64 a c) (/.f64 (*.f64 a d) (pow.f64 c 2)))
(+.f64 (/.f64 a c) (/.f64 a (/.f64 (*.f64 c c) d)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (+.f64 (/.f64 d c) 1) (/.f64 a c))
(*.f64 (/.f64 a c) (+.f64 1 (/.f64 d c)))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))))
(+.f64 (*.f64 (/.f64 a c) (/.f64 d c)) (+.f64 (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (/.f64 a c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (/.f64 d (/.f64 c d)))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (*.f64 (/.f64 d c) d))))
(+.f64 (/.f64 a c) (+.f64 (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4)) (+.f64 (/.f64 (*.f64 a d) (pow.f64 c 2)) (/.f64 (*.f64 a (pow.f64 d 2)) (pow.f64 c 3)))))
(+.f64 (/.f64 a c) (+.f64 (+.f64 (/.f64 a (/.f64 (*.f64 c c) d)) (/.f64 a (/.f64 (pow.f64 c 3) (*.f64 d d)))) (/.f64 (*.f64 a (pow.f64 d 3)) (pow.f64 c 4))))
(+.f64 (/.f64 a c) (+.f64 (*.f64 (/.f64 a (pow.f64 c 3)) (*.f64 d d)) (+.f64 (*.f64 (/.f64 a c) (/.f64 d c)) (*.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3)))))
(+.f64 (/.f64 a c) (fma.f64 (/.f64 a (pow.f64 c 4)) (pow.f64 d 3) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (/.f64 d (/.f64 c d))))))
(+.f64 (/.f64 a c) (*.f64 (/.f64 a (*.f64 c c)) (+.f64 d (*.f64 (+.f64 1 (/.f64 d c)) (*.f64 (/.f64 d c) d)))))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d)))
(*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a))
(-.f64 (*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (*.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))))
(-.f64 (*.f64 (*.f64 c (/.f64 a (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a)) (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (*.f64 a (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(fma.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)) (*.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (-.f64 -1 (/.f64 c d))))
(*.f64 -1 (/.f64 a d))
(neg.f64 (/.f64 a d))
(/.f64 (neg.f64 a) d)
(+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))
(fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a))))
(-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d)))
(*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2)))))
(fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a)))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a))
(-.f64 (*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (*.f64 a (/.f64 c (/.f64 (pow.f64 d 3) c))))
(-.f64 (*.f64 (*.f64 c (/.f64 a (*.f64 d d))) (-.f64 -1 (/.f64 c d))) (/.f64 a d))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) a) (pow.f64 d 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 d 3))) (+.f64 (*.f64 -1 (/.f64 a d)) (*.f64 -1 (/.f64 (*.f64 c a) (pow.f64 d 2))))))
(fma.f64 -1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 d 4) a)) (fma.f64 -1 (/.f64 (*.f64 c c) (/.f64 (pow.f64 d 3) a)) (fma.f64 -1 (/.f64 a d) (neg.f64 (/.f64 c (/.f64 (*.f64 d d) a))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) d) (*.f64 (/.f64 a d) (/.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (pow.f64 d 3)) a)) (/.f64 a (/.f64 (pow.f64 d 4) (pow.f64 c 3))))
(-.f64 (*.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d))) (*.f64 a (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 d 4)) (/.f64 c (/.f64 (pow.f64 d 3) c)))))
(fma.f64 (/.f64 a d) (-.f64 -1 (/.f64 c d)) (*.f64 (/.f64 a (/.f64 (pow.f64 d 3) (*.f64 c c))) (-.f64 -1 (/.f64 c d))))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(/.f64 a (-.f64 c d))
(*.f64 -1 (/.f64 d a))
(neg.f64 (/.f64 d a))
(/.f64 (neg.f64 d) a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(/.f64 c a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(*.f64 -1 (/.f64 d a))
(neg.f64 (/.f64 d a))
(/.f64 (neg.f64 d) a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(*.f64 -1 (/.f64 d a))
(neg.f64 (/.f64 d a))
(/.f64 (neg.f64 d) a)
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))
(+.f64 (*.f64 -1 (/.f64 d a)) (/.f64 c a))
(fma.f64 -1 (/.f64 d a) (/.f64 c a))
(-.f64 (/.f64 c a) (/.f64 d a))

eval128.0ms (3.2%)

Compiler

Compiled 11408 to 3790 computations (66.8% saved)

prune71.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4015406
Fresh000
Picked101
Done246
Total4049413
Error
0b
Counts
413 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
6.3b
(*.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))
6.5b
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 (/.f64 c a) (/.f64 d a))))
9.0b
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (neg.f64 d) a)))
9.0b
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 (neg.f64 a) d))
6.4b
(/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (-.f64 c d) a))
0.3b
(/.f64 (+.f64 c d) (/.f64 1 a))
3.3b
(*.f64 d a)
0.1b
(+.f64 (*.f64 c a) (*.f64 a d))
0.1b
(*.f64 a (+.f64 c d))
Compiler

Compiled 129 to 82 computations (36.4% saved)

regimes192.0ms (4.7%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(/.f64 (+.f64 c d) (/.f64 1 a))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 (neg.f64 a) d))
(/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (-.f64 c d) a))
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (neg.f64 d) a)))
(*.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 (/.f64 c a) (/.f64 d a))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))
(fma.f64 d a (*.f64 c a))
(fma.f64 d a (*.f64 a (+.f64 b c)))
Outputs
(fma.f64 d a (*.f64 c a))
Calls

8 calls:

76.0ms
(+.f64 (+.f64 b c) d)
58.0ms
(+.f64 b c)
9.0ms
d
9.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
9.0ms
(+.f64 b c)
Results
ErrorSegmentsBranch
0b1a
0b1b
0b1c
0b1d
0b1(*.f64 a (+.f64 (+.f64 b c) d))
0b1(+.f64 (+.f64 b c) d)
0b1(+.f64 b c)
0b1(+.f64 b c)
Compiler

Compiled 232 to 97 computations (58.2% saved)

regimes73.0ms (1.8%)

Accuracy

Total -9.3b remaining (-16920%)

Threshold costs -9.3b (-16920%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(/.f64 (+.f64 c d) (/.f64 1 a))
(+.f64 (*.f64 c a) (*.f64 a d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 (+.f64 d b) a) (*.f64 c a))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 (neg.f64 a) d))
(/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (-.f64 c d) a))
(/.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) a) (-.f64 c d))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (neg.f64 d) a)))
(*.f64 a (*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 c d))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (/.f64 (-.f64 c d) a)))
(*.f64 (*.f64 (-.f64 c d) (+.f64 c d)) (/.f64 1 (-.f64 (/.f64 c a) (/.f64 d a))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a c) (*.f64 a d)))
Outputs
(*.f64 a (+.f64 c d))
Calls

8 calls:

10.0ms
b
9.0ms
(+.f64 b c)
9.0ms
c
9.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
8.0ms
d
Results
ErrorSegmentsBranch
0.1b1a
0.1b1b
0.1b1c
0.1b1d
0.1b1(*.f64 a (+.f64 (+.f64 b c) d))
0.1b1(+.f64 (+.f64 b c) d)
0.1b1(+.f64 b c)
0.1b1(+.f64 b c)
Compiler

Compiled 218 to 94 computations (56.9% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11319
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 d a (*.f64 c a))
(*.f64 a (+.f64 c d))
(*.f64 d a)
Outputs
(fma.f64 d a (*.f64 c a))
(fma.f64 d a (*.f64 a c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 d a)
Compiler

Compiled 26 to 17 computations (34.6% saved)

soundness0.0ms (0%)

end39.0ms (1%)

Compiler

Compiled 38 to 21 computations (44.7% saved)

Profiling

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