Details

Time bar (total: 9.8s)

analyze262.0ms (2.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
25%74.9%0.1%8
35.9%64%0.1%9
47.6%52.3%0.1%10
54.8%45.1%0.1%11
62.8%37.1%0.1%12
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.2s (22.5%)

Results
1.0s6017×body256valid
606.0ms1402×body1024valid
306.0ms831×body512valid
149.0ms711×body256invalid
53.0msbody2048valid
15.0ms53×body512invalid
7.0ms20×body1024invalid

preprocess25.0ms (0.3%)

Algorithm
egg-herbie
Rules
54×associate-/l*_binary64
47×*-commutative_binary64
38×associate-/r/_binary64
24×associate-*l/_binary64
20×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
13848
28348
317648
425548
529148
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) z)
(/.f64 (*.f64 z (/.f64 (sin.f64 y) y)) x)
(/.f64 (*.f64 x (/.f64 (sin.f64 z) z)) y)
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 y (/.f64 (sin.f64 x) x)) z)
(/.f64 y (/.f64 z (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 z y))
(*.f64 (/.f64 (sin.f64 x) z) (/.f64 y x))
(*.f64 y (/.f64 (/.f64 (sin.f64 x) x) z))
(/.f64 (*.f64 z (/.f64 (sin.f64 y) y)) x)
(/.f64 z (/.f64 x (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 z x) (/.f64 (sin.f64 y) y))
(/.f64 z (*.f64 y (/.f64 x (sin.f64 y))))
(*.f64 (/.f64 z (*.f64 x y)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x (/.f64 (sin.f64 z) z)) y)
(/.f64 x (/.f64 y (/.f64 (sin.f64 z) z)))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 z) z))
(*.f64 (/.f64 (sin.f64 z) z) (/.f64 x y))
(*.f64 (sin.f64 z) (/.f64 (/.f64 x y) z))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22512
35012
47112
58112
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))

eval1.0ms (0%)

Compiler

Compiled 19 to 10 computations (47.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
2.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
2.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.3b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.4b
(*.f64 z (/.f64 y x))
6.6b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series16.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.0ms
z
@-inf
(*.f64 z (/.f64 y x))
1.0ms
y
@-inf
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
1.0ms
y
@inf
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
1.0ms
x
@0
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))

rewrite75.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
520×log-prod_binary64
399×exp-prod_binary64
359×prod-exp_binary64
303×pow-prod-down_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117219
2249819
Stop Event
node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (/.f64 (sin.f64 y) z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (/.f64 (sin.f64 y) z)) -2)) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 z (neg.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (sin.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x)) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y x)) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) -2) (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (/.f64 y x)) -1/2) (/.f64 (sin.f64 y) (sqrt.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (*.f64 z (/.f64 y x)))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) z) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 y x) (/.f64 (sin.f64 y) z)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) (/.f64 (sin.f64 y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (/.f64 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(pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (/.f64 (sin.f64 y) z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (*.f64 z (/.f64 y x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 (*.f64 z (/.f64 y x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (sin.f64 y) z)) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 x y) z)) (*.f64 (log.f64 (sin.f64 y)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (/.f64 y x)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (/.f64 y x))))) (sqrt.f64 (log.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y z)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) 1) (*.f64 (log.f64 z) 1)))))))

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Rules
751×associate-/r/_binary64
680×fma-def_binary64
477×associate-/l/_binary64
440×associate-*r/_binary64
392×times-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031730
176730
2204730
3578730
42601724
55936720
66742720
Stop Event
node limit
Counts
178 → 116
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 y z) (*.f64 -1/6 y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (/.f64 x (/.f64 z y))) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))
(fma.f64 x (*.f64 (*.f64 (/.f64 y z) y) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 (/.f64 (pow.f64 y 6) z) (*.f64 x -1/5040) (fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))))
(fma.f64 x (*.f64 (/.f64 y z) (*.f64 -1/6 y)) (fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/6 (*.f64 y y)))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
2.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series8.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
1.0ms
y
@-inf
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
y
@-inf
(/.f64 (sin.f64 y) y)
1.0ms
x
@inf
(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms
x
@-inf
(*.f64 x (/.f64 (sin.f64 y) y))

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
525×log-prod_binary64
402×exp-prod_binary64
372×prod-exp_binary64
318×pow-prod-down_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117227
2251127
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (sin.f64 y) y)
(*.f64 x (/.f64 (sin.f64 y) y))
Outputs
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simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
760×distribute-rgt-out_binary64
708×fma-def_binary64
531×associate-*l/_binary64
460×associate-*l*_binary64
447×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048774
1127770
2338761
31035759
44234751
57234751
Stop Event
node limit
Counts
221 → 182
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 (/.f64 y (/.f64 z y)) (*.f64 x -1/6) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 (/.f64 y (/.f64 z y)) (*.f64 x -1/6) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/120) -1/6)))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 (/.f64 y (/.f64 z y)) (*.f64 x -1/6) (/.f64 x z))))
(+.f64 (/.f64 x z) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (*.f64 (/.f64 x z) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/120) -1/6))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 y (*.f64 y -1/6)) x x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 x (fma.f64 y (*.f64 y -1/6) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(+.f64 x (*.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6)))))
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(+.f64 (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x) (*.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -1/6)))))
(+.f64 x (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (*.f64 1/120 (pow.f64 y 4))))))
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1))))
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

eval102.0ms (1%)

Compiler

Compiled 4011 to 1443 computations (64% saved)

prune51.0ms (0.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2908298
Fresh000
Picked011
Done011
Total29010300
Error
0b
Counts
300 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
12.3b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
11.9b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
33.2b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 3))
12.4b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
12.9b
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
27.2b
(/.f64 x z)
2.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.9b
(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
9.0b
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
10.5b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
Compiler

Compiled 204 to 136 computations (33.3% saved)

localize53.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (sin.f64 y))
0.1b
(*.f64 z (/.f64 y (sin.f64 y)))
2.9b
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
Compiler

Compiled 37 to 10 computations (73% saved)

series13.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(/.f64 y (sin.f64 y))
1.0ms
y
@-inf
(*.f64 z (/.f64 y (sin.f64 y)))
1.0ms
y
@-inf
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
1.0ms
z
@inf
(*.f64 z (/.f64 y (sin.f64 y)))
1.0ms
y
@-inf
(/.f64 y (sin.f64 y))

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
520×log-prod_binary64
399×exp-prod_binary64
359×prod-exp_binary64
303×pow-prod-down_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117227
2249827
Stop Event
node limit
Counts
3 → 158
Calls
Call 1
Inputs
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 z y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 y) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (*.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 z y) (sin.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 z y)) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 y (sin.f64 y))) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) (*.f64 (log.f64 z) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (sin.f64 y))))) (sqrt.f64 (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 y) y) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 y))) (*.f64 (log.f64 y) 1)))))))

simplify107.0ms (1.1%)

Algorithm
egg-herbie
Rules
519×associate-+l+_binary64
435×cancel-sign-sub-inv_binary64
392×fma-neg_binary64
317×fma-def_binary64
288×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065796
1189786
2632774
32603764
Stop Event
node limit
Counts
222 → 183
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
z
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z))))) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z)))))))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))))
(fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
z
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 1/6 (*.f64 z (*.f64 y y)) z)
(*.f64 (fma.f64 (*.f64 y y) 1/6 1) z)
(*.f64 z (fma.f64 y (*.f64 y 1/6) 1))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))))))
(+.f64 (fma.f64 1/6 (*.f64 z (*.f64 y y)) z) (neg.f64 (*.f64 (pow.f64 y 4) (*.f64 z -7/360))))
(-.f64 (*.f64 (fma.f64 (*.f64 y y) 1/6 1) z) (*.f64 (pow.f64 y 4) (*.f64 z -7/360)))
(fma.f64 z (*.f64 y (*.f64 y 1/6)) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z))
(*.f64 z (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z))))) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z)))))))
(fma.f64 1/6 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 -1/5040 z (fma.f64 1/6 (*.f64 z -7/360) (*.f64 z 1/720)))) (+.f64 z (neg.f64 (*.f64 (pow.f64 y 4) (*.f64 z -7/360))))))
(fma.f64 1/6 (*.f64 y (*.f64 y z)) (-.f64 (-.f64 z (*.f64 (pow.f64 y 4) (*.f64 z -7/360))) (*.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (fma.f64 z 1/720 (*.f64 z -7/2160))))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 y 1/6)) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z)) (*.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (*.f64 z -1/540))))
(-.f64 (*.f64 z (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))) (*.f64 (pow.f64 y 6) (*.f64 z -31/15120)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (*.f64 y y) 1/6 (*.f64 (pow.f64 y 4) 7/360)))
(fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) 1))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (*.f64 y y) 1/6 (*.f64 (pow.f64 y 4) 7/360))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) 1)))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.8b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
7.6b
(/.f64 (sin.f64 y) (*.f64 y z))
Compiler

Compiled 25 to 7 computations (72% saved)

series6.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (sin.f64 y) (*.f64 y z))
1.0ms
y
@0
(/.f64 (sin.f64 y) (*.f64 y z))
1.0ms
y
@inf
(/.f64 (sin.f64 y) (*.f64 y z))
0.0ms
z
@0
(/.f64 (sin.f64 y) (*.f64 y z))
0.0ms
z
@inf
(/.f64 (sin.f64 y) (*.f64 y z))

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
947×pow1_binary64
875×add-log-exp_binary64
875×log1p-expm1-u_binary64
875×expm1-log1p-u_binary64
855×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116621
2229921
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) z) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y z))) (/.f64 (sin.f64 y) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 (sin.f64 y) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))))))

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Rules
976×fma-def_binary64
534×distribute-lft-out_binary64
446×distribute-rgt-out_binary64
401×associate-*l/_binary64
391×associate-*r/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
042554
1109554
2274554
3719552
42954545
55516544
66698544
Stop Event
node limit
Counts
105 → 80
Calls
Call 1
Inputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (/.f64 1 z))
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (/.f64 1 z))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z))
(fma.f64 (/.f64 (*.f64 -1/6 y) z) y (/.f64 1 z))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 (/.f64 1/120 z) (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z)))
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 (/.f64 (*.f64 -1/6 y) z) y (/.f64 1 z)))
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/6 (/.f64 y (/.f64 z y)) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (fma.f64 (pow.f64 y 6) (/.f64 -1/5040 z) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 (pow.f64 y 6) (/.f64 -1/5040 z) (/.f64 1 z))))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 y y) x) z) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 -1/6 x) (/.f64 z y)) y (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 x (/.f64 y z))) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 y y) x) z) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 x (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (*.f64 (pow.f64 y 4) (/.f64 1/120 z)))))
(fma.f64 x (*.f64 (*.f64 y (/.f64 y z)) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 y y) x) z) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 -1/6 (*.f64 (/.f64 y (/.f64 z y)) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (/.f64 x z))))
(+.f64 (/.f64 x z) (fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (*.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (pow.f64 y 4) (/.f64 1/120 z))))))
(+.f64 (/.f64 x z) (*.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (*.f64 y (/.f64 y z)) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.9b
(/.f64 z (/.f64 x y))
6.6b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series6.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
0.0ms
y
@0
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
0.0ms
y
@-inf
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
0.0ms
y
@inf
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
0.0ms
x
@-inf
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
572×log-prod_binary64
449×exp-prod_binary64
299×pow-prod-down_binary64
249×pow2_binary64
222×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117819
2276419
Stop Event
node limit
Counts
2 → 118
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 z (/.f64 x y))
Outputs
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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 y (/.f64 z x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (sin.f64 y) (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 z x))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) z) -2)) (cbrt.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) (sqrt.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) x) (/.f64 (sqrt.f64 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) x) (/.f64 (cbrt.f64 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) -2) (/.f64 z (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) -1/2) (/.f64 z (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) z) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 x y) z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (/.f64 z x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (/.f64 z x))))) (sqrt.f64 (log.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (/.f64 z x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 z x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 z x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z x))) 1) 1))))))

simplify90.0ms (0.9%)

Algorithm
egg-herbie
Rules
751×associate-/r/_binary64
680×fma-def_binary64
477×associate-/l/_binary64
440×associate-*r/_binary64
392×times-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031730
176730
2204730
3578730
42601724
55936720
66742720
Stop Event
node limit
Counts
190 → 128
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 y z) (*.f64 -1/6 y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (/.f64 x (/.f64 z y))) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))
(fma.f64 x (*.f64 (*.f64 (/.f64 y z) y) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 (/.f64 (pow.f64 y 6) z) (*.f64 x -1/5040) (fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))))
(fma.f64 x (*.f64 (/.f64 y z) (*.f64 -1/6 y)) (fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/6 (*.f64 y y)))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3)
5.4b
(*.f64 z (/.f64 y x))
6.6b
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
17.1b
(cbrt.f64 (*.f64 z (/.f64 y x)))
Compiler

Compiled 42 to 13 computations (69% saved)

series34.0ms (0.3%)

Counts
3 → 36
Calls

27 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(cbrt.f64 (*.f64 z (/.f64 y x)))
3.0ms
y
@-inf
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
3.0ms
x
@-inf
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
3.0ms
z
@-inf
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
1.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3)

rewrite133.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
589×log-prod_binary64
352×pow-prod-down_binary64
280×pow2_binary64
224×pow-unpow_binary64
196×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
124028
2295228
Stop Event
node limit
Counts
3 → 144
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 z (/.f64 y x)))
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) (pow.f64 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (/.f64 (sin.f64 y) z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 z y) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 z y) x))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 z y) x) 1/6) (pow.f64 (/.f64 (*.f64 z y) x) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 z y) x) 5/6) (pow.f64 (/.f64 (*.f64 z y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) x)) 2) 1) (cbrt.f64 (/.f64 (*.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) x)) 2) (cbrt.f64 z)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z y) x)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 z y) x)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 z y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 z y) x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 z y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 z y) x))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 z y) x))) 3/2) 2))))))

simplify80.0ms (0.8%)

Algorithm
egg-herbie
Rules
751×associate-/r/_binary64
680×fma-def_binary64
464×associate-/l/_binary64
448×associate-*r/_binary64
392×times-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
030478
175478
2203478
3580478
42621472
55950468
66763468
Stop Event
node limit
Counts
180 → 153
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))
(fma.f64 x (/.f64 y (/.f64 (/.f64 z -1/6) y)) (/.f64 x z))
(fma.f64 (/.f64 x z) (*.f64 -1/6 (*.f64 y y)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 y z) (+.f64 (*.f64 1/120 (pow.f64 y 3)) (*.f64 -1/6 y))) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 (*.f64 y y) z) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 -1/5040 z) (pow.f64 y 6))) (fma.f64 (*.f64 1/120 (/.f64 x z)) (pow.f64 y 4) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/6 (*.f64 y y))) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))

eval154.0ms (1.6%)

Compiler

Compiled 8479 to 3255 computations (61.6% saved)

prune149.0ms (1.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5834587
Fresh123
Picked101
Done336
Total5889597
Error
0b
Counts
597 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
27.2b
(/.f64 x z)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
13.1b
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
11.9b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
27.3b
(*.f64 (/.f64 1 z) x)
12.4b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
11.3b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
9.0b
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
10.5b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
Compiler

Compiled 158 to 104 computations (34.2% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 z (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
1.0ms
x
@inf
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
0.0ms
x
@-inf
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
0.0ms
y
@inf
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
0.0ms
y
@0
(/.f64 z (/.f64 (sin.f64 y) y))

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
572×log-prod_binary64
449×exp-prod_binary64
299×pow-prod-down_binary64
249×pow2_binary64
222×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117821
2276421
Stop Event
node limit
Counts
2 → 118
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 z (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 z y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) (sin.f64 y))) 1) 1))))))

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
492×associate-+l+_binary64
433×cancel-sign-sub-inv_binary64
383×fma-neg_binary64
363×associate-+r+_binary64
288×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054744
1163736
2567728
32381722
Stop Event
node limit
Counts
178 → 135
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
z
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z))))) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z)))))))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 (*.f64 y z) (sin.f64 y))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))
(fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (*.f64 x (pow.f64 y 6)) z) (fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (/.f64 (*.f64 x (*.f64 y y)) z) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 x (/.f64 z (pow.f64 y 6))) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))))
(fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
z
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) z)
(fma.f64 1/6 (*.f64 z (*.f64 y y)) z)
(fma.f64 1/6 (*.f64 y (*.f64 y z)) z)
(*.f64 z (fma.f64 (*.f64 y y) 1/6 1))
(fma.f64 (*.f64 y y) (*.f64 z 1/6) z)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))))))
(+.f64 (fma.f64 1/6 (*.f64 z (*.f64 y y)) z) (neg.f64 (*.f64 (pow.f64 y 4) (*.f64 z -7/360))))
(-.f64 (fma.f64 1/6 (*.f64 y (*.f64 y z)) z) (*.f64 (pow.f64 y 4) (*.f64 z -7/360)))
(fma.f64 z (*.f64 y (*.f64 y 1/6)) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z))
(*.f64 z (-.f64 (fma.f64 (*.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) -7/360)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -1/5040 z) (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z))) (*.f64 1/720 z))))) (+.f64 z (*.f64 -1 (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/120 z) (*.f64 -1/36 z)))))))
(fma.f64 1/6 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (pow.f64 y 6) (fma.f64 -1/5040 z (fma.f64 1/6 (*.f64 z -7/360) (*.f64 z 1/720)))) (+.f64 z (neg.f64 (*.f64 (pow.f64 y 4) (*.f64 z -7/360))))))
(fma.f64 1/6 (*.f64 y (*.f64 y z)) (-.f64 (-.f64 z (*.f64 (pow.f64 y 4) (*.f64 z -7/360))) (*.f64 (pow.f64 y 6) (fma.f64 z -1/5040 (fma.f64 z 1/720 (*.f64 z -7/2160))))))
(-.f64 (fma.f64 z (*.f64 y (*.f64 y 1/6)) (fma.f64 (pow.f64 y 4) (*.f64 z 7/360) z)) (*.f64 (pow.f64 y 6) (fma.f64 z -7/2160 (*.f64 z 1/840))))
(-.f64 (*.f64 z (-.f64 (fma.f64 (*.f64 y y) 1/6 1) (*.f64 (pow.f64 y 4) -7/360))) (*.f64 (pow.f64 y 6) (*.f64 z -31/15120)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 y z) (sin.f64 y))
(/.f64 y (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 y (sin.f64 y)) z)
(*.f64 z (/.f64 y (sin.f64 y)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 z) x)
Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (/.f64 1 z) x)
1.0ms
x
@-inf
(*.f64 (/.f64 1 z) x)
0.0ms
z
@-inf
(*.f64 (/.f64 1 z) x)
0.0ms
x
@0
(*.f64 (/.f64 1 z) x)
0.0ms
x
@inf
(*.f64 (/.f64 1 z) x)

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
534×pow1_binary64
511×add-sqr-sqrt_binary64
492×add-log-exp_binary64
492×log1p-expm1-u_binary64
492×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
11184
213864
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (/.f64 1 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
saturated
Counts
45 → 21
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize69.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) z)
12.1b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series6.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
0.0ms
z
@-inf
(/.f64 (sin.f64 y) z)
0.0ms
y
@0
(/.f64 (sin.f64 y) z)
0.0ms
z
@0
(/.f64 (sin.f64 y) z)
0.0ms
y
@-inf
(/.f64 (sin.f64 y) z)

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
521×log-prod_binary64
388×exp-prod_binary64
376×pow-prod-down_binary64
250×pow2_binary64
187×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117518
2259118
Stop Event
node limit
Counts
2 → 122
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/.f64 (sin.f64 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sin.f64 y) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sin.f64 y) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 z (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 z (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 (sin.f64 y) (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (/.f64 (sin.f64 y) z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) 1) (log.f64 (/.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (log.f64 y) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) (cbrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (sin.f64 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (sin.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) z))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) z)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (sin.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 z) 1)))))))

simplify152.0ms (1.6%)

Algorithm
egg-herbie
Rules
786×distribute-lft-out_binary64
732×fma-def_binary64
591×associate-*l*_binary64
474×unswap-sqr_binary64
457×associate-*r/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
046554
1123554
2330554
3954554
43638548
55982545
67140545
Stop Event
node limit
Counts
162 → 137
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))))
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))
(fma.f64 x (*.f64 -1/6 (*.f64 (/.f64 y z) y)) (/.f64 x z))
(fma.f64 x (/.f64 -1/6 (/.f64 (/.f64 z y) y)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z)))
(fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (*.f64 -1/6 (*.f64 (/.f64 y z) y))) (/.f64 x z))
(fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 -1/6 (/.f64 (/.f64 z y) y))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 x (/.f64 (pow.f64 y 4) z)) (/.f64 x z))))
(fma.f64 (/.f64 1/120 z) (*.f64 x (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (/.f64 x z))))
(fma.f64 (/.f64 x z) (*.f64 1/120 (pow.f64 y 4)) (fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6))))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (*.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 3)) (+.f64 (*.f64 -1/6 y) (*.f64 -1/5040 (pow.f64 y 5)))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 y z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z)))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (/.f64 y z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 y z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (/.f64 y z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 7) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (/.f64 y z))))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 (/.f64 -1/5040 z) (pow.f64 y 7) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (/.f64 y z))))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 (pow.f64 y 7) (/.f64 -1/5040 z) (fma.f64 1/120 (/.f64 (pow.f64 y 5) z) (/.f64 y z))))
(fma.f64 -1/6 (/.f64 (pow.f64 y 3) z) (fma.f64 (pow.f64 y 5) (/.f64 1/120 z) (fma.f64 (pow.f64 y 7) (/.f64 -1/5040 z) (/.f64 y z))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) z)
2.8b
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
8.2b
(/.f64 (/.f64 (sin.f64 y) z) y)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (/.f64 (sin.f64 y) z) y)
0.0ms
y
@0
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
0.0ms
y
@-inf
(/.f64 (/.f64 (sin.f64 y) z) y)
0.0ms
y
@inf
(/.f64 (/.f64 (sin.f64 y) z) y)
0.0ms
z
@-inf
(/.f64 (/.f64 (sin.f64 y) z) y)

rewrite115.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
511×log-prod_binary64
398×prod-exp_binary64
386×exp-prod_binary64
339×pow-prod-down_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117221
2248921
Stop Event
node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 y) z) y)
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (sin.f64 y) z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 (/.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) 1) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 (sin.f64 y) z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (/.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (/.f64 (sin.f64 y) z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (sin.f64 y)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y z) (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 z (sin.f64 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z (sin.f64 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (sin.f64 y) z)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 (sin.f64 y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) z)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (/.f64 (sin.f64 y) z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (/.f64 (sin.f64 y) z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 y (/.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (sin.f64 y) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1)))))))

simplify134.0ms (1.4%)

Algorithm
egg-herbie
Rules
976×fma-def_binary64
527×distribute-lft-out_binary64
446×distribute-rgt-out_binary64
402×associate-*l/_binary64
395×associate-*r/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043734
1111734
2276734
3721732
42962725
55525724
66699724
Stop Event
node limit
Counts
166 → 123
Calls
Call 1
Inputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 1 z)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (/.f64 1 z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (/.f64 1 z))
(fma.f64 -1/6 (*.f64 (/.f64 y z) y) (/.f64 1 z))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z))
(fma.f64 (/.f64 y z) (*.f64 -1/6 y) (/.f64 1 z))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z)))
(fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 -1/6 (*.f64 (/.f64 y z) y) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z)))
(fma.f64 (/.f64 1/120 z) (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z)))
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 (/.f64 y z) (*.f64 -1/6 y) (/.f64 1 z)))
(fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (/.f64 1 z)))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 y 4) z)) (/.f64 1 z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 -1/6 (/.f64 (*.f64 y y) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 (/.f64 y z) y) (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (/.f64 1 z))))
(fma.f64 (/.f64 1/120 z) (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 (/.f64 -1/5040 z) (pow.f64 y 6) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (fma.f64 (pow.f64 y 6) (/.f64 -1/5040 z) (/.f64 1 z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 (pow.f64 y 4) (/.f64 1/120 z) (fma.f64 (pow.f64 y 6) (/.f64 -1/5040 z) (/.f64 1 z))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (*.f64 y y) (/.f64 x z)) (/.f64 x z))
(fma.f64 (/.f64 y z) (*.f64 -1/6 (*.f64 y x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 x (/.f64 y z))) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 x (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (*.f64 (pow.f64 y 4) (/.f64 1/120 z)))))
(fma.f64 x (*.f64 (*.f64 y (/.f64 y z)) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (/.f64 x z))))
(+.f64 (/.f64 x z) (fma.f64 1/120 (*.f64 (pow.f64 y 4) (/.f64 x z)) (*.f64 x (fma.f64 -1/6 (*.f64 y (/.f64 y z)) (*.f64 (pow.f64 y 6) (/.f64 -1/5040 z))))))
(+.f64 (/.f64 x z) (*.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (*.f64 y (/.f64 y z)) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (*.f64 -1/6 (*.f64 y y)) (*.f64 -1/5040 (pow.f64 y 6))))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 -1/6 (*.f64 y y)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 y) x)
2.7b
(/.f64 (*.f64 (sin.f64 y) x) z)
8.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series12.0ms (0.1%)

Counts
3 → 44
Calls

24 calls:

TimeVariablePointExpression
3.0ms
y
@0
(*.f64 (sin.f64 y) x)
1.0ms
y
@inf
(/.f64 (*.f64 (sin.f64 y) x) z)
1.0ms
y
@0
(/.f64 (*.f64 (sin.f64 y) x) z)
1.0ms
x
@0
(/.f64 (*.f64 (sin.f64 y) x) z)
0.0ms
z
@0
(/.f64 (*.f64 (sin.f64 y) x) z)

rewrite97.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
531×log-prod_binary64
407×exp-prod_binary64
332×pow-prod-down_binary64
242×pow2_binary64
198×div-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117227
2255327
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (*.f64 (sin.f64 y) x) z)
(*.f64 (sin.f64 y) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 y) x)))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1) 1))))))

simplify122.0ms (1.2%)

Algorithm
egg-herbie
Rules
820×fma-def_binary64
572×associate-/l*_binary64
550×distribute-lft-out_binary64
526×associate-*l/_binary64
500×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
061666
1169661
2485646
31518641
44472622
56680610
67681610
Stop Event
node limit
Counts
190 → 171
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 y x) z)
(+.f64 (/.f64 (*.f64 y x) z) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z))))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z)))))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 y z) (*.f64 x y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (*.f64 x y) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (/.f64 y z) (*.f64 x y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (*.f64 x y) (/.f64 y z)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))))
(fma.f64 (/.f64 1/120 z) (*.f64 x (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 y z) (*.f64 x y)) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z))))
(fma.f64 (/.f64 1/120 z) (*.f64 x (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (*.f64 x y) (/.f64 y z)) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z))))
(fma.f64 -1/6 (*.f64 (*.f64 x y) (/.f64 y z)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 x y) z)
(/.f64 y (/.f64 z x))
(*.f64 x (/.f64 y z))
(+.f64 (/.f64 (*.f64 y x) z) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)))
(+.f64 (/.f64 (*.f64 x y) z) (*.f64 -1/6 (/.f64 (pow.f64 y 3) (/.f64 z x))))
(fma.f64 -1/6 (/.f64 x (/.f64 z (pow.f64 y 3))) (/.f64 y (/.f64 z x)))
(fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (*.f64 x (/.f64 y z)))
(*.f64 x (+.f64 (/.f64 y z) (*.f64 -1/6 (/.f64 (pow.f64 y 3) z))))
(*.f64 (/.f64 x z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z))))
(+.f64 (/.f64 (*.f64 x y) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) (/.f64 z x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 z x)))))
(+.f64 (/.f64 y (/.f64 z x)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 5))) (*.f64 -1/6 (/.f64 x (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 5)) (*.f64 x (/.f64 y z))))
(fma.f64 x (/.f64 y z) (*.f64 x (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) z)) (/.f64 (pow.f64 y 5) (/.f64 z 1/120)))))
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 x z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 (/.f64 x z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (/.f64 (*.f64 y x) z) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 3) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) x) z)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 7) x) z)))))
(+.f64 (/.f64 (*.f64 x y) z) (fma.f64 -1/6 (/.f64 (pow.f64 y 3) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 z x)) (*.f64 -1/5040 (/.f64 (pow.f64 y 7) (/.f64 z x))))))
(+.f64 (fma.f64 -1/6 (/.f64 x (/.f64 z (pow.f64 y 3))) (/.f64 y (/.f64 z x))) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 5))) (*.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 7) z) x))))
(fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (fma.f64 (/.f64 y z) x (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 5)) (*.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 7) z))))))
(fma.f64 x (/.f64 y z) (fma.f64 -1/6 (*.f64 x (/.f64 (pow.f64 y 3) z)) (*.f64 x (+.f64 (/.f64 (pow.f64 y 5) (/.f64 z 1/120)) (*.f64 -1/5040 (/.f64 (pow.f64 y 7) z))))))
(+.f64 (*.f64 (/.f64 x z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (/.f64 x z) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 (/.f64 x z) (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 x y (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))

eval331.0ms (3.4%)

Compiler

Compiled 9470 to 3406 computations (64% saved)

prune225.0ms (2.3%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New6985703
Fresh011
Picked011
Done077
Total69814712
Error
0b
Counts
712 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
13.1b
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
35.9b
(/.f64 (/.f64 (*.f64 y x) z) y)
35.2b
(-.f64 (+.f64 1 (/.f64 x z)) 1)
11.9b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
9.0b
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
33.7b
(*.f64 (/.f64 (/.f64 y z) y) x)
27.2b
(/.f64 x z)
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
27.1b
(/.f64 1 (/.f64 z x))
27.3b
(*.f64 (/.f64 1 z) x)
36.1b
(*.f64 (/.f64 y z) (/.f64 x y))
12.4b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
11.3b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
10.5b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
Compiler

Compiled 202 to 134 computations (33.7% saved)

localize67.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
6.0b
(*.f64 (*.f64 z y) (/.f64 1 x))
6.6b
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
Compiler

Compiled 32 to 15 computations (53.1% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
0.0ms
y
@inf
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
0.0ms
y
@-inf
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
0.0ms
z
@inf
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
0.0ms
z
@-inf
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
592×log-prod_binary64
453×exp-prod_binary64
352×pow-prod-down_binary64
267×pow2_binary64
221×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
120819
2284019
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
(*.f64 (*.f64 z y) (/.f64 1 x))
Outputs
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(2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 (sin.f64 y) (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 y z) 2)) (/.f64 x (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y z)) (/.f64 x (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (/.f64 y x)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (/.f64 y x))))) (sqrt.f64 (log.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y x))) 1) 1))))))

simplify85.0ms (0.9%)

Algorithm
egg-herbie
Rules
751×associate-/r/_binary64
680×fma-def_binary64
477×associate-/l/_binary64
440×associate-*r/_binary64
392×times-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031730
176730
2204730
3578730
42601724
55936720
66742720
Stop Event
node limit
Counts
170 → 108
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 y z) (*.f64 -1/6 y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (/.f64 x (/.f64 z y))) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))
(fma.f64 x (*.f64 (*.f64 (/.f64 y z) y) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 (/.f64 (pow.f64 y 6) z) (*.f64 x -1/5040) (fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))))
(fma.f64 x (*.f64 (/.f64 y z) (*.f64 -1/6 y)) (fma.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) z) (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/6 (*.f64 y y)))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 (/.f64 z x) y)
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.9b
(/.f64 1 (/.f64 z x))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(/.f64 1 (/.f64 z x))
0.0ms
z
@inf
(/.f64 1 (/.f64 z x))
0.0ms
z
@-inf
(/.f64 1 (/.f64 z x))
0.0ms
x
@inf
(/.f64 1 (/.f64 z x))
0.0ms
x
@-inf
(/.f64 1 (/.f64 z x))

rewrite105.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
617×pow1_binary64
571×add-log-exp_binary64
571×log1p-expm1-u_binary64
571×expm1-log1p-u_binary64
557×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11254
216114
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 1 (/.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 z x)) -1) (pow.f64 (sqrt.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
saturated
Counts
59 → 36
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.0b
(*.f64 (/.f64 y z) (/.f64 x y))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
y
@inf
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
y
@-inf
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
z
@inf
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
z
@-inf
(*.f64 (/.f64 y z) (/.f64 x y))

rewrite96.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
961×pow1_binary64
893×add-log-exp_binary64
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
81×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115510
2232810
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(*.f64 (/.f64 y z) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 z y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 y (/.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 y z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (/.f64 y x)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 y (/.f64 y x)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 x y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) (/.f64 x y))))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04144
Stop Event
saturated
Counts
89 → 54
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (/.f64 y z) y) x)
13.8b
(/.f64 (/.f64 y z) y)
Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (/.f64 y z) y)
0.0ms
z
@-inf
(/.f64 (/.f64 y z) y)
0.0ms
z
@0
(/.f64 (/.f64 y z) y)
0.0ms
y
@-inf
(/.f64 (/.f64 y z) y)
0.0ms
y
@inf
(/.f64 (/.f64 y z) y)

rewrite134.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
910×pow1_binary64
844×add-log-exp_binary64
844×log1p-expm1-u_binary64
844×expm1-log1p-u_binary64
824×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115217
2222317
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (/.f64 y z) y)
(*.f64 (/.f64 (/.f64 y z) y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 y z) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) y)) 2) (cbrt.f64 (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 y z) y)) (sqrt.f64 (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y z)) (*.f64 (sqrt.f64 (/.f64 y z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) z) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 y z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (/.f64 y z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (/.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 y z)) 1) (/.f64 (sqrt.f64 (/.f64 y z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 y z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (/.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 y z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 y z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 y z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 y z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 y z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 y z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 y z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (*.f64 (/.f64 y y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 y z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 y) z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (neg.f64 y) z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (/.f64 y y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 (/.f64 y y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 (/.f64 y y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 (/.f64 y y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 (/.f64 y y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (/.f64 y z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 (/.f64 y y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 y z) y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (/.f64 y z) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 (/.f64 y y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (/.f64 y y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 (/.f64 y y) z))))))))

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06240
18240
Stop Event
saturated
Counts
123 → 65
Calls
Call 1
Inputs
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
Outputs
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 1 z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.9b
(-.f64 (+.f64 1 (/.f64 x z)) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (+.f64 1 (/.f64 x z)) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (/.f64 x z)) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 x z)) 1)
0.0ms
z
@-inf
(-.f64 (+.f64 1 (/.f64 x z)) 1)
0.0ms
z
@inf
(-.f64 (+.f64 1 (/.f64 x z)) 1)

rewrite68.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
842×pow1_binary64
788×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11604
223584
Stop Event
node limit
Counts
1 → 62
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 x z)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 x z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 x z) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) (+.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) -1) (/.f64 1 (+.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) (+.f64 (/.f64 x z) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x z) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) (+.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 x z)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) -1) (+.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) -1) (-.f64 (+.f64 1 (/.f64 x z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) (+.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2) -1)) (neg.f64 (+.f64 (/.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x z) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 x z) -1) (+.f64 (/.f64 x z) -1)) (+.f64 (/.f64 x z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 x z) -1) (+.f64 (/.f64 x z) -1))) (-.f64 1 (+.f64 (/.f64 x z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) 2) (cbrt.f64 (+.f64 1 (/.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) (sqrt.f64 (+.f64 1 (/.f64 x z))) -1)))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
saturated
Counts
86 → 62
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
Outputs
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)

eval64.0ms (0.7%)

Compiler

Compiled 3598 to 1323 computations (63.2% saved)

prune95.0ms (1%)

Pruning

24 alts after pruning (13 fresh and 11 done)

PrunedKeptTotal
New31213325
Fresh101
Picked011
Done21012
Total31524339
Error
0b
Counts
339 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
34.5b
(/.f64 x (*.f64 (/.f64 z y) y))
2.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
27.1b
(/.f64 1 (/.f64 z x))
31.5b
(/.f64 y (/.f64 z (/.f64 x y)))
35.2b
(-.f64 (+.f64 1 (/.f64 x z)) 1)
35.6b
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
11.9b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
35.6b
(/.f64 (*.f64 y x) (*.f64 y z))
31.2b
(/.f64 y (*.f64 (/.f64 y x) z))
36.1b
(*.f64 (/.f64 y z) (/.f64 x y))
31.7b
(/.f64 (/.f64 y (/.f64 y x)) z)
36.1b
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
9.7b
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
12.4b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
35.7b
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
36.9b
(/.f64 (/.f64 x y) (/.f64 z y))
9.0b
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
33.7b
(*.f64 (/.f64 (/.f64 y z) y) x)
33.7b
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
27.2b
(/.f64 x z)
32.6b
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
32.1b
(/.f64 y (/.f64 (*.f64 y z) x))
27.3b
(*.f64 (/.f64 1 z) x)
10.5b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
Compiler

Compiled 252 to 164 computations (34.9% saved)

regimes467.0ms (4.8%)

Counts
32 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(*.f64 (/.f64 (/.f64 y z) y) x)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (sin.f64 y) (*.f64 (*.f64 z y) (/.f64 1 x)))
(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) 3))
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) 3))
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Calls

6 calls:

130.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
129.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
73.0ms
z
59.0ms
x
49.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
2.2b1y
0.1b3z
0.9b2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
0.1b3(*.f64 x (/.f64 (sin.f64 y) y))
2.2b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 295 to 124 computations (58% saved)

bsearch223.0ms (2.3%)

Algorithm
binary-search
Steps
TimeLeftRight
111.0ms
1.0468777931324784e-7
3.782524915739235e-7
112.0ms
-1.609460262949987e-22
-4.881514754129411e-24
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes264.0ms (2.7%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(*.f64 (/.f64 (/.f64 y z) y) x)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
Outputs
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Calls

5 calls:

80.0ms
(/.f64 (sin.f64 y) y)
77.0ms
y
40.0ms
(/.f64 (sin.f64 y) y)
28.0ms
x
26.0ms
z
Results
ErrorSegmentsBranch
2.9b1x
2.9b1y
2.9b1z
1.5b2(/.f64 (sin.f64 y) y)
1.5b2(/.f64 (sin.f64 y) y)
Compiler

Compiled 232 to 96 computations (58.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.006425568391971e-299
2.35026563054776e-297
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes138.0ms (1.4%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(*.f64 (/.f64 (/.f64 y z) y) x)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
Outputs
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Calls

5 calls:

35.0ms
(/.f64 (sin.f64 y) y)
35.0ms
(/.f64 (sin.f64 y) y)
26.0ms
z
17.0ms
y
14.0ms
x
Results
ErrorSegmentsBranch
2.9b1x
2.9b1y
2.9b1z
1.7b2(/.f64 (sin.f64 y) y)
1.7b2(/.f64 (sin.f64 y) y)
Compiler

Compiled 200 to 88 computations (56% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.006425568391971e-299
2.35026563054776e-297
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes109.0ms (1.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(*.f64 (/.f64 (/.f64 y z) y) x)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
Outputs
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
Calls

4 calls:

50.0ms
x
27.0ms
(/.f64 (sin.f64 y) y)
16.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
2.9b1x
2.9b1y
2.9b1z
2.9b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 185 to 82 computations (55.7% saved)

regimes81.0ms (0.8%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(*.f64 (/.f64 (/.f64 y z) y) x)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
Outputs
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(/.f64 x z)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
Calls

3 calls:

52.0ms
y
12.0ms
x
12.0ms
z
Results
ErrorSegmentsBranch
9.7b1x
3.5b3y
9.7b1z
Compiler

Compiled 162 to 71 computations (56.2% saved)

bsearch112.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
82.0ms
1.6734385262702222e-96
2.8010422148970806e-88
30.0ms
-0.007115263252903328
-0.0018163428974205835
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes289.0ms (3%)

Counts
19 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(*.f64 (/.f64 (/.f64 y z) y) x)
(*.f64 (/.f64 y z) (/.f64 x y))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 z y) (/.f64 y x)))
(*.f64 (*.f64 (/.f64 y z) (/.f64 1 y)) x)
(*.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 y z) y)) 1) x)
(*.f64 (*.f64 y (*.f64 (/.f64 1 z) (/.f64 1 y))) x)
Outputs
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(/.f64 x z)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
Calls

3 calls:

143.0ms
z
75.0ms
x
66.0ms
y
Results
ErrorSegmentsBranch
24.2b3x
22.1b3y
23.8b3z
Compiler

Compiled 154 to 68 computations (55.8% saved)

bsearch162.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
2.2862554996485113e-7
12.417688682314516
107.0ms
-85.54204582607974
-0.007115263252903328
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes231.0ms (2.4%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 (*.f64 y x) z) y)
Outputs
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 x z)
(/.f64 y (/.f64 z (/.f64 x y)))
Calls

3 calls:

145.0ms
z
41.0ms
x
40.0ms
y
Results
ErrorSegmentsBranch
24.2b3x
22.1b3y
23.8b3z
Compiler

Compiled 84 to 38 computations (54.8% saved)

bsearch278.0ms (2.8%)

Algorithm
binary-search
Steps
TimeLeftRight
198.0ms
6.842630226324185e-40
2.1379813242322482e-39
79.0ms
-4418103140356633.5
-218309872664.86874
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes111.0ms (1.1%)

Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 y (/.f64 y x)) z)
(/.f64 (/.f64 x y) (/.f64 z y))
Outputs
(/.f64 y (*.f64 (/.f64 y x) z))
(/.f64 x z)
(/.f64 y (/.f64 z (/.f64 x y)))
Calls

3 calls:

44.0ms
y
37.0ms
x
26.0ms
z
Results
ErrorSegmentsBranch
24.2b3x
22.1b3y
26.0b2z
Compiler

Compiled 70 to 34 computations (51.4% saved)

bsearch131.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
53.0ms
6.842630226324185e-40
2.1379813242322482e-39
77.0ms
-4418103140356633.5
-218309872664.86874
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes96.0ms (1%)

Counts
6 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 (*.f64 y x) (*.f64 y z))
Outputs
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 x z)
(/.f64 y (/.f64 z (/.f64 x y)))
Calls

3 calls:

31.0ms
y
31.0ms
z
30.0ms
x
Results
ErrorSegmentsBranch
24.2b3x
22.2b3y
25.5b3z
Compiler

Compiled 49 to 28 computations (42.9% saved)

bsearch157.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
99.0ms
6.842630226324185e-40
2.1379813242322482e-39
57.0ms
-4418103140356633.5
-218309872664.86874
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes85.0ms (0.9%)

Accuracy

Total -7.5b remaining (-27.8%)

Threshold costs -7.5b (-27.8%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(/.f64 x (*.f64 (/.f64 z y) y))
Outputs
(/.f64 1 (/.f64 z x))
Calls

3 calls:

74.0ms
y
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
27.1b1x
27.1b1y
27.1b1z
Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061325
171325
272325
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 z -54767094774181760/340282366920938463463374607431768211456) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 z 7909984963118973/75557863725914323419136) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))))
(if (<=.f64 (/.f64 (sin.f64 y) y) 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (sin.f64 y) (/.f64 z (/.f64 x y))) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(if (<=.f64 y -131253440243377808/18446744073709551616) (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) (if (<=.f64 y 8048930075852605/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (/.f64 x z) (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))))
(if (<=.f64 y -752435792396177/8796093022208) (-.f64 (+.f64 1 (/.f64 x z)) 1) (if (<=.f64 y 8637229074253219/37778931862957161709568) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (/.f64 (*.f64 y z) x)) (if (<=.f64 y 4295188606826889728/6277101735386680763835789423207666416102355444464034512896) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (*.f64 (/.f64 y x) z)) (if (<=.f64 y 4295188606826889728/6277101735386680763835789423207666416102355444464034512896) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (/.f64 z (/.f64 x y))) (if (<=.f64 y 4295188606826889728/6277101735386680763835789423207666416102355444464034512896) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(/.f64 1 (/.f64 z x))
(/.f64 x z)
Outputs
(if (<=.f64 z -54767094774181760/340282366920938463463374607431768211456) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 z 7909984963118973/75557863725914323419136) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 z -427867927923295/2658455991569831745807614120560689152) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 z 7909984963118973/75557863725914323419136) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
(if (<=.f64 (/.f64 (sin.f64 y) y) 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))))
(if (<=.f64 (/.f64 (sin.f64 y) y) 4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (sin.f64 y) (/.f64 z (/.f64 x y))) (/.f64 x (/.f64 z (/.f64 (sin.f64 y) y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(if (<=.f64 y -131253440243377808/18446744073709551616) (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) (if (<=.f64 y 8048930075852605/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (/.f64 x z) (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))))
(if (<=.f64 y -8203340015211113/1152921504606846976) (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z))) (if (<=.f64 y 8048930075852605/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (/.f64 x z) (/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))))
(if (<=.f64 y -752435792396177/8796093022208) (-.f64 (+.f64 1 (/.f64 x z)) 1) (if (<=.f64 y 8637229074253219/37778931862957161709568) (/.f64 x z) (-.f64 (+.f64 1 (/.f64 x z)) 1)))
(if (<=.f64 y -752435792396177/8796093022208) (+.f64 (+.f64 (/.f64 x z) 1) -1) (if (<=.f64 y 8637229074253219/37778931862957161709568) (/.f64 x z) (+.f64 (+.f64 (/.f64 x z) 1) -1)))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (/.f64 (*.f64 y z) x)) (if (<=.f64 y 4295188606826889728/6277101735386680763835789423207666416102355444464034512896) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (/.f64 (*.f64 z y) x)) (if (<=.f64 y 8389040247708769/12259964326927110866866776217202473468949912977468817408) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (*.f64 (/.f64 y x) z)) (if (<=.f64 y 4295188606826889728/6277101735386680763835789423207666416102355444464034512896) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (*.f64 z (/.f64 y x))) (if (<=.f64 y 8389040247708769/12259964326927110866866776217202473468949912977468817408) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (/.f64 z (/.f64 x y))) (if (<=.f64 y 4295188606826889728/6277101735386680763835789423207666416102355444464034512896) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -8836206280713267/2) (/.f64 y (/.f64 z (/.f64 x y))) (if (<=.f64 y 8389040247708769/12259964326927110866866776217202473468949912977468817408) (/.f64 x z) (/.f64 y (/.f64 z (/.f64 x y)))))
(/.f64 1 (/.f64 z x))
(/.f64 x z)
Compiler

Compiled 254 to 134 computations (47.2% saved)

soundness9.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22512
35012
47112
58112
Stop Event
saturated
Compiler

Compiled 44 to 28 computations (36.4% saved)

end149.0ms (1.5%)

Compiler

Compiled 224 to 77 computations (65.6% saved)

Profiling

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