Details

Time bar (total: 7.3s)

analyze293.0ms (4%)

Algorithm
1×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)

sample2.1s (28.7%)

Results
914.0ms5960×body256valid
725.0ms1453×body1024valid
250.0ms838×body512valid
134.0ms672×body256invalid
47.0ms60×body512invalid
11.0ms30×body1024invalid
3.0ms5×body2048valid

preprocess24.0ms (0.3%)

Algorithm
2×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
1×saturated
1×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)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22512
35012
47112
58112
Stop Event
1×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
2.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶11.8b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
▶2.5b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.1b
(*.f64 z (/.f64 y x))
✓7.4b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series17.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×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
1×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)))))))

simplify87.0ms (1.2%)

Algorithm
1×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
1×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))

localize12.0ms (0.2%)

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)
✓2.5b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series9.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x (/.f64 (sin.f64 y) y))
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))

rewrite82.0ms (1.1%)

Algorithm
1×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
1×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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simplify79.0ms (1.1%)

Algorithm
1×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
1×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)))
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(*.f64 (/.f64 (sin.f64 y) y) x)
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(*.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))

eval58.0ms (0.8%)

Compiler

Compiled 4011 to 1443 computations (64% saved)

prune51.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2917298
Fresh000
Picked101
Done011
Total2928300
Error
0b
Counts
300 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓11.8b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
▶11.8b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
▶28.8b
(/.f64 x z)
▶11.6b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
13.9b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
▶2.5b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
▶11.0b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
39.7b
(/.f64 (sin.f64 y) (/.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x)))
Compiler

Compiled 163 to 103 computations (36.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 y (sin.f64 y))
✓0.1b
(/.f64 x (/.f64 y (sin.f64 y)))
✓2.5b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series6.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

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

rewrite83.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
565×log-prod_binary64
438×exp-prod_binary64
323×pow-prod-down_binary64
252×pow2_binary64
192×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117827
2275627
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 1) 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))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) 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 (sin.f64 y) 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 (sin.f64 y) 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))))))

simplify80.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
827×distribute-rgt-out_binary64
777×fma-def_binary64
510×associate-*l*_binary64
465×distribute-lft-out_binary64
461×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052774
1137772
2369762
31124759
44585751
57785751
Stop Event
1×node limit
Counts
227 → 187
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))
(/.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)
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 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) 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 x (/.f64 z (*.f64 y y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.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 (*.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 x (/.f64 z (*.f64 y y))) (/.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 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y -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 (*.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 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 4) z) x) (fma.f64 -1/6 (/.f64 x (/.f64 z (*.f64 y y))) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) 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 (*.f64 y y) (/.f64 z x)) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 1/120 (/.f64 x (/.f64 z (pow.f64 y 4))) (/.f64 x z))))
(+.f64 (/.f64 x z) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (*.f64 (/.f64 x z) (fma.f64 -1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.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 -1/6 (*.f64 y (*.f64 y x)) x)
(fma.f64 (*.f64 y y) (*.f64 x -1/6) 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))
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 1/120 (pow.f64 y 4)) x x))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(*.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)))
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))) x)
(/.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))
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 (pow.f64 y 4) 7/360 (*.f64 y (*.f64 y 1/6))))
(fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) 1))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 7/360 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 (pow.f64 y 4) 7/360 (*.f64 y (*.f64 y 1/6)))))
(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 (*.f64 y y) (fma.f64 (*.f64 y y) 7/360 1/6) (fma.f64 (pow.f64 y 6) 31/15120 1))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 1)))

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 y) z)
✓10.7b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series7.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 (sin.f64 y) z)
1.0ms
z
@-inf
(/.f64 (sin.f64 y) z)
1.0ms
z
@inf
(/.f64 (sin.f64 y) z)
0.0ms
y
@inf
(/.f64 (sin.f64 y) z)
0.0ms
y
@-inf
(/.f64 (sin.f64 y) z)

rewrite73.0ms (1%)

Algorithm
1×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
1×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 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(#(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)))))))

simplify82.0ms (1.1%)

Algorithm
1×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
1×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 (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.1b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
✓7.4b
(/.f64 (sin.f64 y) (*.f64 y z))
Compiler

Compiled 25 to 7 computations (72% saved)

series8.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

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

rewrite67.0ms (0.9%)

Algorithm
1×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
1×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 (1.1%)

Algorithm
1×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
1×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))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓4.0b
(/.f64 z (/.f64 x y))
✓7.4b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite79.0ms (1.1%)

Algorithm
1×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
1×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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((#(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 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(*.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 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((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))))))

simplify135.0ms (1.8%)

Algorithm
1×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
1×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))

eval166.0ms (2.3%)

Compiler

Compiled 7103 to 2459 computations (65.4% saved)

prune126.0ms (1.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5284532
Fresh202
Picked011
Done055
Total53010540
Error
0b
Counts
540 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓11.8b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
✓11.8b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
✓28.8b
(/.f64 x z)
▶28.9b
(*.f64 (/.f64 1 z) x)
▶13.9b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
▶35.1b
(*.f64 (/.f64 y z) (/.f64 x y))
▶12.2b
(*.f64 (*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y)) x)
✓2.5b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
✓11.0b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
✓11.6b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
Compiler

Compiled 103 to 67 computations (35% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 1 y) z)
✓4.1b
(*.f64 (*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y)) x)
✓7.7b
(*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y))
Compiler

Compiled 35 to 19 computations (45.7% saved)

series7.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite121.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
550×log-prod_binary64
410×exp-prod_binary64
380×pow-prod-down_binary64
268×pow2_binary64
209×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
120728
2272328
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y))
(*.f64 (*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y)) x)
(/.f64 (/.f64 1 y) z)
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 1 (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 y) (sin.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 -1 y)) (neg.f64 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 (E.f64) (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(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 z (/.f64 (sin.f64 y) y)) -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 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 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 (*.f64 (log.f64 (/.f64 (sin.f64 y) (*.f64 y z))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 y z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))) 1)))) (#(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 (/.f64 1 y) (*.f64 (sin.f64 y) x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 y) (*.f64 (sin.f64 y) x)) (neg.f64 z))))) (#(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 (/.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 (E.f64) (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))))))) (#(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 x) (/.f64 (sin.f64 y) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 y) z)) (cbrt.f64 (pow.f64 (*.f64 y z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y z) -2)) (cbrt.f64 (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) -1/2) (pow.f64 (*.f64 y z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 (/.f64 1 y) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (*.f64 z z))) (/.f64 (pow.f64 y -1/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (/.f64 (/.f64 1 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 z)) (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y z) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y -3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (*.f64 y z)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (*.f64 y z))))) (sqrt.f64 (neg.f64 (log.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y z) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y -3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 y z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y z))) 1) 1))))))

simplify89.0ms (1.2%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
044902
1114902
2280902
3730900
42980893
55544892
66718892
Stop Event
1×node limit
Counts
195 → 129
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))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.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 (/.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 y (/.f64 z y)) (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 -1/5040 (/.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 (/.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 -1/6 (*.f64 y (/.f64 y z)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) 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 -1/5040 (/.f64 (pow.f64 y 6) 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 -1/5040 (/.f64 (pow.f64 y 6) z) (/.f64 1 z))))
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) (*.f64 y z))
(/.f64 (sin.f64 y) (*.f64 z y))
(/.f64 (/.f64 (sin.f64 y) 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 x (/.f64 z (*.f64 y 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 (*.f64 y (*.f64 -1/6 y)) z) 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 x (/.f64 z (*.f64 y y))) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y 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 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 (pow.f64 y 4) z) x) (fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 -1/6 (*.f64 (*.f64 (/.f64 y z) y) x) (/.f64 x z))))
(+.f64 (/.f64 x z) (fma.f64 -1/6 (*.f64 (*.f64 y y) (/.f64 x z)) (*.f64 x (fma.f64 1/120 (/.f64 (pow.f64 y 4) 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 -1/5040 (pow.f64 y 6)) (*.f64 (*.f64 y y) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))))))
(+.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 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)
(/.f64 1 (*.f64 y z))
(/.f64 1 (*.f64 z y))
(/.f64 (/.f64 1 z) y)

localize8.0ms (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)
0.0ms
x
@-inf
(*.f64 (/.f64 1 z) x)
0.0ms
z
@-inf
(*.f64 (/.f64 1 z) x)
0.0ms
x
@inf
(*.f64 (/.f64 1 z) x)
0.0ms
x
@0
(*.f64 (/.f64 1 z) x)

rewrite50.0ms (0.7%)

Algorithm
1×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
1×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
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
1×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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓15.5b
(*.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
x
@-inf
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
z
@inf
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
y
@inf
(*.f64 (/.f64 y z) (/.f64 x y))
0.0ms
x
@inf
(*.f64 (/.f64 y z) (/.f64 x y))

rewrite65.0ms (0.9%)

Algorithm
1×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
1×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))))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04144
Stop Event
1×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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (sin.f64 y) x)
✓13.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts
2 → 8
Calls

15 calls:

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

rewrite73.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
434×exp-prod_binary64
316×pow-prod-down_binary64
251×div-exp_binary64
237×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116918
2251318
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (sin.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 (/.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 x (/.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sin.f64 y) (/.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) x) (/.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (*.f64 y (neg.f64 z))))))) (#(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 z) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y z)) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (/.f64 y x)) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 x (*.f64 y z)))))) (#(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 x 1) (/.f64 (sin.f64 y) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) z))))) (#(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 y) (/.f64 (*.f64 (sin.f64 y) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) y) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) z) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) 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 (*.f64 (sin.f64 y) x)) 2) z) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))))) (#(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 (sin.f64 y) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 x (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (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 (pow.f64 (cbrt.f64 (*.f64 y z)) -2) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 (*.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y z))) (/.f64 (sin.f64 y) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y z) -1/2) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 y z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x z)) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x 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 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1) (log.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 y) x)) (*.f64 (log.f64 (*.f64 y z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1) (*.f64 (log.f64 (*.f64 y z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (*.f64 (log.f64 z) 1)))))))
((#(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 (log.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3)) 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 (1.7%)

Algorithm
1×egg-herbie
Rules
731×associate-*l/_binary64
661×fma-def_binary64
599×associate-*r/_binary64
370×distribute-lft-out_binary64
360×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044170
1122167
2343156
31107154
43206154
54675154
66099154
76937154
87523154
97877154
Stop Event
1×node limit
Counts
105 → 112
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 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 y (/.f64 (/.f64 z x) y)) (/.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 z y) y)) (/.f64 x z))
(fma.f64 (*.f64 y (/.f64 y z)) (*.f64 x -1/6) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (*.f64 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 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.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 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (/.f64 x (/.f64 (/.f64 z y) y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (*.f64 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 x (/.f64 z (pow.f64 y 4))) (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 x (/.f64 y (/.f64 z 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 z y) y)) (fma.f64 (/.f64 (pow.f64 y 6) z) (*.f64 x -1/5040) (/.f64 x z))))
(fma.f64 (/.f64 1/120 z) (*.f64 x (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y (/.f64 y z))) (fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (/.f64 x z))))
(fma.f64 -1/6 (*.f64 x (*.f64 y (/.f64 y 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)) (/.f64 x z))))
(*.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 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.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 (*.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 x (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 -1/6 (pow.f64 y 3))))))

eval60.0ms (0.8%)

Compiler

Compiled 3961 to 1486 computations (62.5% saved)

prune69.0ms (0.9%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New3079316
Fresh000
Picked011
Done099
Total30719326
Error
0b
Counts
326 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(/.f64 y (/.f64 z (/.f64 x y)))
✓11.8b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
✓11.8b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
✓28.8b
(/.f64 x z)
✓12.2b
(*.f64 (*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y)) x)
▶35.2b
(/.f64 y (/.f64 (*.f64 y z) x))
▶31.3b
(/.f64 (/.f64 y (/.f64 y x)) z)
✓2.5b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
▶31.5b
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
▶28.8b
(/.f64 1 (/.f64 z x))
✓11.6b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
37.5b
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
▶35.0b
(-.f64 (+.f64 1 (/.f64 x z)) 1)
✓28.9b
(*.f64 (/.f64 1 z) x)
✓13.9b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
✓35.1b
(*.f64 (/.f64 y z) (/.f64 x y))
37.5b
(/.f64 (*.f64 (/.f64 y z) x) y)
✓11.0b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
37.4b
(/.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))
Compiler

Compiled 291 to 191 computations (34.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.6b
(/.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))

rewrite55.0ms (0.8%)

Algorithm
1×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
1×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)))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496
Stop Event
1×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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 x z))
✓4.6b
(-.f64 (+.f64 1 (/.f64 x z)) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0%)

Counts
2 → 30
Calls

12 calls:

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

rewrite95.0ms (1.3%)

Algorithm
1×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
0717
116011
2235811
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(+.f64 1 (/.f64 x z))
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)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) 2) (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) 2) (cbrt.f64 (+.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) (sqrt.f64 (+.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 x z) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 x z) 2) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x z) 2)) (/.f64 1 (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 x z) 2) (/.f64 x z))) (+.f64 1 (pow.f64 (/.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 x z)) (-.f64 1 (pow.f64 (/.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x z) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x z) 2) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 x z) 3)) (+.f64 (pow.f64 (/.f64 x z) 2) (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x z) 2)) (-.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 x z) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 x z) 2) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x z) 2))) (neg.f64 (-.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x z) 2) 1) (+.f64 (/.f64 x z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x z) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 x z) 2) (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 x z) 2)) 1) (-.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) 1)))))

simplify36.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05111
17111
Stop Event
1×saturated
Counts
127 → 98
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)
1
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
1
1
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)
1
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
1
1

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓7.9b
(/.f64 (*.f64 y z) x)
✓12.4b
(/.f64 y (/.f64 (*.f64 y z) x))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

18 calls:

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

rewrite63.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
951×pow1_binary64
885×add-log-exp_binary64
885×log1p-expm1-u_binary64
885×expm1-log1p-u_binary64
80×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2232217
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (*.f64 y z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x (*.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))) 2) (cbrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))) (sqrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (*.f64 y (neg.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (*.f64 y z)) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y z)) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y z)) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 2)) (/.f64 y (cbrt.f64 (*.f64 (/.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 2)) (cbrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (/.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 y x) z))) (/.f64 y (sqrt.f64 (*.f64 (/.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (/.f64 y x) z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (/.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y (neg.f64 z))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (*.f64 y z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (*.f64 y z)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (*.f64 y z)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x (*.f64 y z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x (*.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y (/.f64 x z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (*.f64 y (neg.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x (*.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (/.f64 y x) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x (*.f64 y z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 2) (cbrt.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (cbrt.f64 (*.f64 y z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y x) z)) (sqrt.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 z)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) 1) (/.f64 (sqrt.f64 (*.f64 y z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y z) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y z)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 z (sqrt.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 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y z)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) z) 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 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) z)))))))

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04144
Stop Event
1×saturated
Counts
121 → 86
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 1 expressions with local error:

NewErrorProgram
✓13.2b
(/.f64 y (/.f64 y x))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite83.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
560×pow1_binary64
524×add-log-exp_binary64
524×log1p-expm1-u_binary64
524×expm1-log1p-u_binary64
511×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11111
217061
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 y (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 y (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
1×saturated
Counts
59 → 36
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
13.2b
(/.f64 y (/.f64 y x))
Compiler

Compiled 31 to 9 computations (71% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite137.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
517×log-prod_binary64
406×exp-prod_binary64
283×pow-prod-down_binary64
246×pow-unpow_binary64
225×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
11994
231064
Stop Event
1×node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (pow.f64 z -1))))) (#(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 (pow.f64 z -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (/.f64 x y) z))))) (#(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 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 x y) (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 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 x y) (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 (pow.f64 (cbrt.f64 (/.f64 z x)) -2) (cbrt.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 z -1) (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 (E.f64) (log.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z x) -2) 1/2)))) (#(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 (cbrt.f64 (/.f64 z x)) -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 z x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x z))) 2)) (cbrt.f64 (log.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x z)))) (sqrt.f64 (log.f64 (/.f64 x z))))))) (#(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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 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 exp.f64 (*.f64 (log.f64 (/.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x z)) 1) 1))))))

simplify20.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04144
Stop Event
1×saturated
Counts
99 → 64
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)

eval161.0ms (2.2%)

Compiler

Compiled 3725 to 1665 computations (55.3% saved)

prune189.0ms (2.6%)

Pruning

24 alts after pruning (11 fresh and 13 done)

PrunedKeptTotal
New3488356
Fresh134
Picked011
Done21214
Total35124375
Error
0b
Counts
375 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
35.6b
(/.f64 (*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) z)
41.6b
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 x z) -1) (+.f64 (/.f64 x z) -1))) (-.f64 1 (+.f64 (/.f64 x z) -1)))
✓11.8b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
✓11.8b
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
✓28.8b
(/.f64 x z)
✓12.2b
(*.f64 (*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y)) x)
✓35.2b
(/.f64 y (/.f64 (*.f64 y z) x))
✓31.5b
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
✓28.8b
(/.f64 1 (/.f64 z x))
✓11.6b
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
35.6b
(*.f64 (/.f64 x (*.f64 y z)) y)
37.5b
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
41.9b
(/.f64 (sqrt.f64 (*.f64 x x)) z)
✓35.0b
(-.f64 (+.f64 1 (/.f64 x z)) 1)
47.7b
(-.f64 1 1)
38.1b
(*.f64 (/.f64 1 (*.f64 y z)) (/.f64 y (/.f64 1 x)))
✓28.9b
(*.f64 (/.f64 1 z) x)
✓13.9b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
33.4b
(*.f64 (/.f64 y 1) (/.f64 (/.f64 x y) z))
37.5b
(/.f64 (*.f64 (/.f64 y z) x) y)
✓2.5b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
30.8b
(/.f64 y (*.f64 y (/.f64 1 (/.f64 x z))))
✓11.0b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
37.4b
(/.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))
Compiler

Compiled 268 to 181 computations (32.5% saved)

regimes363.0ms (5%)

Counts
30 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(*.f64 (/.f64 x (*.f64 y z)) y)
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 y (/.f64 y x)) z)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(/.f64 (*.f64 (/.f64 y z) x) y)
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 x y) z))
(/.f64 y (*.f64 y (/.f64 1 (/.f64 x z))))
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) z)
(*.f64 (/.f64 1 (*.f64 y z)) (/.f64 y (/.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 x z) -1) (+.f64 (/.f64 x z) -1))) (-.f64 1 (+.f64 (/.f64 x z) -1)))
(/.f64 (sqrt.f64 (*.f64 x x)) z)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 (*.f64 (/.f64 (/.f64 1 y) z) (sin.f64 y)) x)
(/.f64 (sin.f64 y) (/.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x)))
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
Calls

9 calls:

97.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
69.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
44.0ms
y
41.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
34.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
ErrorSegmentsBranch
2.5b1x
2.5b1y
2.5b1z
0.2b3(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
0.2b3(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
0.1b3(*.f64 x (/.f64 (sin.f64 y) y))
0.1b3(*.f64 x (/.f64 (sin.f64 y) y))
2.5b1(/.f64 (sin.f64 y) y)
2.5b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 314 to 148 computations (52.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.03695094e-315
1.2316072194e-313
0.0ms
-1.3039150090244208e-298
-5.4161011179228607e-303
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes51.0ms (0.7%)

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

3 calls:

16.0ms
z
15.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
2.5b1x
2.5b1y
2.5b1z
Compiler

Compiled 230 to 100 computations (56.5% saved)

regimes388.0ms (5.3%)

Counts
24 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(*.f64 (/.f64 x (*.f64 y z)) y)
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 y (/.f64 y x)) z)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(/.f64 (*.f64 (/.f64 y z) x) y)
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 x y) z))
(/.f64 y (*.f64 y (/.f64 1 (/.f64 x z))))
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) z)
(*.f64 (/.f64 1 (*.f64 y z)) (/.f64 y (/.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 x z) -1) (+.f64 (/.f64 x z) -1))) (-.f64 1 (+.f64 (/.f64 x z) -1)))
(/.f64 (sqrt.f64 (*.f64 x x)) z)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(/.f64 x z)
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
Calls

3 calls:

247.0ms
x
91.0ms
z
44.0ms
y
Results
ErrorSegmentsBranch
7.8b5x
3.0b3y
8.5b4z
Compiler

Compiled 206 to 93 computations (54.9% saved)

bsearch166.0ms (2.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
9.466220070781199e-39
1.8820325723113694e-37
111.0ms
-6731635.718388994
-0.06269691361263788
Compiler

Compiled 55 to 38 computations (30.9% saved)

regimes125.0ms (1.7%)

Counts
21 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 x z)
(/.f64 1 (/.f64 z x))
(*.f64 (/.f64 1 z) x)
(*.f64 (/.f64 x (*.f64 y z)) y)
(/.f64 y (/.f64 z (/.f64 x y)))
(/.f64 y (/.f64 (*.f64 y z) x))
(/.f64 (/.f64 y (/.f64 y x)) z)
(-.f64 (+.f64 1 (/.f64 x z)) 1)
(/.f64 (*.f64 (/.f64 y z) x) y)
(*.f64 (/.f64 y z) (/.f64 x y))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 x y) z))
(/.f64 y (*.f64 y (/.f64 1 (/.f64 x z))))
(/.f64 1 (/.f64 z (/.f64 y (/.f64 y x))))
(/.f64 1 (/.f64 (*.f64 y z) (*.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 (/.f64 y z) x)))
(/.f64 (*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x))) z)
(*.f64 (/.f64 1 (*.f64 y z)) (/.f64 y (/.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 x z) -1) (+.f64 (/.f64 x z) -1))) (-.f64 1 (+.f64 (/.f64 x z) -1)))
(/.f64 (sqrt.f64 (*.f64 x x)) z)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 x z)
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Calls

3 calls:

51.0ms
z
33.0ms
y
32.0ms
x
Results
ErrorSegmentsBranch
10.6b3x
4.0b3y
13.9b1z
Compiler

Compiled 182 to 90 computations (50.5% saved)

bsearch50.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
5.236158011806857e-48
3.3490032637571076e-47
27.0ms
-3.62875621084914e-8
-4.4669685068900546e-10
Compiler

Compiled 55 to 38 computations (30.9% saved)

regimes357.0ms (4.9%)

Accuracy

Total -30.6b remaining (-130.1%)

Threshold costs -30.6b (-130.1%)

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

3 calls:

203.0ms
x
95.0ms
y
53.0ms
z
Results
ErrorSegmentsBranch
25.2b3x
23.5b3y
25.7b3z
Compiler

Compiled 174 to 87 computations (50% saved)

bsearch83.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
3.55655911987175e+28
2.873341611881547e+31
54.0ms
-9.672631275697964e+83
-7.879642578144558e+79
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046175
150175
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
(if (<=.f64 y -1) (/.f64 (sin.f64 y) (/.f64 z (/.f64 x y))) (if (<=.f64 y 1915619426082361/191561942608236107294793378393788647952342390272950272) (/.f64 x z) (/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -4835703278458517/4835703278458516698824704) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) (if (<=.f64 y 4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (/.f64 x z) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
(if (<=.f64 y -967263127569796421392959871534866054089370250543169185680693426008305314858300080128) (-.f64 1 1) (if (<=.f64 y 35565591198717497821209034752) (/.f64 x z) (-.f64 1 1)))
(-.f64 1 1)
Outputs
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) -4712544691453469/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 809609013/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)))
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
(if (<=.f64 y -1) (/.f64 (sin.f64 y) (/.f64 z (/.f64 x y))) (if (<=.f64 y 1915619426082361/191561942608236107294793378393788647952342390272950272) (/.f64 x z) (/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))))
(if (<=.f64 y -4835703278458517/4835703278458516698824704) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) (if (<=.f64 y 4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (/.f64 x z) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
(if (<=.f64 y -4835703278458517/4835703278458516698824704) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) (if (<=.f64 y 4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (/.f64 x z) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))))
(if (<=.f64 y -967263127569796421392959871534866054089370250543169185680693426008305314858300080128) (-.f64 1 1) (if (<=.f64 y 35565591198717497821209034752) (/.f64 x z) (-.f64 1 1)))
(if (<=.f64 y -967263127569796421392959871534866054089370250543169185680693426008305314858300080128) 0 (if (<=.f64 y 35565591198717497821209034752) (/.f64 x z) 0))
(-.f64 1 1)
0
Compiler

Compiled 136 to 70 computations (48.5% saved)

soundness10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22512
35012
47112
58112
Stop Event
1×saturated
Compiler

Compiled 44 to 28 computations (36.4% saved)

end75.0ms (1%)

Compiler

Compiled 121 to 44 computations (63.6% saved)

Profiling

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