Details

Time bar (total: 5.3s)

analyze248.0ms (4.7%)

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

Compiled 12 to 8 computations (33.3% saved)

sample2.1s (40.5%)

Results
1.1s6107×body256valid
628.0ms1388×body1024valid
215.0ms758×body512valid
181.0ms690×body256invalid
17.0ms62×body512invalid
9.0ms23×body1024invalid
2.0msbody2048valid

preprocess53.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 19 to 10 computations (47.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
2.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
8.7b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
4.4b
(*.f64 z (/.f64 y x))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series18.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.0ms
z
@inf
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
1.0ms
y
@0
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
1.0ms
z
@0
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
1.0ms
x
@0
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))

rewrite74.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify87.0ms (1.6%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
031730
176730
2204730
3576730
42608724
55939720
66752720
Stop Event
node limit
Counts
178 → 117
Calls
Call 1
Inputs
(/.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)
(/.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 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (/.f64 y (/.f64 z x))) (/.f64 x z))
(fma.f64 (*.f64 -1/6 (/.f64 x z)) (*.f64 y y) (/.f64 x z))
(fma.f64 (/.f64 x z) (*.f64 y (*.f64 y -1/6)) (/.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 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 x (/.f64 y (/.f64 z y))) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 y (/.f64 y (/.f64 z x))) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 1/120 z) (pow.f64 y 4))) (/.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 x (/.f64 z (pow.f64 y 4))) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) 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 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y (/.f64 z x))) (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))))
(fma.f64 x (*.f64 (/.f64 1/120 z) (pow.f64 y 4)) (fma.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (/.f64 -1/6 z) (*.f64 y y))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 y (*.f64 y -1/6))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
2.3b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 26 to 7 computations (73.1% saved)

series7.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
y
@-inf
(/.f64 (sin.f64 y) y)
1.0ms
y
@0
(*.f64 x (/.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 (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117227
2251127
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 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 y (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (sin.f64 y))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 y) y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (*.f64 (log.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (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) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(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 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))))) (#(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 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (sin.f64 y)) 1)))))))

simplify79.0ms (1.5%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
048774
1127770
2338761
31034759
44261751
57261751
Stop Event
node limit
Counts
221 → 182
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.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 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)))))
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))
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(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))))
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(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
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(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
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(*.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) y)
(/.f64 (sin.f64 y) (/.f64 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 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 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))
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(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 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 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 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
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(*.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 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 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 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)
(*.f64 (fma.f64 -1/6 (*.f64 y y) 1) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 x (*.f64 -1/6 (*.f64 y y)) x)
(*.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 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) 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)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(+.f64 (*.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (*.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (*.f64 1/120 (pow.f64 y 4))))))
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1))))
(*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 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 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 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 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 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 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 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 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 -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 (fma.f64 -1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4)))
(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)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4))))
(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)))

eval58.0ms (1.1%)

Compiler

Compiled 4019 to 1435 computations (64.3% saved)

prune50.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2945299
Fresh000
Picked011
Done011
Total2947301
Error
0b
Counts
301 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
2.1b
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
26.2b
(/.f64 x z)
12.1b
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
8.7b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
32.5b
(/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3)))
6.3b
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
Compiler

Compiled 128 to 84 computations (34.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
2.0b
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite62.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
117512
2259112
Stop Event
node limit
Counts
1 → 72
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 z (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 z y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z y) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 x z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x z) (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y))))))) (#(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 (neg.f64 x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (neg.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) (/.f64 y (sin.f64 y))) -1)))) (#(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 (/.f64 (*.f64 z y) (*.f64 x (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (/.f64 x z) (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (log.f64 (/.f64 y (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) (log.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 x z) (sin.f64 y))) (*.f64 (log.f64 y) 1)))))))

simplify97.0ms (1.8%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
030478
175478
2203478
3579478
42633472
55979468
66791468
Stop Event
node limit
Counts
108 → 81
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))
(fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z))
(fma.f64 x (*.f64 -1/6 (*.f64 (/.f64 y z) y)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 y (*.f64 (/.f64 y z) x)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 1/120 z) (pow.f64 y 4))) (/.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 x (/.f64 z (pow.f64 y 6))) (fma.f64 1/120 (/.f64 (*.f64 x (pow.f64 y 4)) z) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 y y) z) x) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (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 y (*.f64 (/.f64 y z) x)) (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))))
(fma.f64 x (*.f64 -1/5040 (/.f64 (pow.f64 y 6) z)) (fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 1/120 z) (pow.f64 y 4))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (*.f64 y (*.f64 y -1/6)) (*.f64 -1/5040 (pow.f64 y 6))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
(/.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.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 (sin.f64 y) (/.f64 z (/.f64 x y)))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))

localize39.0ms (0.7%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
7.8b
(/.f64 x (*.f64 y z))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

18 calls:

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

rewrite65.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
946×pow1_binary64
874×add-log-exp_binary64
874×log1p-expm1-u_binary64
874×expm1-log1p-u_binary64
854×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116619
2229619
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(/.f64 x (*.f64 y z))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (/.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (/.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) 2) (cbrt.f64 (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 x (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (*.f64 y z))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x (*.f64 y z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))))))))

simplify93.0ms (1.8%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
030478
175478
2203478
3580478
42621472
55950468
66763468
Stop Event
node limit
Counts
100 → 73
Calls
Call 1
Inputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
Outputs
(/.f64 x z)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))
(fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (/.f64 x z))
(fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))
(fma.f64 x (/.f64 y (/.f64 (/.f64 z -1/6) y)) (/.f64 x z))
(fma.f64 (/.f64 x z) (*.f64 -1/6 (*.f64 y y)) (/.f64 x z))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z)))
(fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z)))
(fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z)))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 1/120 (/.f64 (pow.f64 y 4) z))) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 y z) (+.f64 (*.f64 1/120 (pow.f64 y 3)) (*.f64 -1/6 y))) (/.f64 x z))
(fma.f64 x (*.f64 (/.f64 (*.f64 y y) z) (+.f64 -1/6 (*.f64 y (*.f64 y 1/120)))) (/.f64 x z))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 y 6) x) z)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 4) x) z)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 y 2) x) z)) (/.f64 x z))))
(fma.f64 -1/5040 (/.f64 (pow.f64 y 6) (/.f64 z x)) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 y 6) z) x) (fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 (/.f64 z x) y)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 x (/.f64 (pow.f64 y 6) z)) (fma.f64 -1/6 (*.f64 (/.f64 x z) (*.f64 y y)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 -1/5040 (*.f64 (/.f64 x z) (pow.f64 y 6)) (fma.f64 1/120 (*.f64 (/.f64 x z) (pow.f64 y 4)) (fma.f64 -1/6 (*.f64 x (*.f64 (/.f64 y z) y)) (/.f64 x z))))
(fma.f64 x (fma.f64 -1/6 (*.f64 (/.f64 y z) y) (*.f64 (/.f64 -1/5040 z) (pow.f64 y 6))) (fma.f64 (*.f64 1/120 (/.f64 x z)) (pow.f64 y 4) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/6 (*.f64 y y))) (*.f64 -1/5040 (pow.f64 y 6)))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
4.8b
(*.f64 y (/.f64 z x))
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 y (/.f64 z x))
0.0ms
y
@0
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
0.0ms
z
@0
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
0.0ms
y
@-inf
(*.f64 y (/.f64 z x))
0.0ms
z
@-inf
(*.f64 y (/.f64 z x))

rewrite97.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify237.0ms (4.5%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
031730
176730
2204730
3576730
42608724
55939720
66752720
Stop Event
node limit
Counts
178 → 116
Calls
Call 1
Inputs
(/.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)
(/.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 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
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(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 (/.f64 (*.f64 y y) 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 (/.f64 x z) (pow.f64 y 4)) (/.f64 x z))))
(fma.f64 -1/6 (*.f64 y (/.f64 y (/.f64 z x))) (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))))
(fma.f64 x (*.f64 (/.f64 1/120 z) (pow.f64 y 4)) (fma.f64 x (fma.f64 -1/5040 (/.f64 (pow.f64 y 6) z) (*.f64 (/.f64 -1/6 z) (*.f64 y y))) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 y (*.f64 y -1/6))))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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))
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(*.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))
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(*.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))
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(*.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))
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.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 (/.f64 (sin.f64 y) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (/.f64 z (/.f64 x y)) 3)
3.9b
(/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3)))
4.5b
(/.f64 z (/.f64 x y))
28.7b
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3))
Compiler

Compiled 43 to 16 computations (62.8% saved)

series25.0ms (0.5%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3))
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3))
2.0ms
y
@-inf
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3))
1.0ms
z
@0
(pow.f64 (/.f64 z (/.f64 x y)) 3)
1.0ms
x
@0
(pow.f64 (/.f64 z (/.f64 x y)) 3)

rewrite184.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
632×log-prod_binary64
350×pow-prod-down_binary64
289×pow2_binary64
264×pow-unpow_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
124836
2330036
Stop Event
node limit
Counts
4 → 205
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3))
(/.f64 z (/.f64 x y))
(/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3)))
(pow.f64 (/.f64 z (/.f64 x y)) 3)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z (/.f64 y x)) (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (/.f64 y x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 z (/.f64 y x)) (sin.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (*.f64 z (neg.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (*.f64 z (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (/.f64 y x) (pow.f64 (*.f64 z (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 y x)) (pow.f64 (*.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 y x))) (pow.f64 (*.f64 z (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 y x))) (pow.f64 (*.f64 z (/.f64 y x)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3/2) (pow.f64 (*.f64 z (/.f64 y x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z x) (*.f64 y (pow.f64 (*.f64 z (/.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z x) 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) 1) (*.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (/.f64 y x)) 5/2) (sqrt.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 y x)) (cbrt.f64 (*.f64 z (/.f64 y x)))) 2) (cbrt.f64 (*.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) (/.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 z (/.f64 y x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) (/.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 z) 3) (pow.f64 (/.f64 (neg.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 z 3)) (neg.f64 (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 (*.f64 z (/.f64 y x)) 2)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (pow.f64 (*.f64 z (/.f64 y x)) 2)) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) z) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) 1) (/.f64 x (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 y x)) 2) (neg.f64 z)) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 y x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (/.f64 y x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (/.f64 y x)))) 1))))))

simplify88.0ms (1.7%)

Algorithm
egg-herbie
Rules
650×unswap-sqr_binary64
641×associate-/l/_binary64
627×associate-/r/_binary64
572×fma-def_binary64
509×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0451726
11251726
24401726
322431618
460291612
Stop Event
node limit
Counts
349 → 169
Calls
Call 1
Inputs
(/.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 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) 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 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) 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 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) z)) x))
(*.f64 -1 (/.f64 (*.f64 y (*.f64 (cbrt.f64 -1) 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)
(/.f64 (*.f64 y z) x)
(/.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 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 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 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 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 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y (*.f64 (cbrt.f64 -1) z))))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
Outputs
(/.f64 (*.f64 y z) x)
(*.f64 (/.f64 y x) z)
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(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 y 3))
(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 y 3))
(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 y 3))
(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 y 3))
(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 y 3))
(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))
(/.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 x 3))
(/.f64 (pow.f64 z 3) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 3)) (pow.f64 y 3))
(/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3))

eval121.0ms (2.3%)

Compiler

Compiled 6558 to 2195 computations (66.5% saved)

prune114.0ms (2.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4971498
Fresh000
Picked101
Done156
Total4996505
Error
0b
Counts
505 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
12.1b
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
6.2b
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
8.7b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
26.2b
(/.f64 x z)
6.3b
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
Compiler

Compiled 61 to 39 computations (36.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.9b
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
4.6b
(/.f64 (/.f64 x z) y)
Compiler

Compiled 24 to 7 computations (70.8% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite69.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117219
2248919
Stop Event
node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (/.f64 x z) y)
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x z) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x z) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x z) y)) 2) (cbrt.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 x z) y)) (sqrt.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) z) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) 1) (/.f64 (sqrt.f64 (/.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (/.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x z) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 x z)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (/.f64 x z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 x z) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 x z) y)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 x z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 x z)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (/.f64 x z)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 x z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 x z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x z)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (/.f64 x z)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 x z) y)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 x z) y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 x z) y)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 x z) y)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (/.f64 x z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x z) (sin.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (/.f64 x z) (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 x z) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (/.f64 x z) (sin.f64 y))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) 1) (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (/.f64 x z) y)) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 (/.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) 1)))))))

simplify108.0ms (2.1%)

Algorithm
egg-herbie
Rules
751×associate-/r/_binary64
680×fma-def_binary64
468×associate-/l/_binary64
452×associate-*r/_binary64
394×times-frac_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031730
178730
2206730
3579730
42615724
55937720
66753720
Stop Event
node limit
Counts
178 → 117
Calls
Call 1
Inputs
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 (sin.f64 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))
Outputs
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x y) z)
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
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(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
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(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
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(/.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))
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(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 z x)) (/.f64 x z)))
(fma.f64 1/120 (/.f64 (pow.f64 y 4) (/.f64 z x)) (fma.f64 -1/6 (/.f64 y (/.f64 z (*.f64 x y))) (/.f64 x z)))
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(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))))
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(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

eval43.0ms (0.8%)

Compiler

Compiled 1543 to 541 computations (64.9% saved)

prune67.0ms (1.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done055
Total1176123
Error
0b
Counts
123 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
12.1b
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
6.2b
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
8.7b
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
2.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
26.2b
(/.f64 x z)
6.3b
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes150.0ms (2.8%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 x z)
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
(/.f64 (sin.f64 y) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 (/.f64 z (/.f64 x y)) 3)))
Outputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
Calls

6 calls:

51.0ms
y
23.0ms
z
21.0ms
x
20.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
20.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Results
ErrorSegmentsBranch
1.1b2x
1.0b2y
1.1b2z
0.9b2(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
1.1b2(*.f64 x (/.f64 (sin.f64 y) y))
2.1b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 104 to 53 computations (49% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.2832942353544288
-0.0109203516824604
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes102.0ms (1.9%)

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

4 calls:

63.0ms
y
16.0ms
x
10.0ms
z
10.0ms
(/.f64 (sin.f64 y) y)
Results
ErrorSegmentsBranch
2.1b1x
1.1b3y
2.1b1z
2.1b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 65 to 32 computations (50.8% saved)

bsearch243.0ms (4.6%)

Algorithm
binary-search
Steps
TimeLeftRight
96.0ms
7.025824445880287e+259
4.7775685620063035e+260
147.0ms
1.250237603088725e+148
1.9944520832294416e+151
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes19.0ms (0.4%)

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

4 calls:

7.0ms
(/.f64 (sin.f64 y) y)
4.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
2.1b1x
2.1b1y
2.1b1z
2.1b1(/.f64 (sin.f64 y) y)
Compiler

Compiled 41 to 23 computations (43.9% saved)

regimes117.0ms (2.2%)

Accuracy

Total -28.2b remaining (-1328.1%)

Threshold costs -28.2b (-1328.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 x z)
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
Outputs
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
(/.f64 x z)
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))
Calls

3 calls:

104.0ms
z
9.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
6.2b1x
2.1b3y
6.2b1z
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch71.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
7.697475838851738e-48
3.333457723287353e-45
43.0ms
-3.464708091520974e-7
-6.263633724776381e-12
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031145
136145
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) -3689348814741910528/18446744073709551616) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))
(if (<=.f64 y 12502376030887249700821988266728212004897415701363608533535868069126859928127460589574043107552702319187441353634297598270467731002208873060451221504) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) (if (<=.f64 y 70258244458802866464150385729682399905370117030774307105597576528705104826425813010284894064237585104771855892773489829111057941696970917995985903174366412316465987653088592497284171800157044811042777843255173120571934320878633024774928000440536661846885662720) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(if (<=.f64 y -6544648545730361/18889465931478580854784) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (if (<=.f64 y 1583278946587551/205688069665150755269371147819668813122841983204197482918576128) (/.f64 x z) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))
(/.f64 x z)
Outputs
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) -3689348814741910528/18446744073709551616) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)))
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) -3602879701896397/18014398509481984) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)))
(if (<=.f64 y 12502376030887249700821988266728212004897415701363608533535868069126859928127460589574043107552702319187441353634297598270467731002208873060451221504) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) (if (<=.f64 y 70258244458802866464150385729682399905370117030774307105597576528705104826425813010284894064237585104771855892773489829111057941696970917995985903174366412316465987653088592497284171800157044811042777843255173120571934320878633024774928000440536661846885662720) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))
(if (<=.f64 y 12502376030887249700821988266728212004897415701363608533535868069126859928127460589574043107552702319187441353634297598270467731002208873060451221504) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (if (<=.f64 y 70258244458802866464150385729682399905370117030774307105597576528705104826425813010284894064237585104771855892773489829111057941696970917995985903174366412316465987653088592497284171800157044811042777843255173120571934320878633024774928000440536661846885662720) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(if (<=.f64 y -6544648545730361/18889465931478580854784) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (if (<=.f64 y 1583278946587551/205688069665150755269371147819668813122841983204197482918576128) (/.f64 x z) (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y))))
(if (<=.f64 y -6544648545730361/18889465931478580854784) (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) (if (<=.f64 y 1583278946587551/205688069665150755269371147819668813122841983204197482918576128) (/.f64 x z) (*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))))
(/.f64 x z)
Compiler

Compiled 112 to 54 computations (51.8% saved)

soundness0.0ms (0%)

end40.0ms (0.8%)

Compiler

Compiled 100 to 29 computations (71% saved)

Profiling

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