Details

Time bar (total: 17.4s)

analyze467.0ms (2.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample8.1s (46.4%)

Results
4.9s2057×body2048valid
2.0s3076×body1024valid
605.0ms1579×body512valid
369.0ms1425×body256valid
144.0ms119×body4096valid
Bogosity

preprocess166.0ms (1%)

Algorithm
egg-herbie
Rules
1016×fma-def
606×distribute-lft-in
520×associate-/r*
394×associate--r-
372×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify166.0ms (1%)

Algorithm
egg-herbie
Rules
1016×fma-def
606×distribute-lft-in
520×associate-/r*
394×associate--r-
372×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval0.0ms (0%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
30.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.3b
(-.f64 (sin.f64 x) x)
1.3b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series3.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite150.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1604×associate-/r*
1560×associate-/l*
1136×*-commutative
816×associate-/r/
530×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0954
120754
2313654
Stop Event
node limit
Counts
4 → 264
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) x)
(-.f64 (sin.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(sin.f64 x)
Outputs
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x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))))

simplify171.0ms (1%)

Algorithm
egg-herbie
Rules
1468×associate-*r*
1298×associate-/l*
1284×associate-*l*
876×associate-/r*
670×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070113438
1215113284
Stop Event
node limit
Counts
304 → 446
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (tan.f64 x) (neg.f64 x)))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -1/5040)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -1/5040))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 1 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
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(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
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(*.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (neg.f64 x) (tan.f64 x)) (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(neg.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 x (sin.f64 x))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (-.f64 (tan.f64 x) x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x)) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x (+.f64 x (sin.f64 x))))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 6)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (*.f64 (fma.f64 (-.f64 (tan.f64 x) x) (sin.f64 x) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (tan.f64 x) x) (sin.f64 x) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (fma.f64 (-.f64 (tan.f64 x) x) (sin.f64 x) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (fma.f64 (-.f64 (tan.f64 x) x) (sin.f64 x) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (fma.f64 (-.f64 (tan.f64 x) x) (sin.f64 x) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

eval210.0ms (1.2%)

Compiler

Compiled 10981 to 3871 computations (64.7% saved)

prune112.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4379446
Fresh000
Picked011
Done000
Total43710447
Error
0b
Counts
447 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(fma.f64 9/40 (*.f64 x x) -1/2)
30.4b
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
30.4b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
30.6b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
32.3b
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
33.1b
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
30.8b
(+.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
30.4b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
31.1b
1
33.0b
-1/2
Compiler

Compiled 164 to 116 computations (29.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
0.0b
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.3b
(-.f64 (sin.f64 x) x)
1.3b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.0ms
x
@0
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
0.0ms
x
@inf
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
0.0ms
x
@-inf
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))

rewrite121.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1750×associate-/l*
1098×associate-/r/
956×distribute-lft-in
682×associate-/l/
268×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01160
125254
2361654
Stop Event
node limit
Counts
2 → 236
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
Outputs
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simplify201.0ms (1.2%)

Algorithm
egg-herbie
Rules
1108×associate-*r*
1036×*-commutative
966×associate-/r*
960×associate-/l*
906×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076316756
1252716604
Stop Event
node limit
Counts
260 → 437
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
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1
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-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
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(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))
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(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
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(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
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(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
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(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 (*.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (/.f64 (*.f64 (*.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 x 3) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (+.f64 1 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (fma.f64 -9/10 (*.f64 x x) -2))
(+.f64 -2 (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 -9/10 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 -9/10 (*.f64 x x)))) -2)
(+.f64 -2 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 -9/10 (*.f64 x x)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x))))
(+.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (-.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
(+.f64 1 (fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))))
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(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))) (+.f64 x (sin.f64 x)))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x)) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 x (sin.f64 x))))
(*.f64 (*.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (*.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 3)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 9/40 (*.f64 x x) -1/2)
Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@-inf
(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite52.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1404×add-sqr-sqrt
1378×*-un-lft-identity
1288×add-cube-cbrt
1278×add-cbrt-cube
1264×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116115
2177715
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 9/40 (*.f64 x x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (*.f64 9/40 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))))

simplify47.0ms (0.3%)

Algorithm
egg-herbie
Rules
1446×distribute-lft-in
1408×distribute-rgt-in
1240×associate-*r*
924×associate-/l*
902×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063602
1150584
2710556
33330556
Stop Event
node limit
Counts
34 → 35
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(+.f64 -1/2 (*.f64 (*.f64 9/40 x) x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 -1/2 (*.f64 (*.f64 9/40 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) -1/4) (fma.f64 (*.f64 9/40 x) x 1/2))
(/.f64 (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) -1/8) (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) (-.f64 1/4 (*.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) -1/8) (fma.f64 (*.f64 9/40 x) (*.f64 (pow.f64 x 3) 9/40) (-.f64 1/4 (*.f64 (*.f64 x x) -9/80))))
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (-.f64 1/4 (*.f64 x (*.f64 x -9/80)))))
(/.f64 (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) -1/8) (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 x (*.f64 9/80 x))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(fma.f64 9/40 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 9/40 (pow.f64 x 2))
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 9/40 (pow.f64 x 2))
0.0ms
x
@0
(*.f64 9/40 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 9/40 (pow.f64 x 2))

rewrite50.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1176×add-sqr-sqrt
1154×*-un-lft-identity
1100×pow1
1078×add-cube-cbrt
1070×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114413
2153813
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify60.0ms (0.3%)

Algorithm
egg-herbie
Rules
1128×log-prod
950×distribute-rgt-in
924×distribute-lft-in
720×associate-*r*
686×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037275
193209
2331143
31864143
47258143
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
Outputs
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -1)
(+.f64 (*.f64 9/40 (*.f64 x x)) 0)
(*.f64 9/40 (*.f64 x x))

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
1.3b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1908×add-sqr-sqrt
1892×*-un-lft-identity
1776×add-cube-cbrt
1752×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0821
117917
2281917
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))))

simplify57.0ms (0.3%)

Algorithm
egg-herbie
Rules
1034×associate-+l+
1000×associate-+r+
830×*-commutative
526×associate-*r/
458×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01121011
1283975
21134955
34662955
Stop Event
node limit
Counts
49 → 63
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/120 (pow.f64 x 4)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/362880 (pow.f64 x 8)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
0.2b
(*.f64 -27/2800 (pow.f64 x 4))
14.8b
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@0
(*.f64 -27/2800 (pow.f64 x 4))
0.0ms
x
@inf
(*.f64 -27/2800 (pow.f64 x 4))
0.0ms
x
@inf
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)

rewrite94.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
958×*-commutative
692×unswap-sqr
572×swap-sqr
424×sqr-pow
386×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01373
127873
2314973
Stop Event
node limit
Counts
3 → 130
Calls
Call 1
Inputs
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 9/40 (*.f64 (*.f64 x x) -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9/40 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simplify137.0ms (0.8%)

Algorithm
egg-herbie
Rules
1246×associate-/r*
1136×associate-+l+
1110×associate-+r+
622×+-commutative
500×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036310886
19819876
239359876
Stop Event
node limit
Counts
154 → 218
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4))) (/.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))) (cbrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (/.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (cbrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 6) 1/64) (*.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) -1/8)))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2)) (-.f64 -1/2 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 4) 1/16) (*.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) 1/4)))
(/.f64 (+.f64 -1/512 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 3)) (*.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (-.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 6) 1/64) (*.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) 3) 1/64) (*.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (+.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 4) 1/16) (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) 1/4))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2)) 1/4) (+.f64 (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2))
(/.f64 (+.f64 1/8 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (*.f64 1 (-.f64 1/4 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))) (-.f64 -1/2 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4))) (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)) (sqrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4))) (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2)) 1) (-.f64 -1/2 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2)) 1/4) 1) (+.f64 (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2))
(/.f64 (*.f64 (+.f64 1/8 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))) 1) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4)) (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2))) (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))) (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 2))) (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 2))) (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 4) 1/16) (/.f64 1 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) 1/4))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) 3) 1/64) (/.f64 1 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (+.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 4) 1/16) (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 6) 1/64) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) -1/8))
(/.f64 (*.f64 (+.f64 -1/512 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))) (-.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 6) 1/64) (*.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4) 1) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4) (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4) (*.f64 (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)) (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))) (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))
(/.f64 (/.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) 1) (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))
(/.f64 (/.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (/.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) -1/2) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) -1/2))) (-.f64 (*.f64 9/40 (*.f64 x x)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) -1/2)))
(/.f64 (-.f64 (*.f64 (+.f64 -1/2 (*.f64 9/40 (*.f64 x x))) (+.f64 -1/2 (*.f64 9/40 (*.f64 x x)))) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (+.f64 -1/2 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) 2) 1) (+.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)) (/.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))) (*.f64 (/.f64 1/4 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)) (/.f64 1/4 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)))) (+.f64 (/.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)) (/.f64 1/4 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))
(pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4) (+.f64 (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2)))
(neg.f64 (/.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(exp.f64 (log.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(fma.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2)
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) (/.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (*.f64 (/.f64 1/4 (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) (/.f64 1/4 (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))) (+.f64 (/.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) (/.f64 1/4 (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 4) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (/.f64 (/.f64 1/16 (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 2) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (/.f64 1/4 (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))))
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 4) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (/.f64 (/.f64 -1/16 (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 2) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)))) (/.f64 1/4 (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))))
(pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 1)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)) 2)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)) 3)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(pow.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 3) 1/3)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2) -1/4) (+.f64 (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2)))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2)) (-.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 2)) (-.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))
(neg.f64 (/.f64 (+.f64 -1/8 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3)) (neg.f64 (+.f64 1/4 (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1/2))))))
(/.f64 (-.f64 1/8 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3)) (+.f64 -1/4 (neg.f64 (*.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) (+.f64 1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 3)) (-.f64 -1/4 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) (+.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2))
(fabs.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))
(log.f64 (exp.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2))))
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 3))
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(exp.f64 (log.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) -1/2)
(+.f64 -1/2 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))

eval1.8s (10.2%)

Compiler

Compiled 32494 to 14612 computations (55% saved)

prune414.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New121661222
Fresh044
Picked101
Done325
Total1220121232
Error
0b
Counts
1232 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
30.6b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
31.1b
(/.f64 (+.f64 x (sin.f64 x)) x)
30.4b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
32.3b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
30.6b
(-.f64 1 (/.f64 (sin.f64 x) x))
33.1b
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
30.8b
(+.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
62.1b
(*.f64 1/6 (*.f64 x x))
30.4b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
31.1b
1
33.0b
-1/2
Compiler

Compiled 184 to 123 computations (33.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
0.0b
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
1.3b
(-.f64 (sin.f64 x) x)
1.3b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1898×associate-/l*
1268×associate-/r/
1042×distribute-lft-in
738×associate-/l/
264×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
124827
2362827
Stop Event
node limit
Counts
1 → 96
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Outputs
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simplify100.0ms (0.6%)

Algorithm
egg-herbie
Rules
766×+-commutative
736×associate-/r/
588×associate-+r+
528×associate-+l+
526×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03805774
112505414
256185386
Stop Event
node limit
Counts
108 → 168
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) 1)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (*.f64 1 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x))) (*.f64 1 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))))
(+.f64 (*.f64 1 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) (*.f64 1 (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))))
(+.f64 (*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x) (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x)))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (pow.f64 (/.f64 1 (-.f64 (sin.f64 x) x)) -1))
(*.f64 -1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) -1)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))) (+.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (sin.f64 x) x)) 3))) (+.f64 (*.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (+.f64 (*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (sin.f64 x) x) x))) (pow.f64 (-.f64 (sin.f64 x) x) 2))
(*.f64 (/.f64 1 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) 1)) (*.f64 (+.f64 x (tan.f64 x)) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) 1)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) -1) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x)))) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (cbrt.f64 (neg.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (-.f64 (log.f64 (-.f64 (sin.f64 x) x)) (log.f64 (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
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(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))))
(/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (cbrt.f64 (neg.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (neg.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2) (cbrt.f64 (+.f64 (neg.f64 (tan.f64 x)) x)))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 x (tan.f64 x))))) (cbrt.f64 (-.f64 x (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(fabs.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (-.f64 (log.f64 (-.f64 (sin.f64 x) x)) (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@0
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 1/6 (*.f64 x x))

rewrite81.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1078×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
988×add-cube-cbrt
980×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify38.0ms (0.2%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
746×associate-*r*
702×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
192299
2347299
31900299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 1/6 (*.f64 x x)) 1)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
0.0b
(+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)
0.1b
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40))
0.2b
(*.f64 (*.f64 x x) -27/2800)
Compiler

Compiled 44 to 23 computations (47.7% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40))
0.0ms
x
@inf
(*.f64 (*.f64 x x) -27/2800)
0.0ms
x
@inf
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
0.0ms
x
@0
(*.f64 (*.f64 x x) -27/2800)
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40))

rewrite119.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1174×associate-*r/
956×associate-*l/
780×distribute-rgt-in
748×distribute-lft-in
260×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01184
125684
2335984
Stop Event
node limit
Counts
4 → 237
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) -27/2800)
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40))
(+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
Outputs
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simplify188.0ms (1.1%)

Algorithm
egg-herbie
Rules
930×associate-/l*
920×associate-*r*
834×associate-*l*
786×+-commutative
604×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060016485
1162914987
2742514987
Stop Event
node limit
Counts
285 → 355
Calls
Call 1
Inputs
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
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(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40) -1/2)
(fma.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) (*.f64 x x) -1/2)
(fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))) -1/2)
Outputs
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 x (*.f64 x 9/40))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -27/2800)))) 1)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -27/2800)) 1)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -27/2800))) 3)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 x 6)))
(sqrt.f64 (*.f64 729/7840000 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x)))
(*.f64 -27/2800 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -27/2800)))))
(*.f64 -27/2800 (*.f64 x x))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -27/2800))))
(*.f64 -27/2800 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -27/2800))))
(*.f64 -27/2800 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -27/2800))) 1))
(*.f64 -27/2800 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -27/2800))))
(*.f64 -27/2800 (*.f64 x x))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) 9/40))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 x x) 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) (*.f64 (*.f64 (*.f64 x x) 9/40) 1))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) 9/40) 1) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x -27/2800)) x)) (*.f64 x (*.f64 9/40 x)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 x (*.f64 9/40 x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x -27/2800)) x)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 1 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)) (*.f64 1 (*.f64 (*.f64 (*.f64 x x) 9/40) 1)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -27/2800))) x) (*.f64 (*.f64 x 9/40) x))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 x 9/40) x) (*.f64 (*.f64 x (*.f64 x (*.f64 x -27/2800))) x))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) 9/40) 1) 1))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(/.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) -81/1600) (/.f64 (fma.f64 (*.f64 x x) -27/2800 -9/40) (*.f64 x x)))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 4) -81/1600) (/.f64 (fma.f64 (*.f64 x x) -27/2800 -9/40) (*.f64 x x)))
(/.f64 x (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600))))
(/.f64 (+.f64 729/64000 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3))) (/.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000))) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)) 729/64000) (-.f64 (fma.f64 729/7840000 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -243/112000))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) -81/1600)) (fma.f64 (*.f64 x x) -27/2800 -9/40))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 4) -81/1600) (/.f64 (fma.f64 (*.f64 x x) -27/2800 -9/40) (*.f64 x x)))
(/.f64 x (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000))))
(*.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)) 729/64000) (-.f64 (fma.f64 729/7840000 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -243/112000))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (*.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) -81/1600) (*.f64 x x)) (fma.f64 (*.f64 x x) -27/2800 -9/40))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 4) -81/1600) (/.f64 (fma.f64 (*.f64 x x) -27/2800 -9/40) (*.f64 x x)))
(/.f64 x (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600))))
(/.f64 (*.f64 (+.f64 729/64000 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3))) (*.f64 x x)) (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000))))
(*.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)) 729/64000) (-.f64 (fma.f64 729/7840000 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -243/112000))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (-.f64 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 (*.f64 (*.f64 x x) 9/40) (*.f64 (*.f64 x x) 9/40))) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) 9/40)))
(/.f64 (-.f64 (*.f64 729/7840000 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40))))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -81/1600)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/40)))
(/.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 (*.f64 x x) 9/40) 3)) (+.f64 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 -27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (*.f64 (*.f64 x x) 9/40) (*.f64 (*.f64 x x) 9/40)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) 9/40)))))
(/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (*.f64 729/7840000 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 -27/2800 (*.f64 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3) (*.f64 (pow.f64 x 6) 729/64000)) (fma.f64 729/7840000 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 27/2800 (*.f64 (pow.f64 x 6) 9/40)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) -81/1600))) (fma.f64 (*.f64 x x) -27/2800 -9/40))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 4) -81/1600) (/.f64 (fma.f64 (*.f64 x x) -27/2800 -9/40) (*.f64 x x)))
(/.f64 x (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600))))
(/.f64 (*.f64 x (*.f64 x (+.f64 729/64000 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3))))) (+.f64 (*.f64 729/7840000 (pow.f64 x 4)) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000))))
(*.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 3)) 729/64000) (-.f64 (fma.f64 729/7840000 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 x x) -243/112000))) (*.f64 x x))
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(log.f64 (exp.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)))
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2))))
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2) 3))
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(expm1.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40) 1/2)))
(expm1.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40) 1/2)))
(expm1.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) 1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)))
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)) 1))
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)))
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(fma.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) (*.f64 x x) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40))) -1/2)
(fma.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)) -1/2)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sin.f64 x))
0.0b
(sin.f64 x)
0.0b
(/.f64 (+.f64 x (sin.f64 x)) x)
Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1826×add-sqr-sqrt
1810×*-un-lft-identity
1694×add-cube-cbrt
1674×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
115328
2218828
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 x (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (cbrt.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) x)))))

simplify54.0ms (0.3%)

Algorithm
egg-herbie
Rules
1480×associate-/l*
1438×associate-*r/
844×associate-*l/
818×distribute-lft-in
808×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01891807
14651761
222191761
Stop Event
node limit
Counts
91 → 96
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 2 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 1/120 (pow.f64 x 5))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
x
(+.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) x)
x
(+.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) 1)
(*.f64 1 (+.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 x (sin.f64 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (-.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(pow.f64 (+.f64 x (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (+.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 x))))
(fma.f64 1 x (sin.f64 x))
(fma.f64 1 (sin.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) x)
Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 2 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 2 x))
(*.f64 x (fma.f64 -1/6 (*.f64 x x) 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 1/120 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (*.f64 1/120 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/120 (pow.f64 x 5)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))))
x
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
x
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(fabs.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sin.f64 x)))) 1)
(+.f64 x (sin.f64 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) 1)
(+.f64 x (sin.f64 x))
(*.f64 1 (+.f64 x (sin.f64 x)))
(+.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(+.f64 x (sin.f64 x))
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))
(+.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (cbrt.f64 (+.f64 x (sin.f64 x))))
(+.f64 x (sin.f64 x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(/.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (-.f64 x (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (-.f64 x (sin.f64 x)))
(pow.f64 (+.f64 x (sin.f64 x)) 1)
(+.f64 x (sin.f64 x))
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 2)
(+.f64 x (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 3)
(+.f64 x (sin.f64 x))
(pow.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) 1/3)
(+.f64 x (sin.f64 x))
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2))
(fabs.f64 (+.f64 x (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 x (sin.f64 x))))
(+.f64 x (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sin.f64 x)))))
(+.f64 x (sin.f64 x))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3))
(+.f64 x (sin.f64 x))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 x))))
(+.f64 x (sin.f64 x))
(exp.f64 (log.f64 (+.f64 x (sin.f64 x))))
(+.f64 x (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 x))) 1))
(+.f64 x (sin.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 x))))
(+.f64 x (sin.f64 x))
(fma.f64 1 x (sin.f64 x))
(+.f64 x (sin.f64 x))
(fma.f64 1 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sin.f64 x))
(+.f64 x (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) x)
(+.f64 x (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sin.f64 x))
(+.f64 x (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) x)
(+.f64 x (sin.f64 x))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
1.3b
(-.f64 (sin.f64 x) x)
1.3b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 47 to 12 computations (74.5% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
2.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
0.0ms
x
@0
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))

rewrite122.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1850×associate-/r*
1628×associate-/l*
974×associate-/r/
274×add-sqr-sqrt
264×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01260
127660
2375460
Stop Event
node limit
Counts
2 → 334
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
Outputs
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simplify200.0ms (1.1%)

Algorithm
egg-herbie
Rules
1436×associate-/r*
1270×associate-*r*
1102×*-commutative
1044×associate-*l*
840×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099026676
1316426370
Stop Event
node limit
Counts
358 → 562
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
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-1/8
(-.f64 (*.f64 27/160 (pow.f64 x 2)) 1/8)
(-.f64 (+.f64 (*.f64 27/160 (pow.f64 x 2)) (*.f64 -1863/22400 (pow.f64 x 4))) 1/8)
(-.f64 (+.f64 (*.f64 27/160 (pow.f64 x 2)) (+.f64 (*.f64 -1863/22400 (pow.f64 x 4)) (*.f64 81/4480 (pow.f64 x 6)))) 1/8)
1
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1
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(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
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(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))) (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (*.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x)))) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1)) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (sin.f64 x) x)))) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) 1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (*.f64 x x)))) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (*.f64 x x))))) (-.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3))) (+.f64 1 (fma.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x))))))
-1/8
(-.f64 (*.f64 27/160 (pow.f64 x 2)) 1/8)
(fma.f64 27/160 (*.f64 x x) -1/8)
(-.f64 (+.f64 (*.f64 27/160 (pow.f64 x 2)) (*.f64 -1863/22400 (pow.f64 x 4))) 1/8)
(+.f64 (fma.f64 27/160 (*.f64 x x) (*.f64 (pow.f64 x 4) -1863/22400)) -1/8)
(+.f64 (*.f64 (pow.f64 x 4) -1863/22400) (fma.f64 27/160 (*.f64 x x) -1/8))
(-.f64 (+.f64 (*.f64 27/160 (pow.f64 x 2)) (+.f64 (*.f64 -1863/22400 (pow.f64 x 4)) (*.f64 81/4480 (pow.f64 x 6)))) 1/8)
(+.f64 (fma.f64 27/160 (*.f64 x x) (fma.f64 -1863/22400 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 81/4480))) -1/8)
(+.f64 (fma.f64 -1863/22400 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 81/4480)) (fma.f64 27/160 (*.f64 x x) -1/8))
1
(-.f64 (+.f64 (*.f64 -2 (/.f64 (sin.f64 x) x)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(-.f64 (fma.f64 -2 (/.f64 (sin.f64 x) x) (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -3))
(-.f64 (fma.f64 -2 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))) (/.f64 (*.f64 (sin.f64 x) -3) (*.f64 x (cos.f64 x))))
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(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) -1) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) 1) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (/.f64 (*.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) 1))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x)))))
(/.f64 (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (neg.f64 (-.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) -1) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 3))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)

eval663.0ms (3.8%)

Compiler

Compiled 53946 to 22313 computations (58.6% saved)

prune524.0ms (3%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New194321945
Fresh145
Picked011
Done066
Total1944131957
Error
0b
Counts
1957 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
30.6b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
31.1b
(/.f64 (+.f64 x (sin.f64 x)) x)
30.4b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
32.3b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
30.8b
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
30.6b
(-.f64 1 (/.f64 (sin.f64 x) x))
33.1b
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
33.1b
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
62.1b
(*.f64 1/6 (*.f64 x x))
30.4b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
31.1b
1
33.0b
-1/2
Compiler

Compiled 117 to 79 computations (32.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)
0.1b
(*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40))
0.2b
(*.f64 x (*.f64 x -27/2800))
0.4b
(*.f64 x -27/2800)
Compiler

Compiled 51 to 33 computations (35.3% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40))
0.0ms
x
@0
(*.f64 x -27/2800)
0.0ms
x
@0
(*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40))
0.0ms
x
@-inf
(*.f64 x -27/2800)
0.0ms
x
@inf
(*.f64 x -27/2800)

rewrite78.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
984×*-commutative
880×sqrt-prod
766×unswap-sqr
614×swap-sqr
380×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01270
123662
2267762
Stop Event
node limit
Counts
4 → 112
Calls
Call 1
Inputs
(*.f64 x -27/2800)
(*.f64 x (*.f64 x -27/2800))
(*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40))
(fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)
Outputs
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simplify79.0ms (0.5%)

Algorithm
egg-herbie
Rules
1324×associate-/r*
678×associate-*r*
610×associate-*l*
536×distribute-lft-neg-in
508×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02974074
18013914
235243696
Stop Event
node limit
Counts
160 → 166
Calls
Call 1
Inputs
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
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(pow.f64 (*.f64 x -27/2800) 1)
(pow.f64 (sqrt.f64 (*.f64 x -27/2800)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -27/2800)) 3)
(pow.f64 (*.f64 (*.f64 x x) 729/7840000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -19683/21952000000) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 729/7840000))
(fabs.f64 (*.f64 x -27/2800))
(log.f64 (pow.f64 (exp.f64 x) -27/2800))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -27/2800))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 x -27/2800)))
(exp.f64 (log.f64 (*.f64 x -27/2800)))
(log1p.f64 (expm1.f64 (*.f64 x -27/2800)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) -1)
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(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1))
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(pow.f64 (*.f64 -27/2800 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 729/7840000) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))
(fabs.f64 (*.f64 -27/2800 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -27/2800))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -27/2800 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (*.f64 x x))))
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(+.f64 (*.f64 (*.f64 x x) 9/40) (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 x (*.f64 -27/2800 (*.f64 x x)))) (*.f64 x (*.f64 x 9/40)))
(+.f64 (*.f64 1 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x))) (*.f64 1 (*.f64 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 x (*.f64 -27/2800 (*.f64 x x))) x) (*.f64 (*.f64 x 9/40) x))
(+.f64 (*.f64 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)) 1) (*.f64 (*.f64 (*.f64 x x) 9/40) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)))) 1)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (*.f64 x x)) (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) 9/40) (*.f64 (*.f64 x x) 9/40))) (-.f64 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) 9/40)))
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(pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 3) (pow.f64 x 6)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 4))
(fabs.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) -27/2800 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))))
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(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 1)
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(/.f64 (-.f64 81/1600 (*.f64 (pow.f64 x 4) 729/7840000)) (-.f64 9/40 (*.f64 -27/2800 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 1))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (neg.f64 (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)))))
(pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 2))
(fabs.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
Outputs
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 x (*.f64 x 9/40))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) -1)
(*.f64 -27/2800 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) 1)
(*.f64 -27/2800 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) (exp.f64 (log1p.f64 (*.f64 x -27/2800)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) 1))
(*.f64 -27/2800 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) (exp.f64 (log1p.f64 (*.f64 x -27/2800)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 x -27/2800))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 -27/2800 x)))))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 3 (log1p.f64 (*.f64 -27/2800 x))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 x))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 -27/2800 x)))))))
(pow.f64 (*.f64 x -27/2800) 1)
(*.f64 -27/2800 x)
(pow.f64 (sqrt.f64 (*.f64 x -27/2800)) 2)
(*.f64 -27/2800 x)
(pow.f64 (cbrt.f64 (*.f64 x -27/2800)) 3)
(*.f64 -27/2800 x)
(pow.f64 (*.f64 (*.f64 x x) 729/7840000) 1/2)
(sqrt.f64 (*.f64 x (*.f64 x 729/7840000)))
(pow.f64 (*.f64 (pow.f64 x 3) -19683/21952000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -19683/21952000000))
(sqrt.f64 (*.f64 (*.f64 x x) 729/7840000))
(sqrt.f64 (*.f64 x (*.f64 x 729/7840000)))
(fabs.f64 (*.f64 x -27/2800))
(*.f64 -27/2800 x)
(log.f64 (pow.f64 (exp.f64 x) -27/2800))
(*.f64 -27/2800 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -27/2800))))
(*.f64 -27/2800 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -19683/21952000000))
(expm1.f64 (log1p.f64 (*.f64 x -27/2800)))
(*.f64 -27/2800 x)
(exp.f64 (log.f64 (*.f64 x -27/2800)))
(*.f64 -27/2800 x)
(log1p.f64 (expm1.f64 (*.f64 x -27/2800)))
(*.f64 -27/2800 x)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) -1)
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1)
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -27/2800 x) x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 (*.f64 -27/2800 x) x)) (log1p.f64 (*.f64 (*.f64 -27/2800 x) x)))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 (*.f64 -27/2800 x) x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 27/2800 x) x))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 27/2800 x) x))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 (*.f64 27/2800 x) x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 3)) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))))))
(pow.f64 (*.f64 -27/2800 (*.f64 x x)) 1)
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 3)
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 729/7840000) 1/2)
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 x 6)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(fabs.f64 (*.f64 -27/2800 (*.f64 x x)))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -27/2800))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (*.f64 x x)))))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))
(cbrt.f64 (*.f64 -19683/21952000000 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -27/2800 (*.f64 x x))))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (*.f64 x x))))
(*.f64 (*.f64 -27/2800 x) x)
(*.f64 (*.f64 27/2800 x) x)
(*.f64 -27/2800 (*.f64 x x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)))) -1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) 9/40))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 x x) 9/40) (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 x (*.f64 x (*.f64 -27/2800 (*.f64 x x)))) (*.f64 x (*.f64 x 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 1 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x))) (*.f64 1 (*.f64 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 x (*.f64 -27/2800 (*.f64 x x))) x) (*.f64 (*.f64 x 9/40) x))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(+.f64 (*.f64 (*.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x)) 1) (*.f64 (*.f64 (*.f64 x x) 9/40) 1))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40)))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 (*.f64 -27/2800 x) x -9/40)) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
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(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) -243/112000)))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (*.f64 (*.f64 x x) -243/112000) (fma.f64 (pow.f64 x 4) 729/7840000 81/1600)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 729/7840000) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(+.f64 (/.f64 729/7840000 (/.f64 (fma.f64 (*.f64 -27/2800 x) x -9/40) (pow.f64 x 4))) (/.f64 -81/1600 (fma.f64 (*.f64 -27/2800 x) x -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 (*.f64 -27/2800 x) x -9/40))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (-.f64 81/1600 (*.f64 -27/2800 (*.f64 x (*.f64 x 9/40))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) -243/112000)))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (*.f64 (*.f64 x x) -243/112000) (fma.f64 (pow.f64 x 4) 729/7840000 81/1600)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 81/1600 (-.f64 (*.f64 (pow.f64 x 4) 729/7840000) (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (-.f64 81/1600 (*.f64 -27/2800 (*.f64 x (*.f64 x 9/40))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) -243/112000)))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (*.f64 (*.f64 x x) -243/112000) (fma.f64 (pow.f64 x 4) 729/7840000 81/1600)))
(/.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 729/7840000) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(+.f64 (/.f64 729/7840000 (/.f64 (fma.f64 (*.f64 -27/2800 x) x -9/40) (pow.f64 x 4))) (/.f64 -81/1600 (fma.f64 (*.f64 -27/2800 x) x -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 (*.f64 -27/2800 x) x -9/40))
(/.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (-.f64 81/1600 (*.f64 -27/2800 (*.f64 x (*.f64 x 9/40))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) -243/112000)))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (*.f64 (*.f64 x x) -243/112000) (fma.f64 (pow.f64 x 4) 729/7840000 81/1600)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) 1) (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 729/7840000) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(+.f64 (/.f64 729/7840000 (/.f64 (fma.f64 (*.f64 -27/2800 x) x -9/40) (pow.f64 x 4))) (/.f64 -81/1600 (fma.f64 (*.f64 -27/2800 x) x -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 (*.f64 -27/2800 x) x -9/40))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) 1) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (-.f64 81/1600 (*.f64 -27/2800 (*.f64 x (*.f64 x 9/40))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) -243/112000)))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (*.f64 (*.f64 x x) -243/112000) (fma.f64 (pow.f64 x 4) 729/7840000 81/1600)))
(/.f64 (-.f64 81/1600 (*.f64 (pow.f64 x 4) 729/7840000)) (-.f64 9/40 (*.f64 -27/2800 (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 729/7840000) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(+.f64 (/.f64 729/7840000 (/.f64 (fma.f64 (*.f64 -27/2800 x) x -9/40) (pow.f64 x 4))) (/.f64 -81/1600 (fma.f64 (*.f64 -27/2800 x) x -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 (*.f64 -27/2800 x) x -9/40))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 1))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -27/2800 x) x 9/40))) 3)) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -27/2800 x) x 9/40))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 (*.f64 -27/2800 x) x 9/40)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (exp.f64 (*.f64 2 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (neg.f64 (+.f64 (*.f64 -27/2800 (*.f64 x x)) -9/40)))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 729/7840000) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(+.f64 (/.f64 729/7840000 (/.f64 (fma.f64 (*.f64 -27/2800 x) x -9/40) (pow.f64 x 4))) (/.f64 -81/1600 (fma.f64 (*.f64 -27/2800 x) x -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 (*.f64 -27/2800 x) x -9/40))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (-.f64 81/1600 (*.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (-.f64 81/1600 (*.f64 -27/2800 (*.f64 x (*.f64 x 9/40))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 (*.f64 x x) -243/112000)))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 6) 729/64000) (+.f64 (*.f64 (*.f64 x x) -243/112000) (fma.f64 (pow.f64 x 4) 729/7840000 81/1600)))
(pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 1)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)) 2)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)) 3)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 2) 1/2)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 3) 1/3)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 2))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(fabs.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -27/2800 9/40))))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -27/2800 9/40) 3))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -27/2800 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.1b
(/.f64 (sin.f64 x) x)
1.3b
(-.f64 1 (/.f64 (sin.f64 x) x))
Compiler

Compiled 15 to 6 computations (60% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite61.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1784×*-un-lft-identity
1662×add-cube-cbrt
1646×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116628
2216328
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))

simplify56.0ms (0.3%)

Algorithm
egg-herbie
Rules
1012×fma-def
976×associate-/l*
828×associate-*r/
744×unswap-sqr
708×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792104
14361854
217681656
Stop Event
node limit
Counts
78 → 98
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (*.f64 x x) -1/6)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 x (*.f64 x -1/6) 1))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))))
(+.f64 (fma.f64 (*.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(+.f64 (fma.f64 x (*.f64 x -1/6) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(-.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
0.1b
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
2.1b
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 42 to 9 computations (78.6% saved)

series5.0ms (0%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
0.0ms
x
@inf
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
0.0ms
x
@inf
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
0.0ms
x
@-inf
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
0.0ms
x
@0
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))

rewrite108.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
808×distribute-rgt-in
768×distribute-lft-in
636×associate-/l/
612×distribute-lft-neg-in
598×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01168
124668
2362168
Stop Event
node limit
Counts
4 → 259
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
Outputs
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simplify112.0ms (0.6%)

Algorithm
egg-herbie
Rules
1166×associate-*r*
1072×associate-*l*
656×associate-/l*
596×*-commutative
592×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066411511
1184511123
Stop Event
node limit
Counts
283 → 382
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -529/24192 (pow.f64 x 9)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (*.f64 -529/24192 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
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(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))))
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(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) 3)) (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1))))
(pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
Outputs
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 5)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -13/240 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -529/24192 (pow.f64 x 9)) (+.f64 (*.f64 -13/240 (pow.f64 x 7)) (*.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -529/24192 (pow.f64 x 9) (fma.f64 -13/240 (pow.f64 x 7) (*.f64 -1/8 (pow.f64 x 5)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -13/240 (pow.f64 x 6))))
(+.f64 (*.f64 -529/24192 (pow.f64 x 8)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -13/240 (pow.f64 x 6)))))
(fma.f64 -529/24192 (pow.f64 x 8) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -13/240 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 13/240 (pow.f64 x 6)))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) 13/240))))
1
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (sin.f64 x) x))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (sin.f64 x) x))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (sin.f64 x) x))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (/.f64 (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (/.f64 (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (/.f64 (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x))
(+.f64 (sin.f64 x) (neg.f64 (tan.f64 x)))
(-.f64 (sin.f64 x) (tan.f64 x))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (tan.f64 x))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) 0) (tan.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) 0) (tan.f64 x)))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) 0) (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)))
(+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (tan.f64 x))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) 0) (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) 0) (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (-.f64 (sin.f64 x) (tan.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) 0) (tan.f64 x)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(-.f64 (+.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (tan.f64 x)) (-.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (*.f64 2 (*.f64 (neg.f64 (tan.f64 x)) 0)))
(+.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (/.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))) (-.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))) (-.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))) (-.f64 (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) 1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (-.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) 1)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) -1))))) (+.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) 3)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1) (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)) (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (/.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1))
(/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))) (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 1 (/.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 2) (neg.f64 x)) (neg.f64 x))) (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 4)) (*.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 6)) (+.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 6)) (+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) (-.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)) (+.f64 -1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) 3)) (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) 3)) (*.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) 1) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 4)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 6)) (*.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 4)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) (+.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 3)) (*.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 1) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 6)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 6) 1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)) (+.f64 -1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2) (+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (neg.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3)) (-.f64 (+.f64 -1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2)))
(pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 1)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 2)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 3)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3) 1/3)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))) 1))
(exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@inf
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 9/40 (*.f64 x x))

rewrite49.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1078×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
988×add-cube-cbrt
980×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 9/40 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify41.0ms (0.2%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
760×associate-*r*
696×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
193299
2348299
31913299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))

eval200.0ms (1.1%)

Compiler

Compiled 13874 to 6913 computations (50.2% saved)

prune113.0ms (0.6%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New6841685
Fresh022
Picked011
Done2810
Total68612698
Error
0b
Counts
698 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
30.4b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
30.6b
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
31.1b
(/.f64 (+.f64 x (sin.f64 x)) x)
32.3b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
30.8b
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
30.6b
(-.f64 1 (/.f64 (sin.f64 x) x))
33.1b
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
33.1b
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
62.1b
(*.f64 1/6 (*.f64 x x))
30.4b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
31.1b
1
33.0b
-1/2
Compiler

Compiled 102 to 70 computations (31.4% saved)

regimes36.0ms (0.2%)

Counts
20 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
Outputs
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

26.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 184 to 88 computations (52.2% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.0036101984314236115
2.1547728571193256
28.0ms
-20712211452.18143
-0.0014584212076996716
Results
44.0ms288×body256valid
Compiler

Compiled 482 to 325 computations (32.6% saved)

regimes22.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
Outputs
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 85 to 50 computations (41.2% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.1547728571193256
86.93540498830214
28.0ms
-20712211452.18143
-0.0014584212076996716
Results
42.0ms272×body256valid
Compiler

Compiled 473 to 349 computations (26.2% saved)

regimes20.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
Outputs
1
(+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2)
(/.f64 (+.f64 x (sin.f64 x)) x)
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 76 to 45 computations (40.8% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.1547728571193256
86.93540498830214
27.0ms
-20712211452.18143
-0.0014584212076996716
Results
42.0ms272×body256valid
Compiler

Compiled 372 to 278 computations (25.3% saved)

regimes22.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
Outputs
1
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(/.f64 (+.f64 x (sin.f64 x)) x)
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 62 to 36 computations (41.9% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.1547728571193256
86.93540498830214
27.0ms
-20712211452.18143
-0.0014584212076996716
Results
42.0ms272×body256valid
Compiler

Compiled 355 to 244 computations (31.3% saved)

regimes14.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
Outputs
1
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2)
1
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 36 to 22 computations (38.9% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.1547728571193256
86.93540498830214
27.0ms
-20712211452.18143
-0.0014584212076996716
Results
43.0ms272×body256valid
Compiler

Compiled 320 to 230 computations (28.1% saved)

regimes11.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
1
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.1547728571193256
86.93540498830214
27.0ms
-20712211452.18143
-0.0014584212076996716
Results
43.0ms272×body256valid
Compiler

Compiled 218 to 179 computations (17.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total -62.2b remaining (-5876.7%)

Threshold costs -62.2b (-5876.7%)

Counts
3 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 1/6 (*.f64 x x))
Outputs
1
-1/2
1
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.0036101984314236115
2.1547728571193256
27.0ms
-20712211452.18143
-0.0014584212076996716
Results
44.0ms288×body256valid
Compiler

Compiled 122 to 117 computations (4.1% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×+-commutative
20×*-commutative
18×sub-neg
10×neg-sub0
distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065466
199466
2113466
3124466
4142466
5147466
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -5854679515581645/2251799813685248) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2) (/.f64 (+.f64 x (sin.f64 x)) x)))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (/.f64 (+.f64 x (sin.f64 x)) x)))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) 1))
(if (<=.f64 x -2871044762448691/1125899906842624) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -5854679515581645/2251799813685248) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -5854679515581645/2251799813685248) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(if (or (<=.f64 x -5854679515581645/2251799813685248) (not (<=.f64 x 5854679515581645/2251799813685248))) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (+.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40))))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40)) -1/2) (/.f64 (+.f64 x (sin.f64 x)) x)))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 1 (*.f64 x (*.f64 x -27/2800)) 9/40))) (/.f64 (+.f64 x (sin.f64 x)) x)))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (/.f64 (+.f64 x (sin.f64 x)) x)))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) 1))
(if (<=.f64 x -2871044762448691/1125899906842624) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1))
(if (<=.f64 x -2871044762448691/1125899906842624) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 x x) 9/40) -1/2) 1))
(if (<=.f64 x -2871044762448691/1125899906842624) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 -1/2 (*.f64 (*.f64 x x) 9/40)) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Compiler

Compiled 188 to 131 computations (30.3% saved)

soundness950.0ms (5.5%)

Algorithm
egg-herbie
Rules
1468×associate-*r*
1298×associate-/l*
1284×associate-*l*
1166×associate-*r*
1072×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
03805774
112505414
256185386
066411511
1184511123
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
070113438
1215113284
Stop Event
node limit
saturated
node limit
node limit
saturated
Compiler

Compiled 557 to 229 computations (58.9% saved)

end86.0ms (0.5%)

Compiler

Compiled 181 to 111 computations (38.7% saved)

Profiling

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