Details

Time bar (total: 18.3s)

analyze455.0ms (2.5%)

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)

sample7.7s (41.9%)

Results
4.7s2009×body2048valid
1.9s3229×body1024valid
458.0ms1521×body512valid
370.0ms1396×body256valid
134.0ms101×body4096valid
Bogosity

preprocess156.0ms (0.9%)

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)

simplify151.0ms (0.8%)

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
27.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
27.9b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (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))
1.1b
(-.f64 (tan.f64 x) x)
1.1b
(-.f64 (sin.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
@-inf
(-.f64 (tan.f64 x) x)
0.0ms
x
@0
(-.f64 (tan.f64 x) x)
0.0ms
x
@inf
(-.f64 (tan.f64 x) x)

rewrite129.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1602×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 (sin.f64 x) x)
(-.f64 (tan.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)))))))

simplify143.0ms (0.8%)

Algorithm
egg-herbie
Rules
1478×associate-*r*
1308×associate-/l*
1296×associate-*l*
874×associate-/r*
670×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070113376
1214313222
Stop Event
node limit
Counts
304 → 449
Calls
Call 1
Inputs
(*.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))
(*.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))
-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 (sin.f64 x) (neg.f64 x))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (sin.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (sin.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 (sin.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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) (sin.f64 x))
(+.f64 (neg.f64 x) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (sin.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (sin.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 (sin.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (sin.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (sin.f64 x) x))
(+.f64 (-.f64 (sin.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (sin.f64 x) x) 1)
(*.f64 1 (-.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) 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 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (sin.f64 x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.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 (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 (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 (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 (*.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 (sin.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.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 x x)) (/.f64 1 (/.f64 1 (+.f64 x (sin.f64 x)))))
(/.f64 (+.f64 x (sin.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (sin.f64 x) x)))
(/.f64 (-.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) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.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 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (sin.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.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)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.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)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 1 (neg.f64 (+.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(/.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (sin.f64 x) (neg.f64 x)))
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(*.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 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 (+.f64 (pow.f64 (tan.f64 x) 2) (*.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 (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 (*.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 (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 (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 (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 (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 (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) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.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 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 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) 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 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.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))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.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)))))
(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 -1/5040 (pow.f64 x 7)))))
(*.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)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))
(+.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 (pow.f64 x 5) 2/15)))
(+.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 (pow.f64 x 5) 2/15))))
(*.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))
-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 (/.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 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (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 (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 (pow.f64 (sin.f64 x) 2) (*.f64 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 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 1 (-.f64 (tan.f64 x) x)) (/.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) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 x (*.f64 (+.f64 x (sin.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 (*.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 (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 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 (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 x (*.f64 x (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))))) (*.f64 x (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 x (sin.f64 x))))) (/.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 (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)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.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))))))
(*.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 (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x 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 (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 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(*.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 (tan.f64 x) x) (-.f64 (sin.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 (sin.f64 x) 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 (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 (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 (tan.f64 x) x) (-.f64 (sin.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 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (-.f64 (sin.f64 x) 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 (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) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)))
(*.f64 (/.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 (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 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (/.f64 (-.f64 (tan.f64 x) x) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (+.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 (*.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)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.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 (tan.f64 x) x) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (sin.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)

eval176.0ms (1%)

Compiler

Compiled 11042 to 3902 computations (64.7% saved)

prune114.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4409449
Fresh000
Picked011
Done000
Total44010450
Error
0b
Counts
450 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
(fma.f64 9/40 (*.f64 x x) -1/2)
27.9b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
29.3b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
35.4b
(-.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)
35.7b
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
28.3b
(+.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
28.0b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
27.9b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
29.0b
1
35.5b
-1/2
Compiler

Compiled 186 to 134 computations (28% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.1b
(-.f64 (tan.f64 x) x)
1.1b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 44 to 8 computations (81.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1704×associate-/r*
1598×associate-/l*
910×associate-/r/
570×associate-/l/
248×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
124527
2336727
Stop Event
node limit
Counts
1 → 185
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
Outputs
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simplify158.0ms (0.9%)

Algorithm
egg-herbie
Rules
964×associate-/l*
836×associate-/r*
806×associate-*r*
736×*-commutative
688×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060713835
1201913189
Stop Event
node limit
Counts
197 → 342
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)))))
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(+.f64 1 (-.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1))
(+.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) -1)
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(+.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) 1)
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (-.f64 (/.f64 x (-.f64 (tan.f64 x) x)) -1))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (+.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1))
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
(*.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 (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 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)) (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)))
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(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.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 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (-.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 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.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)) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (pow.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 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 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 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 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 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 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) x)) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (tan.f64 x) x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (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 (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 (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 (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 (neg.f64 (-.f64 (sin.f64 x) x)) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (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 (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 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) 1) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (+.f64 x (sin.f64 x)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) (cbrt.f64 (+.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))) 1) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) 1) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) 1) (pow.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (+.f64 x (sin.f64 x))) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (tan.f64 x) 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)))
(exp.f64 (log.f64 (/.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))
(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)
(+.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 1 (/.f64 (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (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 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)))))
(+.f64 1 (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 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 (*.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))) 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))))
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (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 1 (/.f64 (neg.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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(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 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))
(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 (-.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))
(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))
(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 (-.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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(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
@inf
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite49.0ms (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)))))))

simplify49.0ms (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)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
0.0b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.1b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite96.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1814×add-sqr-sqrt
1798×*-un-lft-identity
1682×add-cube-cbrt
1662×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
118122
2274822
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(tan.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 x)))))))

simplify51.0ms (0.3%)

Algorithm
egg-herbie
Rules
1198×times-frac
954×associate-/l*
940×unswap-sqr
778×fma-def
684×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851793
14601771
219841759
Stop Event
node limit
Counts
85 → 110
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
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 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 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 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) 1)
(*.f64 1 (tan.f64 x))
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(log1p.f64 (expm1.f64 (tan.f64 x)))
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x)))
(+.f64 (fma.f64 x (*.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/3 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))
(fma.f64 (pow.f64 x 3) 1/3 (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)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 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 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(/.f64 x (+.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 x (+.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(/.f64 x (+.f64 x (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(/.f64 x (+.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 1 (tan.f64 x))
(tan.f64 x)
(*.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(tan.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (tan.f64 x) 1)
(tan.f64 x)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(tan.f64 x)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(tan.f64 x)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(tan.f64 x)
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(tan.f64 x)
(log.f64 (exp.f64 (tan.f64 x)))
(tan.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(tan.f64 x)
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(tan.f64 x)
(expm1.f64 (log1p.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) 1))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 (tan.f64 x) x))
0.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
1.1b
(-.f64 (tan.f64 x) x)
1.1b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 32 to 11 computations (65.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
992×distribute-rgt-in
964×associate-/r*
946×distribute-lft-in
822×associate-/l*
608×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
123844
2327044
Stop Event
node limit
Counts
2 → 211
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 1 (-.f64 (tan.f64 x) x))
Outputs
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simplify132.0ms (0.7%)

Algorithm
egg-herbie
Rules
920×associate-/l*
784×associate-*r*
738×associate-*l*
730×associate-/r*
652×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067314333
1205013459
Stop Event
node limit
Counts
235 → 344
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
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(/.f64 3 (pow.f64 x 3))
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(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
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(/.f64 -1 x)
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(/.f64 -1 x)
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(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (*.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 (-.f64 (sin.f64 x) x) -1) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 -1 (-.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 -1 (-.f64 (sin.f64 x) x)) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 -1 (-.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 -1 (-.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 -1 (-.f64 (sin.f64 x) x)) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 -1 (-.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 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) 1) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (+.f64 x (sin.f64 x)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) (cbrt.f64 (+.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))) 1) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) 1) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (-.f64 (tan.f64 x) x))) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (+.f64 x (sin.f64 x))) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) -1) (+.f64 x (sin.f64 x))) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) -1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (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 (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 (neg.f64 (-.f64 (sin.f64 x) x)) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (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 (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 (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 (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)))
(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 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (/.f64 1 (pow.f64 (-.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 (-.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))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (tan.f64 x))))
(+.f64 (*.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(+.f64 (*.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 -1 (/.f64 -1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.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)) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (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 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 1 (+.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 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (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 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 -1 (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 1 (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 1 (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 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.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)
(+.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)
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(+.f64 (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.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 1 (-.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) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (*.f64 x (tan.f64 x)) (/.f64 1 (-.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 1 (-.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) 3) (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 -1 (/.f64 -1 (-.f64 (tan.f64 x) x)))
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (-.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 1 (-.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) 3) (pow.f64 x 3)))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)))
(*.f64 (fma.f64 x x (pow.f64 (tan.f64 x) 2)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 x (tan.f64 x)) (fma.f64 x x (pow.f64 (tan.f64 x) 2))) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4)))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (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 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.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) 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.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 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.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) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (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 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 -1 (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 1 (-.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) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (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 1 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (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 1 (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 1 (*.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 (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 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (tan.f64 x) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6))))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -27/2800 (pow.f64 x 4))
22.3b
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite63.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1862×add-sqr-sqrt
1828×*-un-lft-identity
1714×add-cube-cbrt
1702×add-cbrt-cube
202×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
122640
2244840
Stop Event
node limit
Counts
2 → 36
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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 9/40 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(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 (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 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))

simplify57.0ms (0.3%)

Algorithm
egg-herbie
Rules
1244×associate-/l*
720×associate-/r*
648×unswap-sqr
556×fma-def
534×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951236
12311190
211381170
344991170
Stop Event
node limit
Counts
48 → 50
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)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 9/40 x) x))
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) (*.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(*.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)))))
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(*.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)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
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)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.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)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.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)))
(fma.f64 9/40 (*.f64 x x) (*.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)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.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)))
(fma.f64 9/40 (*.f64 x x) (*.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)))
(fma.f64 9/40 (*.f64 x x) (*.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)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.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)))
(fma.f64 9/40 (*.f64 x x) (*.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)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 9/40 x) x))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(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)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.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)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.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)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (*.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x))) (*.f64 (pow.f64 x 8) 729/7840000)) (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 27/2800 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 (pow.f64 x 4) 27/2800 (*.f64 9/40 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) (*.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 9/40 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) -243/112000)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 (*.f64 -19683/21952000000 (pow.f64 (*.f64 x x) 6))) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) 243/112000) 81/1600))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)
(*.f64 -27/2800 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(*.f64 -27/2800 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))
(*.f64 -27/2800 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))
(*.f64 -27/2800 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))

eval751.0ms (4.1%)

Compiler

Compiled 43203 to 16152 computations (62.6% saved)

prune1.5s (8.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New173561741
Fresh134
Picked101
Done235
Total1739121751
Error
0b
Counts
1751 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
27.9b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
29.3b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
27.9b
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
35.4b
(-.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)
35.1b
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
28.3b
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
35.7b
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
35.1b
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
28.0b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
29.4b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
29.0b
1
35.5b
-1/2
Compiler

Compiled 214 to 159 computations (25.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
0.0b
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
1.1b
(-.f64 (tan.f64 x) x)
1.1b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 48 to 13 computations (72.9% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
1.0ms
x
@-inf
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
0.0ms
x
@0
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)

rewrite95.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1788×associate-/l*
1156×associate-/r/
344×associate-+l+
328×+-commutative
318×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
129227
2443927
Stop Event
node limit
Counts
1 → 151
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
Outputs
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simplify174.0ms (1%)

Algorithm
egg-herbie
Rules
618×distribute-lft-in
594×associate-/l*
590×*-commutative
570×distribute-rgt-in
566×associate-+r-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050811627
1163910973
2765210973
Stop Event
node limit
Counts
163 → 268
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 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.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)) 0)
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(+.f64 2 (+.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -2) 0))
(+.f64 2 (-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -2) 0))
(+.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -2)
(+.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(+.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -2) 2)
(+.f64 -2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 0))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (-.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 0))
(+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (+.f64 0 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 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 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 (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 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4) (/.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 4)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8) (/.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) 4))))
(*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8)) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) 4) (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (neg.f64 (-.f64 (sin.f64 x) x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4))) (/.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 4) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (sin.f64 x) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8))) (/.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) 4)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8))) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) 4) (*.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 (sin.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (sin.f64 x) x)))) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (neg.f64 (-.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 x (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 -1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 0) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.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 (+.f64 0 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) (-.f64 0 (*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 0))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (+.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.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 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (pow.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4)) (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8)) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) 4))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 (-.f64 (tan.f64 x) 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 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(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))
(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 (-.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))))
(fma.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)) 0)
(fma.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 0)
(fma.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -2)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) -2)
(fma.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))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) -2)
(fma.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))) 0)
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)
(+.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 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 x x))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (sin.f64 x) x))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 x x))) (-.f64 (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))
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 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.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 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.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 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(-.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 x x)))
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(/.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)) 2))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) (+.f64 (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (/.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 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (fma.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (/.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 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (fma.f64 (/.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 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 (-.f64 (tan.f64 x) x) x)) (pow.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (-.f64 (*.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (pow.f64 (-.f64 (tan.f64 x) x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4)) (neg.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 4)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)) 4) (+.f64 (neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) -4))
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)) (-.f64 -4 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8)) (neg.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) 4))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)) 8) (neg.f64 (fma.f64 2 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (+.f64 4 (pow.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))))
(/.f64 (-.f64 8 (pow.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)) (+.f64 (neg.f64 (*.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (+.f64 4 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) -4))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.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 (/.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 (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))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.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))
(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 (-.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))
(fma.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)) 0)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 0)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) -2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) -2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.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))) 0)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) -2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.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))) 0)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 9/40 x) x)
0.2b
(*.f64 9/40 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite79.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1108×add-sqr-sqrt
1090×*-un-lft-identity
1034×pow1
1016×add-cube-cbrt
1002×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112120
2138320
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 9/40 x)
(*.f64 (*.f64 9/40 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 x)))))))
((#(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 (sqrt.f64 9/40) x) 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 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))))) (#(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))))))))

simplify46.0ms (0.3%)

Algorithm
egg-herbie
Rules
1414×associate-*r*
1312×associate-+l+
1270×associate-*l*
1238×associate-+r+
1114×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057508
1142442
2554376
33918376
Stop Event
node limit
Counts
34 → 27
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 x)) 1)
(pow.f64 (*.f64 9/40 x) 1)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(sqrt.f64 (*.f64 81/1600 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 9/40) x))
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(exp.f64 (log.f64 (*.f64 9/40 x)))
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 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 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))
(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 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 9/40 x)) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (*.f64 9/40 x) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(sqrt.f64 (*.f64 81/1600 (*.f64 x x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log.f64 (pow.f64 (exp.f64 9/40) x))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(exp.f64 (log.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)
(*.f64 9/40 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2))
(*.f64 9/40 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(*.f64 9/40 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))
(*.f64 9/40 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 x)
0.0b
(/.f64 1 (-.f64 (tan.f64 x) x))
0.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
1.1b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1976×add-sqr-sqrt
1956×*-un-lft-identity
1826×add-cube-cbrt
1802×add-cbrt-cube
212×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
121317
2294117
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))

simplify52.0ms (0.3%)

Algorithm
egg-herbie
Rules
1358×associate-/r/
1122×distribute-rgt-in
1112×distribute-lft-in
640×associate-*r*
622×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098989
1232985
2825973
34293973
Stop Event
node limit
Counts
37 → 58
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 x (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))
(/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 x 1) (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(/.f64 (/.f64 -3 x) x)
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (/.f64 (/.f64 -3 x) x))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 (/.f64 -3 x) x)))
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x)))
(+.f64 (fma.f64 x (*.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 (/.f64 -3 x) x)))
(+.f64 (fma.f64 x (*.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 x (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 (/.f64 x 1) (+.f64 x (tan.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(/.f64 x (+.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 x (+.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(/.f64 x (+.f64 x (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(/.f64 x (+.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 20 computations (37.5% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite122.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
954×associate-*r/
784×*-commutative
744×associate-*l/
694×distribute-lft-in
656×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
123734
2298334
Stop Event
node limit
Counts
2 → 177
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
Outputs
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simplify151.0ms (0.8%)

Algorithm
egg-herbie
Rules
1322×associate--r+
838×distribute-lft-in
718×distribute-rgt-in
596×associate-+r-
592×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044711567
1129710973
2656210961
Stop Event
node limit
Counts
201 → 299
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)
1/2
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 9/40 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x)))
(+.f64 -1/2 (+.f64 (*.f64 9/40 (*.f64 x x)) 0))
(+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) -1)
(+.f64 0 (fma.f64 9/40 (*.f64 x x) -1/2))
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 -1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2)
(+.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) -3/2)
(+.f64 (+.f64 -1 (*.f64 9/40 (*.f64 x x))) 1/2)
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 9/40 (*.f64 x x)))) -1/2)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(*.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 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))) (-.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 1) (+.f64 1 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (+.f64 -1 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3)))
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(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) -1)
(-.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 0)
(-.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2) 1)
(-.f64 (/.f64 1 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) (-.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2))))
(*.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))
(*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (/.f64 1 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(*.f64 (/.f64 1 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1)) (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (+.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (-.f64 1 (*.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))))) (-.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) 3))) (+.f64 1 (*.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) (-.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1)) (+.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (/.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))) (/.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (*.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (*.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 3)) (*.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 3)) (*.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (neg.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1)) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))) (sqrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))) (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) 1) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) 1) (neg.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))) (sqrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2))) (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (/.f64 1 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 3)) (/.f64 1 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) 1) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) 1) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (sqrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (sqrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (*.f64 (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) 1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (*.f64 (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)))) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (+.f64 1 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (-.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (neg.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3))
(expm1.f64 (log.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))
(exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(fma.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(fma.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)) 1)
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 (*.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)
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(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 6)) (+.f64 (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 6)) (+.f64 3/2 (+.f64 (*.f64 (*.f64 x x) -9/40) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))) (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 3)) (+.f64 (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) -1))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 3)) (+.f64 3/2 (+.f64 (*.f64 (*.f64 x x) -9/40) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))) (fma.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) 1) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (+.f64 3/2 (*.f64 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) 1) (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) -1) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (sqrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (sqrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (+.f64 3/2 (*.f64 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (*.f64 (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))) (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (cbrt.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (+.f64 3/2 (*.f64 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) 1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) 1) (+.f64 (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (+.f64 3/2 (+.f64 (*.f64 (*.f64 x x) -9/40) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) 1) (+.f64 (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (+.f64 3/2 (+.f64 (*.f64 (*.f64 x x) -9/40) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) 1) (+.f64 (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (+.f64 3/2 (+.f64 (*.f64 (*.f64 x x) -9/40) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2))) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) -1) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (*.f64 (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)))) (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) -1) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) 1) (+.f64 1 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (-.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) -1) (*.f64 (+.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) -1) (+.f64 1 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (*.f64 (+.f64 1 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (+.f64 -1 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))
(pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1)
(fma.f64 9/40 (*.f64 x x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 2)
(fma.f64 9/40 (*.f64 x x) 1/2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)) 3)
(fma.f64 9/40 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3) 1/3)
(fma.f64 9/40 (*.f64 x x) 1/2)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (neg.f64 (-.f64 3/2 (*.f64 9/40 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) -1) (fma.f64 9/40 (*.f64 x x) -3/2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (fma.f64 9/40 (*.f64 x x) -3/2))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2) (-.f64 3/2 (*.f64 9/40 (*.f64 x x)))))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (neg.f64 (+.f64 (+.f64 3/2 (*.f64 -9/40 (*.f64 x x))) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (-.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 2))
(fabs.f64 (fma.f64 9/40 (*.f64 x x) 1/2))
(log.f64 (exp.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(fma.f64 9/40 (*.f64 x x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2))))
(fma.f64 9/40 (*.f64 x x) 1/2)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 3))
(fma.f64 9/40 (*.f64 x x) 1/2)
(expm1.f64 (log.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 3/2)))
(expm1.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 1/2)))
(fma.f64 9/40 (*.f64 x x) 1/2)
(fma.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(fma.f64 9/40 (*.f64 x x) 1/2)
(fma.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)) 1)
(fma.f64 9/40 (*.f64 x x) 1/2)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -27/2800 (pow.f64 x 4))
0.1b
(*.f64 (*.f64 9/40 x) x)
0.2b
(*.f64 9/40 x)
22.0b
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite76.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1004×*-commutative
794×unswap-sqr
632×swap-sqr
434×distribute-lft-in
428×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
124127
2294427
Stop Event
node limit
Counts
1 → 89
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(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 (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 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))))) (#(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 (*.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1)))) (#(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 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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simplify91.0ms (0.5%)

Algorithm
egg-herbie
Rules
1480×distribute-lft-in
1404×associate-/r*
1066×associate-*r/
846×associate-*l/
412×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02827075
17756525
231716525
Stop Event
node limit
Counts
101 → 160
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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (*.f64 9/40 (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))
(-.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1)
(*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(*.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)))))
(*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(*.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)))))
(*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (-.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 2))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (pow.f64 x 4) 27/2800) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) -9/40)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) 3))) (+.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) 27/2800))) (*.f64 (pow.f64 x 4) 81/1600)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/6))
(/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 1 (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))) (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))) (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 -81/1600 (pow.f64 x 4))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) -9/40)))
(/.f64 (-.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (*.f64 531441/61465600000000 (pow.f64 x 16))) (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) 3)) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))) (-.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (*.f64 (pow.f64 x 8) 729/7840000) 3)) (*.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) (+.f64 (+.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (*.f64 531441/61465600000000 (pow.f64 x 16))) (*.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 -81/1600 (pow.f64 x 4))) 1) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 (*.f64 x x) -9/40)))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) 1) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (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 (pow.f64 x 4) 27/2800))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000))) (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 (pow.f64 x 4) 27/2800))))
(/.f64 (*.f64 (-.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (*.f64 531441/61465600000000 (pow.f64 x 16))) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (*.f64 (pow.f64 x 8) 729/7840000) 3)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) (+.f64 (+.f64 (*.f64 6561/2560000 (pow.f64 x 8)) (*.f64 531441/61465600000000 (pow.f64 x 16))) (*.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 3) (pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))) (-.f64 (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) 1) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)))) (-.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 x (*.f64 9/40 x) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (*.f64 9/40 x) x (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (*.f64 x x)))
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x)))
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 9/40 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x)))
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 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x 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 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (+.f64 1 (*.f64 (pow.f64 x 4) 27/2800)))
(fma.f64 -27/2800 (pow.f64 x 4) (expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) -7625597484987/10578455953408000000000000000000 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 3)) (*.f64 (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000)) (+.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) (fma.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 19683/21952000000))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 4) 3) 3) -7625597484987/10578455953408000000000000000000 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) 3)) (*.f64 (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000)) (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6)) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 19683/21952000000)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) 1) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)))) (-.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (*.f64 (-.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800))) (fma.f64 x (sqrt.f64 9/40) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (*.f64 (*.f64 x (+.f64 (sqrt.f64 9/40) (*.f64 x (sqrt.f64 -27/2800)))) (*.f64 x (-.f64 (sqrt.f64 9/40) (*.f64 x (sqrt.f64 -27/2800))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 -27/2800 (*.f64 9/40 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 -27/2800 (*.f64 9/40 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 -27/2800 (*.f64 9/40 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000)))
(pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 -27/2800 (*.f64 9/40 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (*.f64 (*.f64 x x) -243/112000)) (*.f64 (pow.f64 x 8) 729/7840000)))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2))
(fabs.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))
(fabs.f64 (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 x (*.f64 9/40 x) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 (*.f64 9/40 x) x (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (*.f64 x x)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 (sqrt.f64 -27/2800) (*.f64 x x)) (*.f64 9/40 (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 9/40 (*.f64 x x)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 -27/2800) (sqrt.f64 -27/2800))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x)))

eval699.0ms (3.8%)

Compiler

Compiled 44150 to 23392 computations (47% saved)

prune477.0ms (2.6%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New157951584
Fresh044
Picked101
Done167
Total1581151596
Error
0b
Counts
1596 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
27.9b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
29.3b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
27.9b
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
29.3b
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
35.4b
(-.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)
28.3b
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
35.1b
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
35.7b
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
35.1b
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
28.0b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
29.4b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
29.0b
(*.f64 (/.f64 -1 x) (neg.f64 x))
55.6b
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (neg.f64 x))
29.0b
1
35.5b
-1/2
Compiler

Compiled 240 to 174 computations (27.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 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))
1.6b
(-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
Compiler

Compiled 42 to 9 computations (78.6% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite90.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1580×associate-*l/
1122×*-commutative
506×distribute-lft-in
504×associate-/l/
496×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
120341
2304841
Stop Event
node limit
Counts
3 → 240
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)
Outputs
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simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
1012×associate-*r*
960×associate-*l*
878×fma-def
708×associate-/l*
512×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05669294
115248588
Stop Event
node limit
Counts
252 → 330
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)))))
(+.f64 (sin.f64 x) (neg.f64 (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 (sin.f64 x) (+.f64 (neg.f64 (tan.f64 x)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (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 (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 (-.f64 (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)) (fma.f64 (neg.f64 (tan.f64 x)) 1 (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 (-.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 (-.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 (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 (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 (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 (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 (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 (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))))
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(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))
(*.f64 (cbrt.f64 (tan.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (tan.f64 x)))))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x)))) (neg.f64 (cbrt.f64 (neg.f64 (tan.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 -1 (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (neg.f64 (sqrt.f64 (tan.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (neg.f64 (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 x)))) (sqrt.f64 (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 x))))) (cbrt.f64 (neg.f64 (tan.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 x)))) (sqrt.f64 (tan.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2))) (cbrt.f64 (tan.f64 x)))
(pow.f64 (tan.f64 x) 1)
(pow.f64 (sqrt.f64 (tan.f64 x)) 2)
(pow.f64 (cbrt.f64 (tan.f64 x)) 3)
(pow.f64 (/.f64 1 (tan.f64 x)) -1)
(pow.f64 (pow.f64 (tan.f64 x) 3) 1/3)
(neg.f64 (neg.f64 (tan.f64 x)))
(sqrt.f64 (pow.f64 (tan.f64 x) 2))
(log.f64 (exp.f64 (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 x))))
(cbrt.f64 (pow.f64 (tan.f64 x) 3))
(expm1.f64 (log1p.f64 (tan.f64 x)))
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (tan.f64 x)) 1 (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 (neg.f64 (/.f64 (tan.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (tan.f64 x) x)) (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (tan.f64 x))) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))) 1)
(*.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (/.f64 1 x) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (+.f64 (tan.f64 x) (neg.f64 (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 x) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (tan.f64 x) (cbrt.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 (tan.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))) (sqrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2))) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))) 2) x) (cbrt.f64 (-.f64 (sin.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (-.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 x)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (-.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (sin.f64 x) 2)))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 (sin.f64 x) (tan.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.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)))
(fma.f64 -1/8 (pow.f64 x 5) (*.f64 -1/2 (pow.f64 x 3)))
(+.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))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -13/240 (pow.f64 x 7))))
(+.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)))))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -529/24192 (pow.f64 x 9) (fma.f64 -1/8 (pow.f64 x 5) (*.f64 -13/240 (pow.f64 x 7)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/3 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))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 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)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 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))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -13/240 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4))))
(+.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)))))
(fma.f64 -529/24192 (pow.f64 x 8) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -13/240 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.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 (sin.f64 x) (-.f64 (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.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 (*.f64 (neg.f64 (tan.f64 x)) 0) (-.f64 (sin.f64 x) (tan.f64 x)))
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(fabs.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x) 3))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (tan.f64 x)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)))
(/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 8 computations (42.9% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite34.0ms (0.2%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
162×add-sqr-sqrt
158×pow1
158×*-un-lft-identity
148×add-exp-log
148×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116617
2212817
0817
Stop Event
iter limit
unsound
Counts
1 → 8
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (neg.f64 x))) (*.f64 (/.f64 -1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))))))

simplify63.0ms (0.3%)

Algorithm
egg-herbie
Rules
986×associate-*r*
778×*-commutative
694×distribute-lft-neg-in
686×associate-*l*
632×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
16220
226920
3161320
4335520
5734520
Stop Event
node limit
Counts
20 → 9
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 (*.f64 -1 (neg.f64 x)) x)
(pow.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) 1)
(neg.f64 (*.f64 (/.f64 -1 x) x))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (neg.f64 x))) (*.f64 (/.f64 -1 x) (neg.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 (*.f64 -1 (neg.f64 x)) x)
1
(pow.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) 1)
1
(neg.f64 (*.f64 (/.f64 -1 x) x))
1
(log.f64 (exp.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
1
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) (*.f64 (/.f64 -1 x) (neg.f64 x))) (*.f64 (/.f64 -1 x) (neg.f64 x))))
1
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
1
(exp.f64 (log.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
1
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 x) (neg.f64 x))))
1

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)
0.0b
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
0.3b
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
0.0ms
x
@inf
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
0.0ms
x
@0
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@0
(+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)
0.0ms
x
@inf
(*.f64 9/40 (*.f64 x x))

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
862×*-commutative
778×associate-*r/
644×associate-*l/
598×unswap-sqr
518×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
122243
2277143
Stop Event
node limit
Counts
3 → 192
Calls
Call 1
Inputs
(*.f64 9/40 (*.f64 x x))
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 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 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))) (#(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2)) (-.f64 (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2))) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 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 (fma.f64 9/40 (*.f64 x x) -1/2) 1)))) (#(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 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) (fma.f64 9/40 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1)) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (-.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)))) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) 3) (pow.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) 3))) (+.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (-.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 x) x -3/2)))))

simplify162.0ms (0.9%)

Algorithm
egg-herbie
Rules
1068×associate-+l+
956×associate-/r/
800×associate-+r+
752×+-commutative
576×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050110122
113399148
253519148
Stop Event
node limit
Counts
228 → 295
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))
-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)
-3/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))
(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))))
(-.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 3/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2)) (-.f64 (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)) 1))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(-.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2))) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)))
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 1)
(*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(*.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 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))
(*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1)) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (-.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)))) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) 3) (pow.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) 3))) (+.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (-.f64 (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)))
(/.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (/.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))) (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))) (/.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (*.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) 1/4) (-.f64 (*.f64 9/40 (*.f64 x x)) -1/2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) 1) (*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 3)) (*.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2))) (+.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) 1/4) (*.f64 (*.f64 9/40 (*.f64 x x)) -1/2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) 3) 1) (*.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2) (+.f64 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) 1) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) (+.f64 (*.f64 (*.f64 x x) -9/40) 5/2))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) 1/4)) (-.f64 (*.f64 9/40 (*.f64 x x)) -1/2))
(/.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -1/8)) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) 1/4) (*.f64 (*.f64 9/40 (*.f64 x x)) -1/2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))) (sqrt.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2) (cbrt.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (*.f64 (-.f64 9/4 (*.f64 (pow.f64 x 4) 81/1600)) 1) (+.f64 -3/2 (*.f64 (*.f64 x x) -9/40)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 81/1600)) 9/4) 1) (+.f64 (*.f64 (*.f64 x x) -9/40) -3/2))
(/.f64 (*.f64 (neg.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4)) (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2)) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (*.f64 (-.f64 (*.f64 6561/2560000 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) 81/16) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 3/2))) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) 9/4))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 81/1600) 3) 729/64) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 3/2))) (+.f64 (*.f64 6561/2560000 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (+.f64 81/16 (*.f64 (pow.f64 x 4) 729/6400))))
(/.f64 (*.f64 (-.f64 (*.f64 531441/4096000000 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))) 729/64) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -27/8))
(/.f64 (*.f64 (+.f64 -19683/512 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))) (+.f64 (*.f64 531441/4096000000 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))) (-.f64 729/64 (*.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) 1) (fma.f64 9/40 (*.f64 x x) 3/2))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) 1) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))
(/.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(/.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) (+.f64 (*.f64 (*.f64 x x) -9/40) -3/2)))
(neg.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -3/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))
(expm1.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))
(fma.f64 9/40 (*.f64 x x) -3/2)
(fma.f64 (*.f64 x x) 9/40 -3/2)
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -3/2)
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -3/2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -3/2)
(fma.f64 (*.f64 9/40 x) x -3/2)
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.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 (*.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 (*.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 (*.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)
-3/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 1)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)
(*.f64 9/40 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(*.f64 9/40 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))
(*.f64 9/40 (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))
(expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))
(*.f64 9/40 (*.f64 x x))
(-.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 0)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) 3/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2)) (-.f64 (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 81/1600)) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2))) 1)
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 81/1600)) (+.f64 1 (/.f64 -9/4 (fma.f64 9/40 (*.f64 x x) 3/2))))
(+.f64 (+.f64 1 (*.f64 (/.f64 81/1600 (fma.f64 9/40 (*.f64 x x) 3/2)) (pow.f64 x 4))) (/.f64 -9/4 (fma.f64 9/40 (*.f64 x x) 3/2)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) 3/2))) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2)))
(+.f64 (-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 81/1600)) (/.f64 9/4 (fma.f64 9/40 (*.f64 x x) 3/2))) 1)
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (*.f64 x x) 3/2) 81/1600)) (+.f64 1 (/.f64 -9/4 (fma.f64 9/40 (*.f64 x x) 3/2))))
(+.f64 (+.f64 1 (*.f64 (/.f64 81/1600 (fma.f64 9/40 (*.f64 x x) 3/2)) (pow.f64 x 4))) (/.f64 -9/4 (fma.f64 9/40 (*.f64 x x) 3/2)))
(-.f64 (+.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))) 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 (fma.f64 9/40 (*.f64 x x) -1/2) 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)))
(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 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1))
(*.f64 (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 (*.f64 9/40 x) x -3/2) (+.f64 (*.f64 9/40 (*.f64 x x)) -5/2)))) (+.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) 1) (+.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) (fma.f64 9/40 (*.f64 x x) -5/2) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1)) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)) (-.f64 1 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2) -1) (-.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1)) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3) -1)) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1) (+.f64 -1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3))) (+.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2)))
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(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 387420489/262144000000000 -19683/512) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 27/80) 9/4))) (+.f64 (fma.f64 531441/4096000000 (pow.f64 (pow.f64 x 4) 3) 729/64) (*.f64 19683/512000 (pow.f64 x 6))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) 1) (fma.f64 9/40 (*.f64 x x) 3/2))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (fma.f64 9/40 (*.f64 x x) 3/2))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (fma.f64 9/40 (*.f64 x x) 3/2))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 3/2)))
(*.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 3/2)))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (fma.f64 9/40 (*.f64 x x) 3/2))
(/.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) 1) (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -27/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 81/1600 9/4) (*.f64 (*.f64 x x) 27/80))))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -27/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 27/80) 9/4)))
(/.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -27/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 81/1600 9/4) (*.f64 (*.f64 x x) 27/80))))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -27/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 27/80) 9/4)))
(/.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -27/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 81/1600 9/4) (*.f64 (*.f64 x x) 27/80))))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -27/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 27/80) 9/4)))
(pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 1)
(fma.f64 9/40 (*.f64 x x) -3/2)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 9/40 x) x -3/2)) 3)
(fma.f64 9/40 (*.f64 x x) -3/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3) 1/3)
(fma.f64 9/40 (*.f64 x x) -3/2)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) -9/4) (+.f64 (*.f64 (*.f64 x x) -9/40) -3/2)))
(/.f64 (-.f64 9/4 (*.f64 (pow.f64 x 4) 81/1600)) (fma.f64 (*.f64 x x) -9/40 -3/2))
(/.f64 (fma.f64 (pow.f64 x 4) -81/1600 9/4) (fma.f64 (*.f64 x x) -9/40 -3/2))
(neg.f64 (/.f64 (+.f64 -27/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 81/1600) (+.f64 9/4 (*.f64 (*.f64 x x) 27/80))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) -27/8) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 81/1600 9/4) (*.f64 (*.f64 x x) 27/80))))
(/.f64 (fma.f64 (pow.f64 x 6) 729/64000 -27/8) (fma.f64 (pow.f64 x 4) 81/1600 (fma.f64 x (*.f64 x 27/80) 9/4)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2))
(fabs.f64 (fma.f64 9/40 (*.f64 x x) -3/2))
(log.f64 (exp.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))
(fma.f64 9/40 (*.f64 x x) -3/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -3/2))))
(fma.f64 9/40 (*.f64 x x) -3/2)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -3/2) 3))
(fma.f64 9/40 (*.f64 x x) -3/2)
(expm1.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -3/2)
(exp.f64 (log.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))
(fma.f64 9/40 (*.f64 x x) -3/2)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 9/40 x) x -3/2)))
(fma.f64 9/40 (*.f64 x x) -3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(fma.f64 (*.f64 x x) 9/40 -3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -3/2)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 2) -3/2)
(+.f64 -3/2 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -3/2)
(fma.f64 (*.f64 9/40 x) x -3/2)
(fma.f64 9/40 (*.f64 x x) -3/2)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 44 to 23 computations (47.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
950×*-commutative
762×unswap-sqr
632×associate-*r/
588×swap-sqr
440×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0955
120455
2265355
Stop Event
node limit
Counts
3 → 154
Calls
Call 1
Inputs
(*.f64 -27/2800 (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40))
(+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify113.0ms (0.6%)

Algorithm
egg-herbie
Rules
1598×associate-*r/
1224×associate-*l/
1038×associate-/r/
658×associate-*r*
602×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04178312
111577608
248217602
Stop Event
node limit
Counts
190 → 247
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)))
(+.f64 (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 (*.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))
(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 6) -19683/21952000000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x)))
(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))))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))
(+.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x x)))
(/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3)) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (*.f64 x (*.f64 x (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600)) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40))
(/.f64 (*.f64 (*.f64 x x) (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (*.f64 1 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600))) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))
(/.f64 (*.f64 (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) -6561/2560000) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) 81/1600))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 729/7840000) 3) -531441/4096000000) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (+.f64 (+.f64 (*.f64 531441/61465600000000 (pow.f64 x 8)) 6561/2560000) (*.f64 (pow.f64 x 4) 59049/12544000000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) -531441/4096000000) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) -729/64000))
(/.f64 (*.f64 (+.f64 387420489/262144000000000 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) (-.f64 531441/4096000000 (*.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) 1) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) 1) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000))) (*.f64 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1)
(pow.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3)
(pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)))
(neg.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))))
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2))
(log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))
(cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3))
(expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 x x) -27/2800 9/40)
(fma.f64 1 (*.f64 -27/2800 (*.f64 x x)) 9/40)
(fma.f64 (*.f64 x (sqrt.f64 -27/2800)) (*.f64 x (sqrt.f64 -27/2800)) 9/40)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) -1)
(*.f64 -27/2800 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1)
(*.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 (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1) (*.f64 -27/2800 (*.f64 x x))) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -27/2800 (*.f64 x x))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (*.f64 x x)))) 1))
(pow.f64 (*.f64 -27/2800 (*.f64 x x)) 1)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 3)
(*.f64 -27/2800 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))
(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 -27/2800 (*.f64 x x)))))
(*.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))))
(*.f64 -27/2800 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -27/2800 (*.f64 x x))))
(*.f64 -27/2800 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (*.f64 x x))))
(*.f64 -27/2800 (*.f64 x x))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (*.f64 x (*.f64 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 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(/.f64 (+.f64 (*.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 -27/2800 (*.f64 x x) -9/40)) (*.f64 x x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) x)) x)
(/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (*.f64 x x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) x)) x)
(/.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -81/1600)) (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(/.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3)) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))
(/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3)) (-.f64 (fma.f64 729/7840000 (pow.f64 x 8) (*.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 (*.f64 (pow.f64 x 4) (*.f64 x 9/40)) x)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (*.f64 x x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) x)) x)
(/.f64 (*.f64 x (*.f64 x (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) -531441/4096000000) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) -729/64000))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) -531441/4096000000) (*.f64 (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000))) (fma.f64 (pow.f64 x 6) -19683/21952000000 -729/64000)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) -531441/4096000000) (*.f64 (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600)) (fma.f64 (pow.f64 x 6) -19683/21952000000 -729/64000)))
(/.f64 (*.f64 (+.f64 387420489/262144000000000 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) (-.f64 531441/4096000000 (*.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))))
(/.f64 (+.f64 387420489/262144000000000 (*.f64 (pow.f64 (pow.f64 x 6) 3) -7625597484987/10578455953408000000000000000000)) (*.f64 (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) (+.f64 531441/4096000000 (*.f64 -729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -7625597484987/10578455953408000000000000000000 387420489/262144000000000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 2) (+.f64 531441/4096000000 (*.f64 14348907/1404928000000000 (pow.f64 x 6)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) 1) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(*.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(*.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (*.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(*.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) 1) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) 1) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600)))
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) 1) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600)))
(/.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) 1) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))) (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 (expm1.f64 (*.f64 2 (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 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000))) (*.f64 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000)) (*.f64 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) 729/7840000)) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000) (/.f64 (/.f64 6561/2560000 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (fma.f64 -27/2800 (*.f64 x x) -9/40))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 8) (fma.f64 -27/2800 (*.f64 x x) -9/40)) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 531441/61465600000000) (/.f64 (/.f64 -6561/2560000 (fma.f64 -27/2800 (*.f64 x x) -9/40)) (fma.f64 -27/2800 (*.f64 x x) -9/40))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (*.f64 x x) -9/40)) 729/7840000 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(pow.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/3)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40)))
(/.f64 (+.f64 81/1600 (*.f64 (pow.f64 x 4) -729/7840000)) (fma.f64 (*.f64 x x) 27/2800 9/40))
(/.f64 (fma.f64 (pow.f64 x 4) -729/7840000 81/1600) (fma.f64 x (*.f64 x 27/2800) 9/40))
(neg.f64 (/.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))))
(/.f64 (+.f64 -729/64000 (*.f64 (pow.f64 x 6) 19683/21952000000)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (*.f64 x (*.f64 x 243/112000)))))
(/.f64 (fma.f64 (pow.f64 x 6) 19683/21952000000 -729/64000) (-.f64 (*.f64 (pow.f64 x 4) -729/7840000) (fma.f64 x (*.f64 x 243/112000) 81/1600)))
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2))
(fabs.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))
(log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 x x) -27/2800 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 1 (*.f64 -27/2800 (*.f64 x x)) 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 x (sqrt.f64 -27/2800)) (*.f64 x (sqrt.f64 -27/2800)) 9/40)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2) 9/40)
(+.f64 9/40 (pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2)
0.0b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
0.0b
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
1.1b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 38 to 12 computations (68.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
0.0ms
x
@inf
(+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2)
0.0ms
x
@-inf
(+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2)
0.0ms
x
@-inf
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
0.0ms
x
@0
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)

rewrite99.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1576×associate-/r*
1246×associate-/l*
1080×*-commutative
714×associate-/r/
284×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
126540
2404140
Stop Event
node limit
Counts
2 → 288
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
(+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) 0) (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))) (/.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2))))) (/.f64 8 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 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simplify188.0ms (1%)

Algorithm
egg-herbie
Rules
940×+-commutative
690×*-commutative
632×associate-*r*
560×associate-/l/
530×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069015692
1195413360
2791313360
Stop Event
node limit
Counts
312 → 452
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(/.f64 -3 (pow.f64 x 2))
(-.f64 16/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 16/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 16/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
3
(+.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
3
(+.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 3 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 3 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(+.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))
(+.f64 2 (+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 0))
(+.f64 2 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 0))
(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -2)
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(+.f64 -2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) 0) (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)
(+.f64 (-.f64 0 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))) (/.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)))
(+.f64 (-.f64 0 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2))))) (/.f64 8 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))
(+.f64 (-.f64 0 (/.f64 0 (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))) (/.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)))
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2))))) (/.f64 8 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 0 (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) -4) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)))
(*.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) -8) (/.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))) (sqrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (*.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 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 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 x (-.f64 x (tan.f64 x))) 4)) (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) -4))
(*.f64 (/.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))) (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) -8))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) -4) (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) -4)) (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x (tan.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 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 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 1 (/.f64 (+.f64 x (tan.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) -1)) x)
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) -8) (*.f64 (cbrt.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))) (cbrt.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))) (cbrt.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) 1) (sqrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (sqrt.f64 (+.f64 x (tan.f64 x))))) (sqrt.f64 (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) 1) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x))))) (sqrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (tan.f64 x))))) (cbrt.f64 (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x)))) (cbrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x)))))) (cbrt.f64 (cbrt.f64 (+.f64 x (tan.f64 x)))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)
(neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(fma.f64 x (/.f64 1 (+.f64 x (tan.f64 x))) 0)
(fma.f64 1 (/.f64 x (-.f64 x (tan.f64 x))) 0)
(fma.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -2)
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) -2)
(-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)
(-.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 0)
(-.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(-.f64 0 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))
(-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 3 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))) -1)
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)) (-.f64 (/.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)) 2))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))) (-.f64 (/.f64 8 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))) 2))
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))
(-.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)) (/.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)
(-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4))) (/.f64 4 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4)))
(-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2))))) (/.f64 8 (+.f64 (*.f64 2 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2)))))
(-.f64 (+.f64 2 (/.f64 0 (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 1)
(*.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(*.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))) (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 1) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (-.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 8)) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (*.f64 (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))) (+.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) (pow.f64 (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (-.f64 (*.f64 (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (*.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4))) (neg.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(*.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (neg.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(/.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 1)
(/.f64 1 (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))
(/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (/.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4))) (/.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (neg.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) 1) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4) (*.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) 1) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 1) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2)) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3))
(expm1.f64 (log.f64 (+.f64 3 (/.f64 x (-.f64 x (tan.f64 x))))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(fma.f64 x (/.f64 1 (+.f64 x (tan.f64 x))) 2)
(fma.f64 1 (/.f64 x (-.f64 x (tan.f64 x))) 2)
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
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1
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3
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(*.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (+.f64 (+.f64 4 (/.f64 (*.f64 x 2) (-.f64 x (tan.f64 x)))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (+.f64 (fma.f64 2 (/.f64 x (-.f64 x (tan.f64 x))) 4) (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(*.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (/.f64 1 (+.f64 (+.f64 4 (/.f64 (*.f64 x 2) (-.f64 x (tan.f64 x)))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(/.f64 (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3)) (+.f64 (fma.f64 2 (/.f64 x (-.f64 x (tan.f64 x))) 4) (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 1) (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (/.f64 1 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 (-.f64 4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (/.f64 1 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 (-.f64 4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (/.f64 1 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 (-.f64 4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2)) (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(*.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (/.f64 1 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 (-.f64 4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -4)) (/.f64 1 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2)))
(*.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 -4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(*.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) (/.f64 (-.f64 4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (+.f64 -4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2))))
(/.f64 (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (+.f64 4 (*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))))
(*.f64 (+.f64 (+.f64 4 (/.f64 (*.f64 x 2) (-.f64 x (tan.f64 x)))) (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (/.f64 (-.f64 4 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))))
(*.f64 (+.f64 (fma.f64 2 (/.f64 x (-.f64 x (tan.f64 x))) 4) (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (/.f64 (-.f64 4 (pow.f64 (-.f64 1 (/.f64 (tan.f64 x) x)) -2)) (+.f64 8 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))))
(pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 1)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 2)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)) 3)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3) 1/3)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(fabs.f64 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))
(log.f64 (exp.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))))
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) 3))
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(expm1.f64 (log.f64 (+.f64 3 (/.f64 x (-.f64 x (tan.f64 x))))))
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2)))
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(fma.f64 x (/.f64 1 (+.f64 x (tan.f64 x))) 2)
(+.f64 2 (/.f64 x (+.f64 x (tan.f64 x))))
(fma.f64 1 (/.f64 x (-.f64 x (tan.f64 x))) 2)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(+.f64 2 (/.f64 x (-.f64 x (tan.f64 x))))

eval577.0ms (3.2%)

Compiler

Compiled 38309 to 21083 computations (45% saved)

prune378.0ms (2.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New160151606
Fresh134
Picked101
Done3710
Total1606151621
Error
0b
Counts
1621 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
27.9b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
29.3b
(/.f64 x (-.f64 x (tan.f64 x)))
29.3b
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
29.3b
(-.f64 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2) 2)
27.9b
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
35.4b
(-.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)
28.3b
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
35.1b
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
35.7b
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
35.1b
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
28.0b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
29.4b
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
29.0b
(*.f64 (/.f64 -1 x) (neg.f64 x))
29.0b
1
35.5b
-1/2
Compiler

Compiled 149 to 108 computations (27.5% saved)

regimes91.0ms (0.5%)

Counts
27 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
(-.f64 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -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 (/.f64 1 (-.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)
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (neg.f64 x))
(-.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))
(-.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)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.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)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
Calls

2 calls:

59.0ms
x
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.1b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 270 to 135 computations (50% saved)

bsearch51.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
45.0ms288×body256valid
Compiler

Compiled 606 to 475 computations (21.6% saved)

regimes95.0ms (0.5%)

Counts
26 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
(-.f64 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -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 (/.f64 1 (-.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)
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (neg.f64 x))
(-.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))
(-.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)
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(-.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

84.0ms
x
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.1b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 259 to 133 computations (48.6% saved)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.020721988422263672
875.3277026147471
30.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
46.0ms288×body256valid
Compiler

Compiled 590 to 459 computations (22.2% saved)

regimes59.0ms (0.3%)

Counts
25 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
(-.f64 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -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 (/.f64 1 (-.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)
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (neg.f64 x))
(-.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))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

2 calls:

33.0ms
x
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.1b3x
0.1b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 240 to 117 computations (51.3% saved)

bsearch48.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
44.0ms288×body256valid
Compiler

Compiled 482 to 315 computations (34.6% saved)

regimes40.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
(-.f64 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -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) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))
Calls

1 calls:

37.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 141 to 77 computations (45.4% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
43.0ms288×body256valid
Compiler

Compiled 482 to 333 computations (30.9% saved)

regimes30.0ms (0.2%)

Counts
16 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
(-.f64 (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 2) 2)
(-.f64 (-.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 4) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
Outputs
(/.f64 x (-.f64 x (tan.f64 x)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)
Calls

1 calls:

27.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 132 to 72 computations (45.5% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
45.0ms288×body256valid
Compiler

Compiled 460 to 311 computations (32.4% saved)

regimes24.0ms (0.1%)

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

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 86 to 48 computations (44.2% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
44.0ms288×body256valid
Compiler

Compiled 428 to 279 computations (34.8% saved)

regimes16.0ms (0.1%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.020721988422263672
875.3277026147471
29.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
45.0ms288×body256valid
Compiler

Compiled 338 to 243 computations (28.1% saved)

regimes13.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
-1/2
1
(*.f64 (/.f64 -1 x) (neg.f64 x))
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
Outputs
1
(+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1)
1
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
43.0ms288×body256valid
Compiler

Compiled 266 to 225 computations (15.4% saved)

regimes34.0ms (0.2%)

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

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
43.0ms288×body256valid
Compiler

Compiled 230 to 189 computations (17.8% saved)

regimes45.0ms (0.2%)

Accuracy

Total -61.6b remaining (-4262.8%)

Threshold costs -61.6b (-4262.8%)

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

1 calls:

44.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.020721988422263672
875.3277026147471
27.0ms
-1745.7047039423173
-5.279263703577149e-10
Results
43.0ms288×body256valid
Compiler

Compiled 122 to 117 computations (4.1% saved)

simplify28.0ms (0.2%)

Algorithm
egg-herbie
Rules
46×+-commutative
30×sub-neg
28×*-commutative
16×if-if-or-not
14×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100763
1157763
2177763
3190763
4209763
5216763
6218763
7220763
8221763
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3314649325744685/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3242591731706757/36028797018963968) (-.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) (expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(if (<=.f64 x -3314649325744685/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3242591731706757/36028797018963968) (-.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3242591731706757/144115188075855872) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 8358680908399641/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 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) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (tan.f64 x)) x))))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -3314649325744685/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3242591731706757/36028797018963968) (-.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) (expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(if (<=.f64 x -3314649325744685/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3242591731706757/36028797018963968) (+.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) (expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))
(if (<=.f64 x -3314649325744685/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 3242591731706757/36028797018963968) (-.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 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -3314649325744685/36028797018963968) (not (<=.f64 x 3242591731706757/36028797018963968))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.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))
(if (<=.f64 x -3242591731706757/144115188075855872) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 8358680908399641/288230376151711744) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -3242591731706757/144115188075855872) (not (<=.f64 x 8358680908399641/288230376151711744))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) -1/2))
(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) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 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 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) -1/2))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 (-.f64 (/.f64 x (-.f64 x (tan.f64 x))) -2) 2)))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) -1/2) (+.f64 (+.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) -2)))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) -1/2) (+.f64 -2 (+.f64 2 (/.f64 x (-.f64 x (tan.f64 x)))))))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -3152519739159347/1125899906842624) (not (<=.f64 x 3152519739159347/1125899906842624))) (/.f64 x (-.f64 x (tan.f64 x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) -1/2))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2) 1) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) -3/2)) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 -1/2 (*.f64 x (*.f64 x 9/40))) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2
Compiler

Compiled 293 to 205 computations (30% saved)

soundness756.0ms (4.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
0927
11627
22627
34427
47427
513327
628127
757927
8151027
9273127
10363327
11412327
12472127
13475327
14476527
15476927
16476927
Stop Event
saturated
saturated
Compiler

Compiled 362 to 122 computations (66.3% saved)

end142.0ms (0.8%)

Compiler

Compiled 283 to 173 computations (38.9% saved)

Profiling

Loading profile data...