Details

Time bar (total: 18.5s)

analyze469.0ms (2.5%)

Algorithm
1×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)

sample9.0s (48.8%)

Results
6.0s2028×body2048valid
2.0s3127×body1024valid
668.0ms1573×body512valid
237.0ms1417×body256valid
139.0ms111×body4096valid
Bogosity

preprocess178.0ms (1%)

Algorithm
2×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
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify166.0ms (0.9%)

Algorithm
1×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
1×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
46.95%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.95%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.02%
(tan.f64 x)
✓0.04%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓3.34%
(-.f64 (sin.f64 x) x)
✓3.72%
(-.f64 (tan.f64 x) x)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite106.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0954
120754
2313654
Stop Event
1×node limit
Counts
4 → 284
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) x)
(-.f64 (sin.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(tan.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 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) 1)))) (#(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 (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 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (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 (sin.f64 x) (/.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1) (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 /.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.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 log1p.f64 (expm1.f64 (tan.f64 x)))))))

simplify123.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1470×associate-*r*
1288×associate-*l*
1112×associate-/l*
900×associate-/r*
710×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074714288
1224114134
Stop Event
1×node limit
Counts
332 → 483
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
x
(+.f64 (*.f64 1/3 (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 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 x x) (*.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (tan.f64 x))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (tan.f64 x))) (*.f64 x (+.f64 x (tan.f64 x))))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 x) x) 1)
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(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (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 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.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))))))
(pow.f64 (-.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) x)))
(fma.f64 1 (sin.f64 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.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 (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 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 -1 (-.f64 (tan.f64 x) x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1)
(*.f64 (tan.f64 x) 1)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.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 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) 1))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.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)))
(log1p.f64 (expm1.f64 (tan.f64 x)))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
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(/.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 (tan.f64 x))) 1)
(tan.f64 x)
(*.f64 (tan.f64 x) 1)
(tan.f64 x)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.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 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) 1))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 1 (/.f64 1 (tan.f64 x)))
(tan.f64 x)
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (/.f64 (sin.f64 x) 1) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))) (cbrt.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (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))
(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)
(log1p.f64 (expm1.f64 (tan.f64 x)))
(tan.f64 x)

eval118.0ms (0.6%)

Compiler

Compiled 11704 to 4066 computations (65.3% saved)

prune119.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4749483
Fresh000
Picked011
Done000
Total47410484
Error
0%
Counts
484 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶50.9%
(fma.f64 9/40 (*.f64 x x) -1/2)
47.9%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3) (-.f64 (tan.f64 x) x))
✓46.95%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶47.53%
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
47.47%
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
▶52.04%
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
▶47.47%
(+.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
▶46.94%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
48.28%
1
51.7%
-1/2
Compiler

Compiled 182 to 122 computations (33% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.03%
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
0.04%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
3.34%
(-.f64 (sin.f64 x) x)
3.72%
(-.f64 (tan.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))))

rewrite95.0ms (0.5%)

Algorithm
1×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
1×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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 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simplify114.0ms (0.6%)

Algorithm
1×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
1×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))))
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(-.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)))
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(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) 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 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)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.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))))
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(*.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)))
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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 (/.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 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.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)))))
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(/.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))))
(+.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 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(-.f64 (+.f64 (+.f64 (*.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))))))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 0)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 1 (-.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1))
(/.f64 (-.f64 (sin.f64 x) 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) x) (-.f64 (tan.f64 x) x))
(+.f64 (/.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 (tan.f64 x) x))
(+.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) 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) 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 (sin.f64 x) 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 (sin.f64 x) 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 (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 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (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 (-.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 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.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 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (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 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 (*.f64 1 (cbrt.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
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(/.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 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (tan.f64 x) x)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 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))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))) (-.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)))))))
(/.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 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) 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 (-.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 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.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 (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 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (-.f64 (sin.f64 x) x) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))))
(/.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 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (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 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 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (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 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (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 (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 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (-.f64 (sin.f64 x) x) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (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 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (*.f64 (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 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (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 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))
(/.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 (*.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 (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 (*.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 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.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)) (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 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (*.f64 (-.f64 (tan.f64 x) x) (cbrt.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 (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 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 4)))
(/.f64 (/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 4))
(/.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 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (*.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 (sin.f64 x) (-.f64 (tan.f64 x) x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (*.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (*.f64 (-.f64 (tan.f64 x) x) (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 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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1%
(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
1.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@inf
(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms
x
@-inf
(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite51.0ms (0.3%)

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

simplify47.0ms (0.3%)

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
3.34%
(-.f64 (sin.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

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

simplify56.0ms (0.3%)

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

Useful iterations: 2 (0.0ms)

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5%
(*.f64 -27/2800 (pow.f64 x 4))
✓25.86%
(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
@inf
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@0
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@0
(*.f64 -27/2800 (pow.f64 x 4))
0.0ms
x
@inf
(*.f64 -27/2800 (pow.f64 x 4))
0.0ms
x
@-inf
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))

rewrite63.0ms (0.3%)

Algorithm
1×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
1×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))))))))

simplify65.0ms (0.3%)

Algorithm
1×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
1×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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(cos.f64 x)
✓0.21%
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x)
✓0.23%
(/.f64 (sin.f64 x) (cos.f64 x))
✓4.28%
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)))
Compiler

Compiled 48 to 10 computations (79.2% saved)

series2.0ms (0%)

Counts
4 → 32
Calls

12 calls:

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

rewrite101.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1552×associate-*l/
1016×*-commutative
562×associate-/r/
486×distribute-lft-in
474×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
122246
2336246
Stop Event
1×node limit
Counts
4 → 335
Calls
Call 1
Inputs
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x)
(cos.f64 x)
Outputs
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((x -.f64 (exp.f64 (log1p.f64 (+.f64 (tan.f64 x) (sin.f64 x)))) (-.f64 1 (fma.f64 (sin.f64 x) -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (+.f64 (tan.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (+.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (tan.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 (tan.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (tan.f64 x) 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(tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (tan.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (/.f64 1 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (/.f64 1 (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (/.f64 1 (neg.f64 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 -1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 -1 (/.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 -1 (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 -1 (/.f64 1 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (/.f64 1 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (/.f64 1 (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (/.f64 1 (neg.f64 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (tan.f64 x) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (neg.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 (+.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2)) 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simplify125.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1200×associate-/r*
1098×associate-/l*
768×*-commutative
708×distribute-lft-in
646×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072014351
1207713827
Stop Event
1×node limit
Counts
367 → 536
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 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 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 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
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(*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 -1 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))
(*.f64 (/.f64 1 x) (+.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)) (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))) (*.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x)))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (+.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x) (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))) (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2))) (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) x) (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) 1) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) 1) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2)) (+.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (+.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.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 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))) (+.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 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) 3))) (+.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (neg.f64 (/.f64 1 x)) (+.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 (tan.f64 x) (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(*.f64 -1 (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
Outputs
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5)))
(fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5)))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (*.f64 529/24192 (pow.f64 x 9)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 529/24192 (pow.f64 x 8)))))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720))))
(-.f64 (tan.f64 x) (sin.f64 x))
(-.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (sin.f64 x) 1 (sin.f64 x)))
(-.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 x)))
(-.f64 (sin.f64 x) (tan.f64 x))
(-.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (sin.f64 x) 1 (sin.f64 x)))
(+.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(+.f64 (sin.f64 x) (-.f64 (tan.f64 x) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(-.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (sin.f64 x) (-.f64 (tan.f64 x) (fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(-.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 x)))
(+.f64 (tan.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))
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(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) (/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) x) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))) (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) (/.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 x))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))) (/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) x) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2))) (+.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (/.f64 1 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 3) x) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 2) (/.f64 1 x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2) x) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 x)) (-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 x)) (/.f64 (-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (sin.f64 x) (tan.f64 x)) 2))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) 3))) (+.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (tan.f64 x) 2)))))
(*.f64 (+.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))) (/.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3))))
(*.f64 (+.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (/.f64 1 (tan.f64 x))) (*.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))) (*.f64 (/.f64 (/.f64 1 x) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3) (pow.f64 (tan.f64 x) 6))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))) (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 1 x)) (+.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (cbrt.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) x))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (neg.f64 (tan.f64 x)) (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 x) (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 1)
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 2)
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)) 3)
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 3) 1/3)
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(pow.f64 (/.f64 x (+.f64 (tan.f64 x) (sin.f64 x))) -1)
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(neg.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x))))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x) 3))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 x) (sin.f64 x)) 3) (pow.f64 x 3)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 -1 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (cos.f64 x))))
(cos.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (cos.f64 x))))
(cos.f64 x)
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))) (sqrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))) (cbrt.f64 (neg.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(neg.f64 (neg.f64 (cos.f64 x)))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

eval452.0ms (2.4%)

Compiler

Compiled 38203 to 14952 computations (60.9% saved)

prune399.0ms (2.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New158581593
Fresh044
Picked101
Done415
Total1590131603
Error
0%
Counts
1603 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
47.9%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3) (-.f64 (tan.f64 x) x))
51.43%
(/.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))
✓46.95%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶48.29%
(/.f64 (+.f64 x (sin.f64 x)) x)
▶46.97%
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
47.47%
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
47.53%
(-.f64 1 (/.f64 (sin.f64 x) x))
52.04%
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
▶50.9%
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
▶47.47%
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
▶48.29%
(+.f64 1 (/.f64 (sin.f64 x) x))
48.28%
1
51.7%
-1/2
Compiler

Compiled 252 to 176 computations (30.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓0.07%
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
3.34%
(-.f64 (sin.f64 x) x)
3.72%
(-.f64 (tan.f64 x) x)
Compiler

Compiled 48 to 13 computations (72.9% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite97.0ms (0.5%)

Algorithm
1×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
1×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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2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 0)))))

simplify137.0ms (0.7%)

Algorithm
1×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
1×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)))
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(+.f64 2 (-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -2) 0))
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(+.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -2) 2)
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(*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.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)) 2) 2) -4) (/.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 4)))
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(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
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(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 4)) (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2) -4))
(*.f64 (/.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 (pow.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 3) -8))
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(*.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)))
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(/.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)))
(+.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 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (-.f64 1 (/.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 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 0)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -2))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 2 (+.f64 (+.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 2 (-.f64 (+.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) x) (-.f64 (tan.f64 x) x)) 2) -2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.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 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 -2 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (/.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 (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) 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) x) (-.f64 (tan.f64 x) x))
(+.f64 (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) 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 (tan.f64 x) x))
(*.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (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 (-.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 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (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 (sin.f64 x) x) (-.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 (pow.f64 (+.f64 2 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) -4) (/.f64 1 (+.f64 4 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
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(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))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.16%
(*.f64 (*.f64 9/40 x) x)
✓0.2%
(*.f64 9/40 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite50.0ms (0.3%)

Algorithm
1×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
1×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))))))))

simplify48.0ms (0.3%)

Algorithm
1×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
1×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))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.02%
(+.f64 1 (/.f64 (sin.f64 x) x))
✓0.16%
(/.f64 (sin.f64 x) x)
Compiler

Compiled 15 to 6 computations (60% saved)

series1.0ms (0%)

Counts
2 → 10
Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1778×add-sqr-sqrt
1762×*-un-lft-identity
1644×add-cube-cbrt
1628×add-cbrt-cube
166×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116528
2215428
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 x) x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (sin.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1))) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) 1) (-.f64 (/.f64 (sin.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sin.f64 x) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)) 1)))))

simplify49.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1062×times-frac
912×associate-/l*
798×associate-*r/
730×unswap-sqr
568×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01641853
13811609
215251609
Stop Event
1×node limit
Counts
75 → 97
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
1
(-.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 x) x) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 1 (+.f64 (/.f64 (sin.f64 x) x) 1))
(*.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1)))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1))) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) 1) (-.f64 (/.f64 (sin.f64 x) x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1)))))
(pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sin.f64 x) x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(fma.f64 (sin.f64 x) (/.f64 1 x) 1)
(fma.f64 1 (/.f64 (sin.f64 x) x) 1)
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)) 1)
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 (*.f64 -1/6 x) x)))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/120 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 1/120 (pow.f64 x 4) (*.f64 (*.f64 -1/6 x) x)))
(+.f64 (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x x) 2))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))) (fma.f64 -1/6 (*.f64 x x) 2))
1
1
(-.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 x) x) 1))) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (sin.f64 x)) -2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 1 (+.f64 (/.f64 (sin.f64 x) x) 1))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) 2)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (sin.f64 x)) -2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (sin.f64 x)) -2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1))) (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (sin.f64 x)) -2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1) 1))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) 1) (-.f64 (/.f64 (sin.f64 x) x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (sin.f64 x)) -2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x (sin.f64 x)) -2)) (-.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) 1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (sin.f64 x) x) -1) 1))
(pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)) 3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 3) 1/3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (sin.f64 x) x) 1))))
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) 3))
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (sin.f64 x) x)) 1))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sin.f64 x) x) 1)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 (sin.f64 x) (/.f64 1 x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 1 (/.f64 (sin.f64 x) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.03%
(/.f64 (+.f64 x (sin.f64 x)) x)
Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115317
2218817
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 x (sin.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))))))

simplify53.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
810×*-commutative
624×associate-*r/
442×associate-*l/
404×unswap-sqr
396×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0102846
1251830
2979826
34675826
Stop Event
1×node limit
Counts
44 → 51
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(tan.f64 x)
✓0.21%
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
✓4.28%
(-.f64 (tan.f64 x) (sin.f64 x))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1392×associate-*r/
1262×associate-/r*
1240×associate-/l*
1036×associate-*l/
926×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
117836
2259436
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) (sin.f64 x))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 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simplify113.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1056×associate-+l+
1048×associate-+r+
896×+-commutative
638×associate-/l*
638×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04168273
111907981
263667957
Stop Event
1×node limit
Counts
181 → 242
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 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(+.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))
(pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 x) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(fma.f64 1 (tan.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 (sin.f64 x)))
(+.f64 (/.f64 (tan.f64 x) x) (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 x) x))
(-.f64 (/.f64 (tan.f64 x) x) (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))) 1)
(*.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 1 x) (-.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (neg.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x) (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) 1))
(*.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (neg.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) x) (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2))) (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2)) x) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (tan.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2)) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) x) (-.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) x) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.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 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 5) (*.f64 1/2 (pow.f64 x 3))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (*.f64 529/24192 (pow.f64 x 9)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (fma.f64 529/24192 (pow.f64 x 8) (*.f64 x (*.f64 x 1/2)))))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(+.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (tan.f64 x) (sin.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (-.f64 (tan.f64 x) (sin.f64 x))) (sin.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (-.f64 (tan.f64 x) (sin.f64 x))) (sin.f64 x))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(fma.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (-.f64 (tan.f64 x) (sin.f64 x)))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 (tan.f64 x) (*.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))))) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (+.f64 (tan.f64 x) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
(+.f64 (+.f64 (tan.f64 x) (*.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))))) (*.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
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(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (tan.f64 x) (sin.f64 x)))
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(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) x) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) 4) (*.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (pow.f64 (tan.f64 x) 2)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3)) x)))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (neg.f64 (pow.f64 (tan.f64 x) 2))) (pow.f64 (tan.f64 x) 4)) (/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) x) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x))) 3) (pow.f64 (tan.f64 x) 6))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2)
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 3)
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3) 1/3)
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -1)
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(neg.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 2))
(fabs.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)

eval1.4s (7.6%)

Compiler

Compiled 29924 to 12486 computations (58.3% saved)

prune259.0ms (1.4%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New116711168
Fresh077
Picked011
Done055
Total1167141181
Error
0%
Counts
1181 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
47.9%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3) (-.f64 (tan.f64 x) x))
▶51.43%
(/.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))
✓46.95%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓48.29%
(/.f64 (+.f64 x (sin.f64 x)) x)
✓46.97%
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
▶47.53%
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
▶47.47%
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
▶47.53%
(-.f64 1 (/.f64 (sin.f64 x) x))
▶52.04%
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
✓50.9%
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
✓47.47%
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
✓48.29%
(+.f64 1 (/.f64 (sin.f64 x) x))
48.28%
1
51.7%
-1/2
Compiler

Compiled 230 to 162 computations (29.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.16%
(/.f64 (neg.f64 (sin.f64 x)) x)
✓0.19%
(*.f64 x (cos.f64 x))
✓0.24%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))
✓3.35%
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
Compiler

Compiled 50 to 13 computations (74% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1870×associate-*l/
570×associate-/l/
526×distribute-lft-neg-in
472×distribute-rgt-in
448×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01272
125660
2380160
Stop Event
1×node limit
Counts
4 → 265
Calls
Call 1
Inputs
(+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (sin.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 x) (-.f64 (/.f64 (sin.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 x)) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))

simplify100.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
984×associate-*r*
954×associate-*l*
718×associate-/l*
694×*-commutative
574×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06149397
117278851
Stop Event
1×node limit
Counts
313 → 370
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
-1
(-.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6)))) 1)
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
x
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(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 1 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (cos.f64 x)) -1)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cos.f64 x)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x (cos.f64 x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 -1 (/.f64 (*.f64 x (cos.f64 x)) 1)) (sin.f64 x))
(*.f64 (/.f64 -1 (/.f64 (*.f64 x (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 (*.f64 x (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 (*.f64 x (cos.f64 x)) -1)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))) (sqrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) 2)) (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (/.f64 1 x) (cos.f64 x))) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 x (cos.f64 x))))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 x (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 x))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (*.f64 x (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (*.f64 x (cos.f64 x))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 x (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2))) (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 -1 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 -1 (cos.f64 x))) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 x (cos.f64 x))))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 x (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x (cos.f64 x)))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (cos.f64 x)) x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (/.f64 1 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 x)) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (sqrt.f64 (cos.f64 x)))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x)) -1)
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x)))) 1)
(pow.f64 (*.f64 x (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) 1))
(+.f64 (/.f64 (sin.f64 x) x) 0)
(+.f64 0 (/.f64 (sin.f64 x) x))
(+.f64 (-.f64 (/.f64 (sin.f64 x) x) 1) 1)
(+.f64 (-.f64 0 (/.f64 0 x)) (/.f64 (sin.f64 x) x))
(+.f64 (-.f64 (/.f64 0 x) 0) (/.f64 (sin.f64 x) x))
(+.f64 (-.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (/.f64 1 x) 0) (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 0 (/.f64 1 x)) (/.f64 (sin.f64 x) x))
(-.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 0 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (sin.f64 x) x)))) 2)
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (/.f64 (sin.f64 x) x))) 1))
(-.f64 (/.f64 0 x) (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 x) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1 x)) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x -1)) (sin.f64 x))
(*.f64 (/.f64 -1 (/.f64 x 1)) (sin.f64 x))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 x -1)) (sin.f64 x))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
-1
(-.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -1/3 -1)
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4))) 1)
(+.f64 (fma.f64 -1/3 (*.f64 x x) (*.f64 (pow.f64 x 4) -2/15)) -1)
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -2/15 -1))
(-.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -17/315))) -1)
(+.f64 (fma.f64 (pow.f64 x 4) -2/15 (*.f64 (pow.f64 x 6) -17/315)) (fma.f64 (*.f64 x x) -1/3 -1))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (cos.f64 x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) 1))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x)))) 1)
(*.f64 x (cos.f64 x))
(pow.f64 (*.f64 x (cos.f64 x)) 1)
(*.f64 x (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 x))) 2)
(*.f64 x (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 3)
(*.f64 x (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 1/3)
(*.f64 x (cos.f64 x))
(neg.f64 (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 x (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2))
(fabs.f64 (*.f64 x (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 x)))
(*.f64 x (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 x)))))
(*.f64 x (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3))
(*.f64 x (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 x (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))
(*.f64 x (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(exp.f64 (log.f64 (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 x))) 1))
(*.f64 x (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) 1))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 0 (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (-.f64 (/.f64 (sin.f64 x) x) 1) 1)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (-.f64 0 (/.f64 0 x)) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (-.f64 (/.f64 0 x) 0) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (-.f64 (/.f64 0 x) (/.f64 0 x)) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (*.f64 (/.f64 1 x) 0) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(+.f64 (*.f64 0 (/.f64 1 x)) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(-.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(-.f64 0 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (sin.f64 x) x)))) 2)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (/.f64 (sin.f64 x) x))) 1))
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))) (+.f64 1 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (/.f64 (sin.f64 x) x)))))
(-.f64 (/.f64 0 x) (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 -1 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 1 x) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 -1 x) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 1 x)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (/.f64 x -1)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 x 1)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (/.f64 -1 (/.f64 x -1)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 x))) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(/.f64 (sin.f64 x) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(fabs.f64 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.16%
(*.f64 (*.f64 9/40 x) x)
0.2%
(*.f64 9/40 x)
✓0.2%
(*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x))
✓33.72%
(/.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))
Compiler

Compiled 65 to 45 computations (30.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1404×associate-/r/
868×associate-/l/
710×distribute-rgt-in
654×distribute-lft-in
280×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01264
128334
2385534
Stop Event
1×node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.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 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x))
Outputs
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simplify96.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
798×associate-*r*
718×associate-+r+
666×associate-+l+
664×associate-/l/
664×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03286546
110275480
253685476
Stop Event
1×node limit
Counts
138 → 182
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 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2)
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x)))
(+.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))
(+.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 1 (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))))
(+.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) -1/4))
(+.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 -1/4 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))))
(+.f64 (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)))
(+.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) -1/4) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (*.f64 9/40 (*.f64 x x))) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) -1/2))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) -1/2) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (*.f64 9/40 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2))) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))))
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(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))) (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8))) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))) (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8) (fma.f64 9/40 (*.f64 x x) 1/2))) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8))) (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))) (*.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))) (fma.f64 9/40 (*.f64 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)
(pow.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) -1)
(neg.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) 3) (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)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2)
(fma.f64 (*.f64 (sqrt.f64 9/40) x) (*.f64 (sqrt.f64 9/40) x) -1/2)
(fma.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)))) 1)
(pow.f64 (*.f64 9/40 (*.f64 x x)) 2)
(pow.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))) 3)
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 4))
(log.f64 (exp.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)))))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6))
(expm1.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
(exp.f64 (*.f64 2 (log.f64 (*.f64 9/40 (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 9/40 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 (*.f64 9/40 x) x)
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 (*.f64 9/40 x) x)
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (*.f64 x x)) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(+.f64 -1/2 (*.f64 9/40 (*.f64 x x)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(+.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 1 (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) -1/4))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 -1/4 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) -1/4) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (*.f64 9/40 (*.f64 x x))) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) -1/2))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) -1/2) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (*.f64 9/40 (*.f64 x x))))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2))) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8)) (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (/.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8)))
(*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (/.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (fma.f64 729/64000 (pow.f64 x 6) 1/8)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8)) (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
(*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (/.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8)))
(*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (/.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (fma.f64 729/64000 (pow.f64 x 6) 1/8)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8)) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) 1/4)) (*.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8)) (*.f64 9/40 (*.f64 (*.f64 x x) -1/2))))
(*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (/.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8)))
(*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (/.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (fma.f64 729/64000 (pow.f64 x 6) 1/8)))
(+.f64 (*.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) 1) (*.f64 (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) 1))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 -1/4 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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 (*.f64 9/40 (*.f64 x x)) (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))) (*.f64 (*.f64 9/40 (*.f64 x x)) (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(+.f64 (*.f64 (/.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))) (*.f64 (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))))
(+.f64 (/.f64 81/1600 (/.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (pow.f64 x 4))) (/.f64 -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))
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(*.f64 (fma.f64 (*.f64 9/40 x) x -1/2) (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4))))
(*.f64 (fma.f64 x (*.f64 9/40 x) -1/2) (/.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8))) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 729/64000 (pow.f64 x 6) 1/8))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))) (fma.f64 9/40 (*.f64 x x) -1/2))
(*.f64 (fma.f64 (*.f64 9/40 x) x -1/2) (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4))))
(*.f64 (fma.f64 x (*.f64 9/40 x) -1/2) (/.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8) (fma.f64 9/40 (*.f64 x x) 1/2))) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 729/64000 (pow.f64 x 6) 1/8))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8))) (*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8))) (*.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (fma.f64 (*.f64 9/40 x) x -1/2)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (*.f64 (fma.f64 x (*.f64 9/40 x) -1/2) (/.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 729/64000 (pow.f64 x 6) 1/8)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (+.f64 (*.f64 729/64000 (pow.f64 (*.f64 x x) 3)) 1/8) (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4))) (*.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) (+.f64 1/4 (*.f64 9/40 (*.f64 (*.f64 x x) -1/2)))) (fma.f64 9/40 (*.f64 x x) -1/2)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (*.f64 x x) 1/2)) (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 1/4)) (*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 729/64000 (pow.f64 (*.f64 x x) 3) 1/8))) (*.f64 (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (fma.f64 (*.f64 9/40 x) x -1/2)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -9/80) (fma.f64 81/1600 (pow.f64 x 4) 1/4)) (*.f64 (fma.f64 x (*.f64 9/40 x) -1/2) (/.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) 1/2) (fma.f64 81/1600 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 729/64000 (pow.f64 x 6) 1/8)))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(pow.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) -1)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(neg.f64 (/.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))
(*.f64 (+.f64 1/4 (*.f64 -81/1600 (pow.f64 x 4))) (/.f64 1 (-.f64 -1/2 (*.f64 (*.f64 9/40 x) x))))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -81/1600)) (+.f64 -1/2 (*.f64 (*.f64 x x) -9/40)))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 9/40 x) x -1/2) 2))
(fabs.f64 (fma.f64 x (*.f64 9/40 x) -1/2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) -1/4) 3) (pow.f64 (fma.f64 9/40 (*.f64 x x) 1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) 3) (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)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 (*.f64 (sqrt.f64 9/40) x) (*.f64 (sqrt.f64 9/40) x) -1/2)
(fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2)
(fma.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2)
(fma.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 9/40 x) x)) -1/2)
(fma.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)))) 1)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (*.f64 9/40 (*.f64 x x)) 2)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)) 1)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))) 3)
(*.f64 81/1600 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 6))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6))
(sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 4))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 4))
(fabs.f64 (*.f64 81/1600 (pow.f64 x 4)))
(log.f64 (exp.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
(*.f64 81/1600 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2)))))
(*.f64 81/1600 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 6))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 6))
(expm1.f64 (log1p.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
(*.f64 81/1600 (pow.f64 x 4))
(exp.f64 (*.f64 2 (log.f64 (*.f64 9/40 (*.f64 x x)))))
(*.f64 81/1600 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 2))
(*.f64 81/1600 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 9/40 (*.f64 x x)))) 1))
(*.f64 81/1600 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 81/1600 (pow.f64 (*.f64 x x) 2))))
(*.f64 81/1600 (pow.f64 x 4))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.16%
(/.f64 (sin.f64 x) x)
✓3.35%
(-.f64 1 (/.f64 (sin.f64 x) x))
Compiler

Compiled 15 to 6 computations (60% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116617
2216317
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 1 (/.f64 (sin.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))))))

simplify56.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1596×associate-/r*
1344×associate-*r/
1106×associate-*l/
984×associate-*r*
774×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0991212
12481152
29091132
338021132
Stop Event
1×node limit
Counts
42 → 47
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/120 (pow.f64 x 4)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (*.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) 1) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(-.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2)
0.01%
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
3.34%
(-.f64 (sin.f64 x) x)
✓3.49%
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
Compiler

Compiled 38 to 12 computations (68.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
0.0ms
x
@0
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
0.0ms
x
@0
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2)
0.0ms
x
@inf
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
0.0ms
x
@inf
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2)

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1650×associate-/l*
1124×*-commutative
846×distribute-lft-in
768×associate-/r/
438×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
126340
2411040
Stop Event
1×node limit
Counts
2 → 249
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2)
Outputs
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(/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) 64) (*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (+.f64 16 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (neg.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3 (/.f64 (+.f64 x (sin.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)))))

simplify173.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1002×distribute-lft-in
964×associate-*r*
872×associate-*l*
840×distribute-rgt-in
790×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066715265
1223914893
Stop Event
1×node limit
Counts
273 → 461
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/5040 (pow.f64 x 6)))))
3
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
3
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 0)
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 x 1 x)))
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 2 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2))
(+.f64 2 (+.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) 0))
(+.f64 2 (-.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) 0))
(+.f64 2 (*.f64 -1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(+.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -2)
(+.f64 0 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) 2)
(+.f64 -2 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(+.f64 -2 (*.f64 -1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))
(+.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(+.f64 (/.f64 (sin.f64 x) x) (+.f64 (neg.f64 (/.f64 x x)) 0))
(+.f64 (/.f64 (sin.f64 x) x) (-.f64 (neg.f64 (/.f64 x x)) 0))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 1 (neg.f64 (/.f64 x x))))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 -1 (neg.f64 (/.f64 x x))))
(+.f64 (/.f64 x x) (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 x x)) (/.f64 (sin.f64 x) x))
(+.f64 (+.f64 0 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x x)))
(+.f64 (*.f64 -1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (/.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 x (sin.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) -8) (/.f64 1 (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))))
(*.f64 (-.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(*.f64 (/.f64 1 (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) -8))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) x) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 0 (*.f64 x x))) x)
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (sin.f64 x)) (*.f64 x (sin.f64 x))))) (-.f64 (*.f64 x x) (*.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (sin.f64 x)) (*.f64 x (sin.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (+.f64 8 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) (-.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (+.f64 x (sin.f64 x))))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) -8) (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)) (*.f64 (+.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))) (+.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))))))) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) -8) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) 3) (pow.f64 (+.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)) (*.f64 (+.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))) (+.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))))) (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) (+.f64 4 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 0 (*.f64 x x))) x)
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 x)) 1) (/.f64 1 (+.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 x)) (pow.f64 (+.f64 x (sin.f64 x)) 2)) (+.f64 x (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 x)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 x)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 x)) (neg.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2))) (-.f64 x (sin.f64 x)))
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(/.f64 (-.f64 (*.f64 x (sin.f64 x)) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (neg.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) -8)) (neg.f64 (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))))
(/.f64 (neg.f64 (-.f64 x (sin.f64 x))) x)
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(fma.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x) 0)
(fma.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x) 0)
(fma.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -2)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) -2)
(-.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 0)
(-.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4) 2)
(-.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 x x) 2))
(-.f64 (/.f64 (sin.f64 x) x) (-.f64 (-.f64 (/.f64 x x) 0) 2))
(-.f64 (exp.f64 (log.f64 (+.f64 3 (/.f64 (+.f64 x (sin.f64 x)) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) -1)
(-.f64 (+.f64 2 (/.f64 (sin.f64 x) x)) (/.f64 x x))
(-.f64 (+.f64 2 (/.f64 (sin.f64 x) x)) (-.f64 (/.f64 x x) 0))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)) (-.f64 (/.f64 4 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)) 2))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))) (-.f64 (/.f64 8 (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))) 2))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)) (/.f64 4 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))) 1)
(-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4))) (/.f64 4 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)))
(-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2))))) (/.f64 8 (+.f64 4 (+.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))))
(*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 1)
(*.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4) (/.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))
(*.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (/.f64 1 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)) (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4))
(*.f64 (/.f64 1 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))) (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4) (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 8)) (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (*.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))))) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (+.f64 (pow.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) 3) (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (-.f64 (*.f64 (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x)))) (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))) (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (+.f64 4 (*.f64 (/.f64 2 x) (+.f64 x (sin.f64 x))))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2))
(/.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (/.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (/.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4))) (/.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))) (/.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) 64) (*.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 8)))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (-.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 16) (*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (-.f64 64 (*.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) 64) (*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (+.f64 16 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (neg.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))
(pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3))
(expm1.f64 (log.f64 (+.f64 3 (/.f64 (+.f64 x (sin.f64 x)) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(fma.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x) 2)
(fma.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x) 2)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/362880 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (*.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 2))
(+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 2)) (*.f64 1/5040 (pow.f64 x 6)))
3
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)
3
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 3 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 0)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 x 1 x)))
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 2 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 2 (+.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) 0))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 2 (-.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) 0))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 2 (*.f64 -1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(fma.f64 -1 (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(/.f64 (neg.f64 (+.f64 x (sin.f64 x))) x)
(+.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -2)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 0 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) 2)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 -2 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 -2 (*.f64 -1 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))
(fma.f64 -1 (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(/.f64 (neg.f64 (+.f64 x (sin.f64 x))) x)
(+.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (+.f64 (neg.f64 (/.f64 x x)) 0))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (-.f64 (neg.f64 (/.f64 x x)) 0))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 1 (neg.f64 (/.f64 x x))))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (*.f64 -1 (neg.f64 (/.f64 x x))))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 x x) (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 x x)) (/.f64 (sin.f64 x) x))
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(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (/.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))))) (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (sqrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))) (+.f64 4 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 x (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4))) (/.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (/.f64 (+.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))) (/.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)))) (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))
(*.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (/.f64 (+.f64 4 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 x (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))))) (cbrt.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) 64) (*.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (-.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 8)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 6) -64) (*.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)))) (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) -8)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 6) -64) (+.f64 -8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (+.f64 4 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 x (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))))))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (-.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 16) (*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4) -16) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)) (pow.f64 (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4) -16) (*.f64 (+.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 x))) (pow.f64 (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x))) 2)))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (-.f64 64 (*.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 3)) (*.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)))) (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 6) (+.f64 64 (*.f64 -8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))))))
(/.f64 (/.f64 (+.f64 512 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 3)) (+.f64 64 (+.f64 (*.f64 -8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 6)))) (+.f64 4 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 x (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) 64) (*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (+.f64 16 (*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) -64) (*.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2) (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4) (+.f64 16 (*.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 6) -64) (*.f64 (+.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 x))) (+.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (+.f64 16 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) -4)) (neg.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) -2)))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (-.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (-.f64 4 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (-.f64 1 (*.f64 (sin.f64 x) (/.f64 1 x))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (neg.f64 (+.f64 4 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))) (+.f64 -4 (neg.f64 (*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))))))
(/.f64 (-.f64 -8 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (-.f64 -4 (/.f64 (+.f64 x (sin.f64 x)) (/.f64 x (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))))))
(pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 1)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 2)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) 3)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3) 1/3)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(sqrt.f64 (pow.f64 (+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))))
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2) 3))
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(expm1.f64 (log.f64 (+.f64 3 (/.f64 (+.f64 x (sin.f64 x)) x))))
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)))
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(fma.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x) 2)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(fma.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x) 2)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(+.f64 2 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 3 (*.f64 (sin.f64 x) (/.f64 1 x)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.16%
(*.f64 (*.f64 9/40 x) x)
0.2%
(*.f64 9/40 x)
0.5%
(*.f64 -27/2800 (pow.f64 x 4))
✓25.78%
(+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series0.0ms (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)))

rewrite77.0ms (0.4%)

Algorithm
1×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
1×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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simplify154.0ms (0.8%)

Algorithm
1×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
1×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)))

eval790.0ms (4.3%)

Compiler

Compiled 40457 to 21588 computations (46.6% saved)

prune396.0ms (2.1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New159251597
Fresh033
Picked101
Done3710
Total1596151611
Error
0%
Counts
1611 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
47.9%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3) (-.f64 (tan.f64 x) x))
✓46.95%
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓48.29%
(/.f64 (+.f64 x (sin.f64 x)) x)
47.47%
(-.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
✓46.97%
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 2)
47.53%
(-.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2) 2)
47.53%
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3) 2)
✓47.53%
(-.f64 1 (/.f64 (sin.f64 x) x))
52.05%
(+.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
52.03%
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
✓50.9%
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
✓47.47%
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
✓48.29%
(+.f64 1 (/.f64 (sin.f64 x) x))
48.28%
1
51.7%
-1/2
Compiler

Compiled 149 to 107 computations (28.2% saved)

regimes48.0ms (0.3%)

Counts
25 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -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 1 (/.f64 (sin.f64 x) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3) 2)
(-.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2) 2)
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.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 (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 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
(-.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3) (-.f64 (tan.f64 x) x))
Outputs
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) 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:

32.0ms
x
10.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.04%3x
0.46%2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 266 to 134 computations (49.6% saved)

bsearch54.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.0004992365801504318
7901090.568331497
27.0ms
-0.3819531712752082
-6.507219937413427e-7
Results
46.0ms304×body256valid
Compiler

Compiled 526 to 350 computations (33.5% saved)

regimes42.0ms (0.2%)

Counts
23 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -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 1 (/.f64 (sin.f64 x) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3) 2)
(-.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2) 2)
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.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 (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 1 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (sin.f64 x))) x))
(-.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 (+.f64 1 (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 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:

31.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.04%3x
0.46%2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 243 to 128 computations (47.3% saved)

bsearch51.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
0.0004992365801504318
7901090.568331497
25.0ms
-0.3819531712752082
-6.507219937413427e-7
Results
46.0ms304×body256valid
Compiler

Compiled 508 to 332 computations (34.6% saved)

regimes28.0ms (0.1%)

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

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
0.38%3x
Compiler

Compiled 146 to 89 computations (39% saved)

bsearch52.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.0004992365801504318
7901090.568331497
25.0ms
-1183313.9487147313
-0.3819531712752082
Results
48.0ms304×body256valid
Compiler

Compiled 508 to 351 computations (30.9% saved)

regimes25.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -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 1 (/.f64 (sin.f64 x) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3) 2)
(-.f64 (+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2) 2)
(-.f64 (+.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x)) 2) 2)
(+.f64 (+.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(+.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
Outputs
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
1.15%3x
Compiler

Compiled 137 to 84 computations (38.7% saved)

bsearch73.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
0.0004992365801504318
7901090.568331497
24.0ms
-1183313.9487147313
-0.3819531712752082
Results
69.0ms304×body256valid
Compiler

Compiled 451 to 304 computations (32.6% saved)

regimes17.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -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 1 (/.f64 (sin.f64 x) x))
(-.f64 1 (/.f64 (sin.f64 x) x))
Outputs
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
(-.f64 1 (/.f64 (sin.f64 x) x))
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.15%3x
Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch52.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
0.0004992365801504318
7901090.568331497
26.0ms
-1183313.9487147313
-0.3819531712752082
Results
48.0ms304×body256valid
Compiler

Compiled 451 to 313 computations (30.6% saved)

regimes15.0ms (0.1%)

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

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
1.18%3x
Compiler

Compiled 52 to 36 computations (30.8% saved)

bsearch51.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
0.0004992365801504318
7901090.568331497
25.0ms
-1183313.9487147313
-0.3819531712752082
Results
46.0ms304×body256valid
Compiler

Compiled 401 to 283 computations (29.4% saved)

regimes33.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
-1/2
1
(+.f64 (*.f64 (*.f64 9/40 x) x) -1/2)
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -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))
Outputs
1
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2)
1
Calls

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
1.19%3x
Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch51.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.0004992365801504318
7901090.568331497
26.0ms
-1183313.9487147313
-0.3819531712752082
Results
47.0ms304×body256valid
Compiler

Compiled 356 to 256 computations (28.1% saved)

regimes26.0ms (0.1%)

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

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
1.26%3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch51.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.0004992365801504318
7901090.568331497
25.0ms
-1183313.9487147313
-0.3819531712752082
Results
47.0ms304×body256valid
Compiler

Compiled 242 to 199 computations (17.8% saved)

regimes9.0ms (0%)

Accuracy

Total -62.0b remaining (-6275.6%)

Threshold costs -62b (-6275.6%)

Counts
2 → 3
Calls
Call 1
Inputs
-1/2
1
Outputs
1
-1/2
1
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
1.54%3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch60.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.0004992365801504318
7901090.568331497
33.0ms
-1183313.9487147313
-0.3819531712752082
Results
56.0ms304×body256valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×+-commutative
20×sub-neg
16×*-commutative
10×if-if-or-not
8×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070664
1107664
2123664
3131664
4135664
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1062849512059437/36028797018963968) (expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (if (<=.f64 x 1062849512059437/36028797018963968) (+.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 -1062849512059437/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1062849512059437/36028797018963968) (+.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 (tan.f64 x) (sin.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 (tan.f64 x) (sin.f64 x)) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (/.f64 (+.f64 x (sin.f64 x)) x) (if (<=.f64 x 11/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (+.f64 1 (/.f64 (sin.f64 x) x)) (if (<=.f64 x 11/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (+.f64 1 (/.f64 (sin.f64 x) x)) (if (<=.f64 x 3321404725185741/1125899906842624) (+.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 3321404725185741/1125899906842624) (+.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 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 889460926405673/562949953421312) -1/2 1))
-1/2
Outputs
(if (<=.f64 x -1062849512059437/36028797018963968) (expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (if (<=.f64 x 1062849512059437/36028797018963968) (+.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 -1062849512059437/36028797018963968) (expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (if (<=.f64 x 1062849512059437/36028797018963968) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -1062849512059437/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 1062849512059437/36028797018963968) (+.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 -1062849512059437/36028797018963968) (not (<=.f64 x 1062849512059437/36028797018963968))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2))
(if (<=.f64 x -5854679515581645/2251799813685248) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.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 (tan.f64 x) (sin.f64 x)) x))))
(if (or (<=.f64 x -5854679515581645/2251799813685248) (not (<=.f64 x 5854679515581645/2251799813685248))) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2))
(if (<=.f64 x -6530219459687219/2251799813685248) (/.f64 (+.f64 x (sin.f64 x)) x) (if (<=.f64 x 11/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (/.f64 (+.f64 x (sin.f64 x)) x) (if (<=.f64 x 11/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (+.f64 1 (/.f64 (sin.f64 x) x)) (if (<=.f64 x 11/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (+.f64 1 (/.f64 (sin.f64 x) x)) (if (<=.f64 x 11/4) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) (-.f64 1 (/.f64 (sin.f64 x) x))))
(if (<=.f64 x -6530219459687219/2251799813685248) (+.f64 1 (/.f64 (sin.f64 x) x)) (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) 9/40)) -1/2) 1))
(if (<=.f64 x -6530219459687219/2251799813685248) (+.f64 1 (/.f64 (sin.f64 x) x)) (if (<=.f64 x 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) 1))
(if (<=.f64 x -6530219459687219/2251799813685248) 1 (if (<=.f64 x 3321404725185741/1125899906842624) (+.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 3321404725185741/1125899906842624) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -27/2800) 9/40)) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 -1/2 (*.f64 x (*.f64 x 9/40))) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) 1 (if (<=.f64 x 889460926405673/562949953421312) -1/2 1))
-1/2
Compiler

Compiled 259 to 173 computations (33.2% saved)

soundness843.0ms (4.5%)

Algorithm
3×egg-herbie
Rules
1470×associate-*r*
1288×associate-*l*
1112×associate-/l*
1016×fma-def
1016×fma-def
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
074714288
1224114134
Stop Event
1×node limit
1×saturated
1×saturated
Compiler

Compiled 429 to 174 computations (59.4% saved)

end128.0ms (0.7%)

Compiler

Compiled 250 to 146 computations (41.6% saved)

Profiling

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