Details

Time bar (total: 6.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
100%49.6%0%50.4%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.6s (67.8%)

Results
3.5s4439×body2048valid
788.0ms1992×body1024valid
262.0ms1062×body512valid
91.0ms763×body256valid
Bogosity

preprocess16.0ms (0.2%)

Algorithm
egg-herbie
Rules
sub-neg_binary64
fma-def_binary64
+-commutative_binary64
associate-+l-_binary64
associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
196
2136
3196
4266
5366
6476
7596
8626
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (cos.f64 x))
Outputs
(-.f64 1 (cos.f64 x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64
fma-def_binary64
+-commutative_binary64
associate-+l-_binary64
associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
196
2136
3196
4266
5366
6476
7596
8626
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
Outputs
(-.f64 1 (cos.f64 x))

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
30.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
30.3b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.9b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 9 to 5 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 1 (cos.f64 x))
0.0ms
x
@inf
(-.f64 1 (cos.f64 x))
0.0ms
x
@-inf
(-.f64 1 (cos.f64 x))

rewrite37.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
517×pow1_binary64
503×add-sqr-sqrt_binary64
481×add-log-exp_binary64
481×log1p-expm1-u_binary64
481×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11026
212506
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))))

simplify45.0ms (0.7%)

Algorithm
egg-herbie
Rules
632×times-frac_binary64
444×div-sub_binary64
439×associate-/l*_binary64
400×distribute-rgt-in_binary64
376×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090416
1227376
2679351
33229351
Stop Event
node limit
Counts
32 → 45
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/40320 (pow.f64 x 8) (*.f64 -1/24 (pow.f64 x 4)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) -1) (fma.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)) -1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))

eval10.0ms (0.1%)

Compiler

Compiled 498 to 311 computations (37.6% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh000
Picked011
Done000
Total41546
Error
0b
Counts
46 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
0.8b
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
30.3b
(-.f64 1 (cos.f64 x))
0.0b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
0.3b
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 43 to 31 computations (27.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/2 (*.f64 x x))
1.0ms
x
@inf
(*.f64 1/2 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 1/2 (*.f64 x x))

rewrite39.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
432×pow1_binary64
420×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
401×add-log-exp_binary64
401×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211477
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))))))

simplify54.0ms (0.8%)

Algorithm
egg-herbie
Rules
1079×log-prod_binary64
445×associate-*l*_binary64
384×associate-*r*_binary64
322×associate-+l+_binary64
306×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046216
1101206
2358191
33053191
46340191
Stop Event
node limit
Counts
26 → 18
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 0 (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))
(*.f64 1/2 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 1/3)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 x x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(*.f64 1/2 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))
(*.f64 1/2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
709×pow1_binary64
657×add-log-exp_binary64
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
645×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114911
2177711
Stop Event
node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))))))

simplify43.0ms (0.6%)

Algorithm
egg-herbie
Rules
587×log-prod_binary64
498×fma-def_binary64
378×distribute-rgt-out_binary64
337×distribute-rgt-in_binary64
328×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069481
1158442
2435403
32114403
45888403
Stop Event
node limit
Counts
27 → 35
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) -1)
(+.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (cos.f64 x))
0.0b
(*.f64 (sin.f64 x) (sin.f64 x))
0.1b
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
0.8b
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
Compiler

Compiled 38 to 15 computations (60.5% saved)

series5.0ms (0.1%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
1.0ms
x
@inf
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
1.0ms
x
@-inf
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
0.0ms
x
@0
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))

rewrite85.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
483×log-prod_binary64
386×prod-diff_binary64
299×pow-prod-down_binary64
254×pow2_binary64
207×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0943
120727
2305827
Stop Event
node limit
Counts
4 → 210
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(+.f64 1 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) -2) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (cos.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -2) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 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simplify110.0ms (1.6%)

Algorithm
egg-herbie
Rules
310×associate-/l/_binary64
305×cancel-sign-sub-inv_binary64
282×sqr-pow_binary64
234×div-sub_binary64
201×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04903475
111623350
240543097
Stop Event
node limit
Counts
254 → 310
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 -1 (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) -2) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1) (pow.f64 (sin.f64 x) 2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (sin.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -3) -1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) -3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -2)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 -1 (-.f64 1 (cos.f64 x)))) -1)
(pow.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(+.f64 0 (/.f64 1 (-.f64 1 (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)))
(*.f64 (+.f64 -1 (neg.f64 (cos.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) -2) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -2)
(pow.f64 (-.f64 1 (cos.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 6)) 1/3)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) -1)
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 6)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) -1))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 1/2 (neg.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(-.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(/.f64 1 (pow.f64 (sin.f64 x) -2))
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) 2) (*.f64 1/2 (*.f64 (cos.f64 (+.f64 x x)) 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (pow.f64 (sin.f64 x) 3) 2/3)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 x) 6) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 x)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 4)
(pow.f64 (pow.f64 (sin.f64 x) -2) -1)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))) -1)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(cbrt.f64 (pow.f64 (sin.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (sin.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 x)))) 1)
(*.f64 1 (+.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(pow.f64 (+.f64 1 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (-.f64 1 (cos.f64 x)) -3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x))))) 3)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (cos.f64 x))) 2))
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (cos.f64 x) 1 1)
(fma.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) -2) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (+.f64 -1 (neg.f64 (cos.f64 x))) (/.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (pow.f64 (sin.f64 x) -2) (+.f64 1 (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 (*.f64 x x) 1/120 1/6))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (*.f64 x x)))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/3024 (/.f64 2 (*.f64 x x))) (fma.f64 (*.f64 x x) 1/120 1/6))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (sin.f64 x) 2))
(/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -1/3 (fma.f64 (pow.f64 x 8) -1/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 2 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 2) (fma.f64 (pow.f64 x 4) 1/24 (*.f64 (pow.f64 x 6) -1/720)))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 x x)) 1/2) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (cos.f64 (+.f64 x x)) (/.f64 (+.f64 1 (cos.f64 x)) 1/2)))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 -1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(+.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 -1/2 (/.f64 (+.f64 1 (cos.f64 x)) (cos.f64 (+.f64 x x)))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) -2) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (-.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(-.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(fma.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 2 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
0.1b
(*.f64 -1/24 (pow.f64 x 4))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series6.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 -1/24 (pow.f64 x 4))
1.0ms
x
@0
(*.f64 -1/24 (pow.f64 x 4))
0.0ms
x
@inf
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
0.0ms
x
@-inf
(*.f64 -1/24 (pow.f64 x 4))
0.0ms
x
@0
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))

rewrite63.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
730×pow1_binary64
682×add-log-exp_binary64
682×log1p-expm1-u_binary64
682×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118621
2193421
Stop Event
node limit
Counts
2 → 32
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 4))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) 1) (*.f64 -1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (*.f64 (pow.f64 x 8) 1/576)) (-.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))))

simplify43.0ms (0.6%)

Algorithm
egg-herbie
Rules
514×fma-neg_binary64
382×fma-def_binary64
379×cancel-sign-sub-inv_binary64
368×unswap-sqr_binary64
367×log-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083598
1218575
2999565
34283561
Stop Event
node limit
Counts
44 → 47
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 1/2 x) x))
(+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) 1) (*.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(*.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (*.f64 (pow.f64 x 8) 1/576)) (-.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/576))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 (*.f64 1/2 x) x))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) 1) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 3) (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 x (*.f64 1/2 x)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) -1/48)))))
(/.f64 (fma.f64 -1/13824 (pow.f64 (*.f64 x x) 6) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (fma.f64 (pow.f64 x 8) 1/576 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) 1/48) 1/4))))
(/.f64 (*.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/13824 (pow.f64 x 6)) 1/8)) (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/48 -1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (*.f64 (pow.f64 x 8) 1/576)) (-.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 x) (*.f64 x (*.f64 1/2 (*.f64 x x)))) (*.f64 (pow.f64 x 8) 1/576)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (pow.f64 x 8) -1/576)) (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 2))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))

eval133.0ms (1.9%)

Compiler

Compiled 6487 to 4142 computations (36.1% saved)

prune90.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4064410
Fresh000
Picked101
Done314
Total4105415
Error
0b
Counts
415 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
0.8b
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
30.3b
(-.f64 1 (cos.f64 x))
0.1b
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.3b
(*.f64 x (*.f64 1/2 x))
Compiler

Compiled 47 to 33 computations (29.8% saved)

localize4.0ms (0.1%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.3b
(*.f64 x -1/24)
Compiler

Compiled 26 to 15 computations (42.3% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 x -1/24)
1.0ms
x
@-inf
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
1.0ms
x
@inf
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms
x
@0
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
0.0ms
x
@-inf
(*.f64 x -1/24)

rewrite59.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
735×pow1_binary64
684×add-log-exp_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
669×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116418
2188418
Stop Event
node limit
Counts
2 → 26
Calls
Call 1
Inputs
(*.f64 x -1/24)
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))))))

simplify64.0ms (0.9%)

Algorithm
egg-herbie
Rules
855×fma-def_binary64
782×log-prod_binary64
393×unswap-sqr_binary64
387×associate-+l+_binary64
362×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077449
1206449
2778449
33212449
47120449
Stop Event
node limit
Counts
50 → 35
Calls
Call 1
Inputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 1/576))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
Outputs
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(*.f64 -1/24 x)
(pow.f64 (*.f64 x -1/24) 1)
(*.f64 -1/24 x)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(*.f64 -1/24 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(*.f64 -1/24 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(*.f64 -1/24 x)
(sqrt.f64 (*.f64 (*.f64 x x) 1/576))
(*.f64 -1/24 x)
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(*.f64 -1/24 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(*.f64 -1/24 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (log.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3) (pow.f64 (*.f64 x x) 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) 1/2))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
0.1b
(/.f64 2 (*.f64 x x))
0.8b
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
Compiler

Compiled 29 to 17 computations (41.4% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 2 (*.f64 x x))
0.0ms
x
@inf
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
0.0ms
x
@0
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
0.0ms
x
@inf
(/.f64 2 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))

rewrite53.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
939×pow1_binary64
882×add-log-exp_binary64
881×log1p-expm1-u_binary64
881×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
119926
2245726
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))))
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simplify89.0ms (1.3%)

Algorithm
egg-herbie
Rules
669×unswap-sqr_binary64
360×associate-/r*_binary64
293×associate-*l/_binary64
266×fma-neg_binary64
253×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02031489
14861370
215891358
379751358
Stop Event
node limit
Counts
118 → 123
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(*.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 2 (pow.f64 x -2)))
(*.f64 2 (pow.f64 x -2))
(*.f64 (*.f64 2 (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) 2)
(*.f64 (/.f64 2 x) (/.f64 1 x))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))
(*.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(*.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 1 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))
(/.f64 1 (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (neg.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 8)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -72 6)
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (/.f64 72 (*.f64 x x)))
(+.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 6 (/.f64 -72 (*.f64 x x))))
(+.f64 (fma.f64 (pow.f64 x -2) -72 6) (/.f64 864 (pow.f64 x 4)))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 6 (/.f64 -72 (*.f64 x x)))) (/.f64 10368 (pow.f64 x 6)))
(+.f64 (+.f64 (fma.f64 (pow.f64 x -2) -72 6) (/.f64 864 (pow.f64 x 4))) (/.f64 -10368 (pow.f64 x 6)))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -72 6)
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (/.f64 72 (*.f64 x x)))
(+.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 6 (/.f64 -72 (*.f64 x x))))
(+.f64 (fma.f64 (pow.f64 x -2) -72 6) (/.f64 864 (pow.f64 x 4)))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 6 (/.f64 -72 (*.f64 x x)))) (/.f64 10368 (pow.f64 x 6)))
(+.f64 (+.f64 (fma.f64 (pow.f64 x -2) -72 6) (/.f64 864 (pow.f64 x 4))) (/.f64 -10368 (pow.f64 x 6)))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) (pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (/.f64 1 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))
(*.f64 (/.f64 1 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 3) 1/3)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 3))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 1 (*.f64 2 (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (*.f64 x x))
(*.f64 (*.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 2)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(*.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(*.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 1 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 1 (/.f64 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 1 (/.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x)))))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (neg.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 1/3 (*.f64 x x))))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
0.1b
(/.f64 2 (*.f64 x x))
0.8b
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
Compiler

Compiled 47 to 26 computations (44.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
0.0ms
x
@0
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))

rewrite49.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
599×unpow-prod-down_binary64
438×log-prod_binary64
280×pow2_binary64
247×pow-prod-down_binary64
196×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
124118
2290018
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 2))))))

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
440×associate-*l*_binary64
414×associate-*r*_binary64
291×exp-prod_binary64
284×fabs-mul_binary64
231×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471115
13631089
28851085
346861038
Stop Event
node limit
Counts
52 → 82
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/17280 (pow.f64 x 8)) (*.f64 1/720 (pow.f64 x 6)))))
(/.f64 120 (pow.f64 x 2))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(/.f64 120 (pow.f64 x 2))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 0 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3))
(pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3) 1/3)
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 3)
(pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -3)
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) 2)
(pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))
(cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 2))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/17280 (pow.f64 x 8)) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/17280 (pow.f64 x 8) (*.f64 1/720 (pow.f64 x 6)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/17280 (pow.f64 x 8)))))
(/.f64 120 (pow.f64 x 2))
(/.f64 120 (*.f64 x x))
(*.f64 120 (pow.f64 x -2))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))
(+.f64 (/.f64 120 (*.f64 x x)) (/.f64 -2400 (pow.f64 x 4)))
(fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (/.f64 120 (*.f64 x x)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4))) (/.f64 19200 (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 192000 (pow.f64 x 8)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 120 (*.f64 x x)) (/.f64 19200 (pow.f64 x 6))) (-.f64 (/.f64 192000 (pow.f64 x 8)) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (/.f64 120 (*.f64 x x)) (-.f64 (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4))) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))))
(/.f64 120 (pow.f64 x 2))
(/.f64 120 (*.f64 x x))
(*.f64 120 (pow.f64 x -2))
(-.f64 (*.f64 120 (/.f64 1 (pow.f64 x 2))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))
(+.f64 (/.f64 120 (*.f64 x x)) (/.f64 -2400 (pow.f64 x 4)))
(fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2)))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (/.f64 120 (*.f64 x x)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 -2400 (pow.f64 x 4))))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4))) (/.f64 19200 (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 192000 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 19200 (/.f64 1 (pow.f64 x 6))) (*.f64 120 (/.f64 1 (pow.f64 x 2))))) (*.f64 2400 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 192000 (pow.f64 x 8)) (+.f64 (/.f64 19200 (pow.f64 x 6)) (-.f64 (/.f64 120 (*.f64 x x)) (/.f64 2400 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 120 (*.f64 x x)) (/.f64 19200 (pow.f64 x 6))) (-.f64 (/.f64 192000 (pow.f64 x 8)) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (/.f64 120 (*.f64 x x)) (-.f64 (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))) (/.f64 2400 (pow.f64 x 4))))
(+.f64 (fma.f64 120 (pow.f64 x -2) (/.f64 -2400 (pow.f64 x 4))) (+.f64 (/.f64 19200 (pow.f64 x 6)) (/.f64 192000 (pow.f64 x 8))))
(+.f64 0 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 1)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 1 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2) (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6))) -2) (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))) 8)) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 2) 3) (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2) 1/2)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3) 1/3)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1/2)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)) 3) -1/6))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 3)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -3)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -1/2) 2)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (sqrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -2)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) -1)
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(sqrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -2))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(cbrt.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))) -1))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)) -3)) 1/3))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6))))) 3))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))) 2))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 (*.f64 x x) 1/120 (fma.f64 2 (pow.f64 x -2) 1/6)))

eval174.0ms (2.5%)

Compiler

Compiled 5065 to 3887 computations (23.3% saved)

prune41.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3073310
Fresh000
Picked011
Done134
Total3087315
Error
0b
Counts
315 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
0.8b
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
1.0b
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
30.3b
(-.f64 1 (cos.f64 x))
0.1b
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
0.3b
(*.f64 x (*.f64 1/2 x))
61.3b
6
Compiler

Compiled 66 to 47 computations (28.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
0.1b
(*.f64 x (*.f64 x -1/24))
0.1b
(*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x))
0.3b
(*.f64 x -1/24)
Compiler

Compiled 44 to 22 computations (50% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
0.0ms
x
@inf
(*.f64 x (*.f64 x -1/24))
0.0ms
x
@0
(*.f64 x (*.f64 x -1/24))
0.0ms
x
@0
(*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x))
0.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x))

rewrite65.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
588×log-prod_binary64
548×fma-def_binary64
400×pow-prod-down_binary64
275×pow2_binary64
248×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122228
2299428
Stop Event
node limit
Counts
3 → 129
Calls
Call 1
Inputs
(*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x))
(*.f64 x (*.f64 x -1/24))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
Outputs
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(pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) 1) x (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))))))

simplify63.0ms (0.9%)

Algorithm
egg-herbie
Rules
920×times-frac_binary64
420×distribute-rgt-in_binary64
392×distribute-lft-in_binary64
308×unswap-sqr_binary64
213×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02982394
17602332
223612269
Stop Event
node limit
Counts
165 → 165
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 3)
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24))) 2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -1/24))) 3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 x 4) -1/24))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(+.f64 0 (*.f64 x (*.f64 x -1/24)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/24))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(*.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)) (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))))
(*.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(*.f64 (fma.f64 x (*.f64 x -1/24) 1/2) (*.f64 x x))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 (*.f64 (*.f64 (pow.f64 x 4) -1/24) (*.f64 x 1/2)) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)))
(pow.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24)) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2)) (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))) -1)
(pow.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2)) (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4)))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))) (sqrt.f64 (pow.f64 (exp.f64 x) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2)))) (exp.f64 (*.f64 (pow.f64 x 4) -1/24))))
(log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
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(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
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(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
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(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x (*.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 1 (*.f64 (pow.f64 x 4) -1/24) (*.f64 x (*.f64 x 1/2)))
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 3) (*.f64 x -1/24) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 -1/24))) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 2) (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x 1/2) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 -1/24 (pow.f64 x 3)) x (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (*.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) 1) x (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))
Outputs
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 4))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -1/24))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24))) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) -1/24) 1)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24))) 2)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(*.f64 -1/24 (pow.f64 x 4))
(pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -1/24))) 3)
(*.f64 -1/24 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24))))
(*.f64 -1/24 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3))
(*.f64 -1/24 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24)))) 2))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 x 4) -1/24))) 1/3))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(*.f64 -1/24 (pow.f64 x 4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(*.f64 -1/24 (pow.f64 x 4))
(+.f64 0 (*.f64 x (*.f64 x -1/24)))
(*.f64 -1/24 (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/24 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/24 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/24 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))))
(*.f64 -1/24 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 1/576) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) 1/3)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))
(*.f64 -1/24 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))
(*.f64 -1/24 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(*.f64 -1/24 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))
(*.f64 -1/24 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24)))) 3))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/24))) 2))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1) 1))
(*.f64 -1/24 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 1)
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 2) (*.f64 -1/4 (pow.f64 x 4))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 -1/24 x) -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 2) (*.f64 (pow.f64 x 4) -1/4)) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)))
(/.f64 (fma.f64 1/576 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/4)) (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) -1/2)))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 x (fma.f64 x 1/2 (*.f64 -1/24 (pow.f64 x 3))))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))) 1)
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 1 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 -1/24 x) 1/2))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 4)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 4)))
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(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6)) 1/3))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 3))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1) 1))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 x (*.f64 -1/24 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x -1/24) (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (pow.f64 x 4) -1/24) 1 (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x (*.f64 x 1/2)) 1 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 1 (*.f64 (pow.f64 x 4) -1/24) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 x 3) (*.f64 x -1/24) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))) (*.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 -1/24))) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 2) (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x 1/2) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 -1/24 (pow.f64 x 3)) x (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 x 1/2) 1) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 x (*.f64 x (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))) (*.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) 1/2))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/24))) (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) 1) x (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x)))
0.2b
(*.f64 (/.f64 2 x) (/.f64 1 x))
0.8b
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
Compiler

Compiled 38 to 29 computations (23.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
0.0ms
x
@inf
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
0.0ms
x
@-inf
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
0.0ms
x
@-inf
(*.f64 (/.f64 2 x) (/.f64 1 x))
0.0ms
x
@inf
(+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x)))

rewrite66.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
459×log-prod_binary64
361×exp-prod_binary64
303×prod-exp_binary64
258×pow2_binary64
243×pow-prod-down_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01030
122530
2283826
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x)))
Outputs
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x -1/2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) 1/6)))))

simplify73.0ms (1.1%)

Algorithm
egg-herbie
Rules
581×unswap-sqr_binary64
422×fma-def_binary64
366×distribute-rgt-in_binary64
336×distribute-lft-in_binary64
235×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04462793
110522725
227252584
Stop Event
node limit
Counts
225 → 255
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 1 (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(*.f64 (/.f64 1 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (-.f64 1/6 (*.f64 2 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1) 1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)))
(+.f64 0 (*.f64 2 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(/.f64 1 (*.f64 (*.f64 x 1/2) x))
(/.f64 1 (*.f64 x (*.f64 x 1/2)))
(/.f64 1 (/.f64 (*.f64 x x) 2))
(/.f64 1 (/.f64 x (/.f64 2 x)))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 (neg.f64 x) 2))
(/.f64 (/.f64 2 x) x)
(/.f64 (/.f64 1 x) (*.f64 x 1/2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 2 x))))
(/.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 x (sqrt.f64 (/.f64 2 x))))
(/.f64 -1 (*.f64 (*.f64 x 1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x 1/2)))
(/.f64 -2 (neg.f64 (*.f64 x x)))
(/.f64 -2 (*.f64 (neg.f64 x) x))
(/.f64 -2 (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 2 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 2 x) 1) x)
(/.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (*.f64 -2 (/.f64 1 x)) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 2 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 2 x) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) -2) (neg.f64 x))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 2 (pow.f64 x -2))))
(pow.f64 (/.f64 4 (pow.f64 x 4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (/.f64 8 (pow.f64 x 6)) 1/3)
(pow.f64 (*.f64 (*.f64 x 1/2) x) -1)
(pow.f64 (*.f64 x (*.f64 x 1/2)) -1)
(pow.f64 (/.f64 (*.f64 x x) 2) -1)
(pow.f64 (/.f64 x (/.f64 2 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))) (sqrt.f64 (log.f64 (*.f64 2 (pow.f64 x -2)))))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (/.f64 8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) x)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 8 (pow.f64 x 6))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 3) 1/3))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 x)) 1) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 x)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) -1) (log.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 x)) 1) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (/.f64 2 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 x)) 1) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (/.f64 2 x))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (/.f64 2 x))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (/.f64 2 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (*.f64 (log.f64 (/.f64 2 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (*.f64 (log.f64 (/.f64 2 x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(-.f64 (/.f64 1/36 (-.f64 1/6 (*.f64 2 (pow.f64 x -2)))) (/.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/6 (*.f64 2 (pow.f64 x -2)))))
(*.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (/.f64 1 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(*.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 1 (-.f64 1/6 (*.f64 2 (pow.f64 x -2)))))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36) (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (-.f64 1/6 (*.f64 2 (pow.f64 x -2))) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (-.f64 1/6 (*.f64 2 (pow.f64 x -2))))
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) (neg.f64 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (-.f64 1/6 (*.f64 2 (pow.f64 x -2)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(pow.f64 (E.f64) (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) -1/3)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36) (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (-.f64 1/6 (*.f64 2 (pow.f64 x -2))) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) 1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)))
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 2 x) (/.f64 1 x) 1/6)
(fma.f64 (/.f64 1 x) (/.f64 2 x) 1/6)
(fma.f64 (*.f64 2 (pow.f64 x -2)) 1 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 2 x)) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(fma.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)) 1/6)
(fma.f64 (pow.f64 x -1/2) (/.f64 (/.f64 2 x) (sqrt.f64 x)) 1/6)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 2 x)) 1/6)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x) 1/6)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 2 x) (cbrt.f64 x)) 1/6)
(fma.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)) 1/6)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)) 1/6)
(fma.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (pow.f64 x -1/2) 1/6)
(fma.f64 (/.f64 2 (sqrt.f64 x)) (pow.f64 x -3/2) 1/6)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)) 1/6)
(fma.f64 (/.f64 (/.f64 2 x) 1) (/.f64 1 x) 1/6)
(fma.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)) 1/6)
(fma.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 1/6)
(fma.f64 (*.f64 (/.f64 2 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 1/6)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) 1/6)
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) 1/6)
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3456 (pow.f64 x 8)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -72 6)
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x))))
(+.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 6 (/.f64 -72 (*.f64 x x))))
(+.f64 (/.f64 864 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) -72 6))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6))))
(+.f64 (/.f64 864 (pow.f64 x 4)) (-.f64 6 (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) -72 (/.f64 -10368 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(fma.f64 (pow.f64 x -2) -72 6)
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x))))
(+.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 6 (/.f64 -72 (*.f64 x x))))
(+.f64 (/.f64 864 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) -72 6))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 6 (/.f64 864 (pow.f64 x 4))) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6))))
(+.f64 (/.f64 864 (pow.f64 x 4)) (-.f64 6 (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (fma.f64 (pow.f64 x -2) -72 (/.f64 -10368 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 0 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
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(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (/.f64 1 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(*.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (/.f64 1 (-.f64 1/6 (*.f64 2 (pow.f64 x -2)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 1 (/.f64 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36) (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))))
(*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (/.f64 1 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(/.f64 1 (/.f64 (-.f64 1/6 (*.f64 2 (pow.f64 x -2))) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
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(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (/.f64 1 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (/.f64 1/3 (*.f64 x x)))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (/.f64 1/3 (*.f64 x x))))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (+.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 -1/3 (*.f64 x x)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (-.f64 1/6 (*.f64 2 (pow.f64 x -2))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (neg.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) (neg.f64 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (/.f64 1 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(/.f64 (neg.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (neg.f64 (-.f64 1/6 (*.f64 2 (pow.f64 x -2)))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (E.f64) (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2) 1/2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) -1/6) (pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -3) -1/6))
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -3)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) -2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (/.f64 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36) (+.f64 1/216 (/.f64 8 (pow.f64 x 6)))) -1)
(*.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (/.f64 1 (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36)))
(/.f64 (+.f64 1/216 (/.f64 8 (pow.f64 x 6))) (fma.f64 (*.f64 2 (pow.f64 x -2)) (fma.f64 2 (pow.f64 x -2) -1/6) 1/36))
(pow.f64 (/.f64 (-.f64 1/6 (*.f64 2 (pow.f64 x -2))) (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) -1)
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1/3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 2))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) 1))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 (/.f64 2 x) (/.f64 1 x) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 1 x) (/.f64 2 x) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (*.f64 2 (pow.f64 x -2)) 1 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 2 x)) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 2 x) (/.f64 1 (cbrt.f64 x))) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (*.f64 x (cbrt.f64 x))) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(+.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) 2) 1/6)
(+.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 2) x) 2))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (pow.f64 x -1/2) (/.f64 (/.f64 2 x) (sqrt.f64 x)) 1/6)
(fma.f64 (pow.f64 x -1/2) (/.f64 2 (*.f64 (sqrt.f64 x) x)) 1/6)
(fma.f64 (/.f64 2 (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2) 1/6)
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 2 x)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 2 x) (cbrt.f64 x)) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 2 (*.f64 (cbrt.f64 x) x)) 1/6)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 2 (*.f64 x (cbrt.f64 x))) 1/6)
(fma.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 1 x) (cbrt.f64 x)) 1/6)
(fma.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (/.f64 1 (*.f64 (cbrt.f64 x) x)) 1/6)
(fma.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (/.f64 1 (*.f64 x (cbrt.f64 x))) 1/6)
(+.f64 1/6 (/.f64 (/.f64 2 (cbrt.f64 (*.f64 x x))) (*.f64 x (cbrt.f64 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (*.f64 x x))) 1/6)
(fma.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)) 1/6)
(fma.f64 (/.f64 (/.f64 2 x) (sqrt.f64 x)) (pow.f64 x -1/2) 1/6)
(fma.f64 (pow.f64 x -1/2) (/.f64 2 (*.f64 (sqrt.f64 x) x)) 1/6)
(fma.f64 (/.f64 2 (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2) 1/6)
(fma.f64 (/.f64 2 (sqrt.f64 x)) (pow.f64 x -3/2) 1/6)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)) 1/6)
(fma.f64 (/.f64 (/.f64 2 x) 1) (/.f64 1 x) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 (/.f64 2 x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)) 1/6)
(fma.f64 (/.f64 2 (*.f64 (cbrt.f64 (*.f64 x x)) x)) (/.f64 1 (cbrt.f64 x)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) x)))
(fma.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 2 x) (/.f64 1 (cbrt.f64 x))) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 2 (*.f64 x (cbrt.f64 x))) 1/6)
(fma.f64 (*.f64 (/.f64 2 x) (pow.f64 x -1/2)) (pow.f64 x -1/2) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)

eval151.0ms (2.2%)

Compiler

Compiled 6696 to 5071 computations (24.3% saved)

prune65.0ms (1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4302432
Fresh011
Picked101
Done145
Total4327439
Error
0b
Counts
439 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
0.9b
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
0.9b
(/.f64 1 (+.f64 1/6 (/.f64 1 (/.f64 x (/.f64 2 x)))))
30.3b
(-.f64 1 (cos.f64 x))
0.1b
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
0.3b
(*.f64 x (*.f64 1/2 x))
61.3b
6
Compiler

Compiled 66 to 47 computations (28.8% saved)

regimes17.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
6
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
(/.f64 1 (+.f64 1/6 (/.f64 1 (/.f64 x (/.f64 2 x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Calls

3 calls:

8.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 1 (cos.f64 x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 1 (cos.f64 x))
0.0b1(cos.f64 x)
Compiler

Compiled 134 to 86 computations (35.8% saved)

regimes14.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
6
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
(/.f64 1 (+.f64 1/6 (/.f64 1 (/.f64 x (/.f64 2 x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 1 (cos.f64 x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
Outputs
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
Calls

3 calls:

7.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 1 (cos.f64 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 1 (cos.f64 x))
0.1b1(cos.f64 x)
Compiler

Compiled 105 to 69 computations (34.3% saved)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
6
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 1 (+.f64 1/6 (/.f64 (/.f64 2 x) x)))
(/.f64 1 (+.f64 1/6 (*.f64 (/.f64 2 x) (/.f64 1 x))))
(/.f64 1 (+.f64 1/6 (/.f64 1 (/.f64 x (/.f64 2 x)))))
Outputs
(*.f64 x (*.f64 1/2 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -61.0b remaining (-23197.8%)

Threshold costs -61.0b (-23197.8%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
12648
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (*.f64 x x))
6
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 (*.f64 x x) 1/2))
(*.f64 x (*.f64 1/2 x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(*.f64 (*.f64 x x) 1/2)
6
Compiler

Compiled 38 to 25 computations (34.2% saved)

soundness75.0ms (1.1%)

Algorithm
egg-herbie
Rules
632×times-frac_binary64
444×div-sub_binary64
439×associate-/l*_binary64
400×distribute-rgt-in_binary64
376×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090416
1227376
2679351
33229351
Stop Event
node limit
Compiler

Compiled 56 to 38 computations (32.1% saved)

end33.0ms (0.5%)

Compiler

Compiled 34 to 20 computations (41.2% saved)

Profiling

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