ENA, Section 1.4, Mentioned, A

Details

Time bar (total: 8.4s)

analyze0.0ms (0%)

Algorithm
1×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)

sample3.9s (46.2%)

Results
2.8s4422×body2048valid
753.0ms2037×body1024valid
183.0ms1004×body512valid
92.0ms793×body256valid
Bogosity

preprocess14.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
16×sub-neg
12×fma-def
8×+-commutative
6×associate--r+
6×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
42911
53911
65011
76211
86511
011
Stop Event
1×saturated
1×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)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×sub-neg
12×fma-def
8×+-commutative
6×associate--r+
6×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
42911
53911
65011
76211
86511
Stop Event
1×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
Accurracy
54.4%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.4%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize122.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓54.4%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1386×pow1
1278×add-exp-log
1278×log1p-expm1-u
1278×expm1-log1p-u
1252×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2169111
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
Outputs
(+.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) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.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) (pow.f64 (cos.f64 x) 2))))
(/.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) (pow.f64 (cos.f64 x) 2)))))
(/.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(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))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

simplify52.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1070×associate-/l*
998×div-sub
824×distribute-lft-in
782×distribute-rgt-in
724×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093800
1231740
2679670
33306670
Stop Event
1×node limit
Counts
32 → 44
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) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.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) (pow.f64 (cos.f64 x) 2))))
(/.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) (pow.f64 (cos.f64 x) 2)))))
(/.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(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))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.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))))
(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 1/720 (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 -1/24 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.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) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (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 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (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 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.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) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (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 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.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) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (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 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (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 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.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))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval9.0ms (0.1%)

Compiler

Compiled 491 to 309 computations (37.1% saved)

prune14.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New40444
Fresh000
Picked011
Done000
Total40545
Accurracy
100.0%
Counts
45 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
▶100.0%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓54.4%
(-.f64 1 (cos.f64 x))
▶100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶99.2%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize18.0ms (0.2%)

Compiler

Compiled 12 to 6 computations (50% saved)

localize52.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (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)))
0.0ms
x
@0
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1766×pow1
1626×add-exp-log
1626×log1p-expm1-u
1626×expm1-log1p-u
1590×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118721
2221321
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(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 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(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)))))
(exp.f64 (log.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)))))

simplify57.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1178×log-prod
1122×fma-def
760×distribute-rgt-out
676×distribute-rgt-in
662×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071935
1160857
2437779
32079779
45873779
Stop Event
1×node limit
Counts
27 → 33
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 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(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 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(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)))))
(exp.f64 (log.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)))))
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))))
(+.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 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (*.f64 1/720 (pow.f64 x 6)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (+.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 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 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))))
(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 (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 (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 (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 (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)))
(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)))
(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)))
(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)))

localize54.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (cos.f64 x))
✓100.0%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓100.0%
(*.f64 (sin.f64 x) (sin.f64 x))
Compiler

Compiled 27 to 11 computations (59.3% saved)

series4.0ms (0.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
1.0ms
x
@inf
(*.f64 (sin.f64 x) (sin.f64 x))
1.0ms
x
@inf
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
0.0ms
x
@0
(*.f64 (sin.f64 x) (sin.f64 x))
0.0ms
x
@-inf
(*.f64 (sin.f64 x) (sin.f64 x))

rewrite78.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1002×log-prod
764×prod-diff
606×pow-prod-down
488×pow-prod-up
462×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01049
121733
2307333
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(+.f64 1 (cos.f64 x))
Outputs
(+.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 1/2 (cos.f64 (+.f64 x x)))))
(+.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 1/2 (cos.f64 (+.f64 x x))))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(/.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 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(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 (sqrt.f64 (sin.f64 x)) 4)
(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)))
(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 (log.f64 (sin.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.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 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (*.f64 (pow.f64 (cbrt.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 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (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 (tan.f64 (/.f64 x 2)) (sin.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 (cbrt.f64 (+.f64 1 (cos.f64 x))) -2) (/.f64 (pow.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.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)) (cbrt.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 (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))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(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))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.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 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.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 (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 (cbrt.f64 (+.f64 1 (cos.f64 x))) 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 (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)
(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))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(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 (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 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (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 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) (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 (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 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (cbrt.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 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.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 (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 (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)))))

simplify80.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1056×unswap-sqr
878×distribute-lft-in
818×distribute-rgt-in
478×cancel-sign-sub-inv
406×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03854625
18684415
229713979
Stop Event
1×node limit
Counts
179 → 233
Calls
Call 1
Inputs
(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)
(*.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))
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 (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 1/2 (cos.f64 (+.f64 x x)))))
(+.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 1/2 (cos.f64 (+.f64 x x))))
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(/.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 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(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 (sqrt.f64 (sin.f64 x)) 4)
(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)))
(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 (log.f64 (sin.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.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 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (*.f64 (pow.f64 (cbrt.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 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (neg.f64 (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 (tan.f64 (/.f64 x 2)) (sin.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 (cbrt.f64 (+.f64 1 (cos.f64 x))) -2) (/.f64 (pow.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.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)) (cbrt.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 (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))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(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))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.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 (pow.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.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 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.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 (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 (cbrt.f64 (+.f64 1 (cos.f64 x))) 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 (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)
(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))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 x))))
(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 (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 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (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 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) (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 (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 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (cbrt.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 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.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 (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 (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
(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 x x (*.f64 -1/3 (pow.f64 x 4)))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
(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)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/2)
(*.f64 x (*.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 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 x (*.f64 x 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 (pow.f64 x 6) 1/720)))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720)))
(+.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 (pow.f64 x 8) -1/40320))))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (*.f64 (pow.f64 x 8) -1/40320))))
(/.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)))
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 (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 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(+.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(*.f64 3 (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 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (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)
(pow.f64 (sin.f64 x) 2)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 (+.f64 x x)))) -2)
(/.f64 (+.f64 -1 (cos.f64 (+.f64 x x))) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) -1) -2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2) (*.f64 1/4 (cos.f64 (+.f64 x x))))))
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 (+.f64 x x)) 3))) (+.f64 1/4 (fma.f64 1/4 (cos.f64 (+.f64 x x)) (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 (+.f64 x x)) 3) -1/8)) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) (+.f64 1/4 (*.f64 (cos.f64 (+.f64 x x)) 1/4)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 x) 4)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 4))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 2)) (pow.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 6)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 3) 2/3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 4) 1/2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 6) 1/3)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sqrt.f64 (sin.f64 x)) 4)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 (+.f64 x x)))) -1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (sin.f64 x) 6))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 2))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 2) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(pow.f64 (sin.f64 x) 2)
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(-.f64 (/.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) (sin.f64 x)) (/.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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (*.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.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 (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 (neg.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 (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 (neg.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 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (/.f64 (cbrt.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 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.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)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 3) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (neg.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 (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 (neg.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 (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 (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 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 (*.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 (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 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x)))) 2 (/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))))
(-.f64 (*.f64 2 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 (+.f64 x x))))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))))

localize113.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
✓99.9%
(*.f64 -1/24 (pow.f64 x 4))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1828×pow1
1694×add-exp-log
1694×log1p-expm1-u
1694×expm1-log1p-u
1656×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
122540
2239640
Stop Event
1×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
(-.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(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))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(log1p.f64 (expm1.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 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(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)))))
(exp.f64 (log.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)))))

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
902×fma-neg
890×fma-def
758×cancel-sign-sub-inv
742×log-prod
736×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0861152
12191106
210021086
342771078
Stop Event
1×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 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (pow.f64 x 4)) 3) 1/3)
(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))))
(exp.f64 (log.f64 (*.f64 -1/24 (pow.f64 x 4))))
(log1p.f64 (expm1.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 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(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)))))
(exp.f64 (log.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)))))
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 1/2 (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 -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 -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 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 -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 -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 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 -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 (*.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 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) 3)
(*.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 (*.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))
(exp.f64 (log.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))
(+.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 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 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 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 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 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 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 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 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 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 (*.f64 x 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 (pow.f64 x 4) 1/24 (*.f64 1/2 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 8) -1/576 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 4) 1/24 (*.f64 1/2 (*.f64 x x))))
(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 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 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 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 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 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 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 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 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 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 1/2 (*.f64 x x)))

eval96.0ms (1.1%)

Compiler

Compiled 5014 to 2980 computations (40.6% saved)

prune78.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3085313
Fresh000
Picked101
Done134
Total3108318
Accurracy
100.0%
Counts
318 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
▶100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓54.4%
(-.f64 1 (cos.f64 x))
▶99.9%
(+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
▶100.0%
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
▶99.9%
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓99.2%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 139 to 102 computations (26.6% saved)

localize105.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sin.f64 (*.f64 1/2 x))
✓100.0%
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
✓100.0%
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series4.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite112.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1126×log-prod
714×prod-exp
678×pow-prod-down
538×pow-prod-up
470×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01169
122369
2277959
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(sin.f64 (*.f64 1/2 x))
Outputs
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))

simplify75.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1104×unswap-sqr
1004×associate-*r/
836×distribute-lft-in
772×distribute-rgt-in
434×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03213541
17143383
224443383
Stop Event
1×node limit
Counts
131 → 169
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)))
x
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/1920 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/322560 (pow.f64 x 7)) (+.f64 (*.f64 1/1920 (pow.f64 x 5)) x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(+.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (sin.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 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 (*.f64 (sin.f64 x) (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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
x
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) x)
(fma.f64 -1/24 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/1920 (pow.f64 x 5)) x))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/1920 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/322560 (pow.f64 x 7)) (+.f64 (*.f64 1/1920 (pow.f64 x 5)) x)))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/322560 (pow.f64 x 7) (fma.f64 1/1920 (pow.f64 x 5) x)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/48 (pow.f64 x 3) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) -1/48))
(fma.f64 (pow.f64 x 3) -1/48 (*.f64 1/2 x))
(+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5))))
(fma.f64 -1/48 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 5) 1/3840)))
(fma.f64 (pow.f64 x 3) -1/48 (fma.f64 1/2 x (*.f64 (pow.f64 x 5) 1/3840)))
(+.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(fma.f64 -1/645120 (pow.f64 x 7) (fma.f64 -1/48 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 5) 1/3840))))
(fma.f64 (pow.f64 x 7) -1/645120 (fma.f64 (pow.f64 x 3) -1/48 (fma.f64 1/2 x (*.f64 (pow.f64 x 5) 1/3840))))
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.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 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 2) 1/2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))) 1) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 1/3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))))) 2))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 1)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 1)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) -2) (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 x)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))) (sqrt.f64 (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (cos.f64 (*.f64 1/2 x))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 x))))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 1)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 3)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 2) 1/2)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 2)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) -1)
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 2))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) 3))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) 1) 1))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 3))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 1/3))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))))) 2))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 x))) -1))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x)))
(+.f64 0 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(sin.f64 (*.f64 1/2 x))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x)))) (sin.f64 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1/2)
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sin.f64 (*.f64 1/2 x))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(sqrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(sin.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 1))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) 3))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1/3))
(sin.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 2))
(sin.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 1/2 x))

localize36.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
✓99.6%
(*.f64 x -1/24)
Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1838×pow1
1698×add-exp-log
1698×log1p-expm1-u
1698×expm1-log1p-u
1662×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
120334
2233534
Stop Event
1×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
(-.f64 (+.f64 1 (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(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)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.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 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (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))))
(exp.f64 (log.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))))

simplify74.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1878×fma-def
1502×log-prod
816×associate-+r+
744×associate-+l+
720×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078848
1199848
2755848
33107848
47009848
Stop Event
1×node limit
Counts
50 → 36
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 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(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)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.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 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (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))))
(exp.f64 (log.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))))
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 (*.f64 1/2 x) x)
(*.f64 x (*.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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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 (cbrt.f64 (*.f64 x -1/24)) 3)
(*.f64 -1/24 x)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(*.f64 -1/24 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(*.f64 -1/24 x)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(*.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)
(exp.f64 (log.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(+.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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(+.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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 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))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))

localize46.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
99.9%
(*.f64 -1/24 (pow.f64 x 4))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1052×log-prod
772×fma-def
734×prod-exp
664×pow-prod-down
492×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
124127
2296827
Stop Event
1×node limit
Counts
1 → 70
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/576) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(*.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 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6))) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6))) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6)))) (neg.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576))) (neg.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x))))
(pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576))) -1)
(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)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.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))
(expm1.f64 (log1p.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)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(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 x (*.f64 1/2 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (*.f64 (cbrt.f64 x) x) -1/24) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/24) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 8))) (*.f64 (cbrt.f64 x) x) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 x x) (*.f64 1/2 (*.f64 x x)))

simplify79.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
930×cancel-sign-sub-inv
796×distribute-lft-neg-in
792×fma-def
692×distribute-rgt-neg-in
610×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01893052
14592960
212222860
343822860
Stop Event
1×node limit
Counts
82 → 90
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 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/576) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(*.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 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6))) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576)) (/.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6))) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 1/576 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6)))) (neg.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576))) (neg.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/576) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x))))
(pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1/13824 (*.f64 1/8 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/576))) -1)
(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)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))) (pow.f64 (exp.f64 -1/24) (pow.f64 x 4))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/24) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.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))
(expm1.f64 (log1p.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)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 2))
(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 x (*.f64 1/2 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (*.f64 (cbrt.f64 x) x) -1/24) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/24) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (*.f64 1/2 x)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 8))) (*.f64 (cbrt.f64 x) x) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 x x) (*.f64 1/2 (*.f64 x 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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(-.f64 (exp.f64 (log1p.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/576) (fma.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)))
(*.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
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(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(exp.f64 (*.f64 (log.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))) 1/3))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(exp.f64 (*.f64 (log.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 x (*.f64 1/2 x) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (pow.f64 x 4) -1/24 (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 -1/24 (pow.f64 x 4)) 1 (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1 (*.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 1 (*.f64 -1/24 (pow.f64 x 4)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (*.f64 (cbrt.f64 x) x) -1/24) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 -1/24 (*.f64 x (cbrt.f64 x))) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 x) (*.f64 x -1/24)) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 x) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 8))))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 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 -1/24 (pow.f64 x 4) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.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 -1/24 (pow.f64 x 4) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(fma.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 (cbrt.f64 (*.f64 -1/24 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 1/576))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 1/2 x)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 x x) 1/2 (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -1/24) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) (*.f64 (*.f64 x x) (sqrt.f64 -1/24)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 1/2 x)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 x)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (*.f64 1/2 x)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 8))) (*.f64 (cbrt.f64 x) x) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 -1/24 (*.f64 x (cbrt.f64 x))) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (cbrt.f64 x) (*.f64 x -1/24)) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 x) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 8))))))
(fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.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 x -1/24) 1/2))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))

localize66.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (cos.f64 x) 1)
✓100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓100.0%
(pow.f64 (sin.f64 x) 2)
Compiler

Compiled 26 to 15 computations (42.3% saved)

series1.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
0.0ms
x
@0
(pow.f64 (sin.f64 x) 2)
0.0ms
x
@inf
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
0.0ms
x
@-inf
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
0.0ms
x
@0
(+.f64 (cos.f64 x) 1)

rewrite76.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
966×log-prod
594×prod-exp
550×pow-prod-down
492×pow-prod-up
446×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01149
122949
2280733
Stop Event
1×node limit
Counts
3 → 127
Calls
Call 1
Inputs
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(+.f64 (cos.f64 x) 1)
Outputs
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.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 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 3/2))
(*.f64 (pow.f64 (sin.f64 x) 3/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(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)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.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 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.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))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) -2) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (+.f64 (cos.f64 x) 1) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(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 (cos.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (log1p.f64 (cos.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (cos.f64 x))) (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (log1p.f64 (cos.f64 x)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (log1p.f64 (cos.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (log1p.f64 (cos.f64 x)) 1)))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(fma.f64 (cos.f64 x) 1 1)
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 1) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 1) 1)

simplify71.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1844×fma-def
1128×distribute-lft-in
1076×distribute-rgt-in
752×unswap-sqr
492×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03323321
17483145
225113007
Stop Event
1×node limit
Counts
147 → 197
Calls
Call 1
Inputs
(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))))
(*.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)))
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 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.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 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 3/2))
(*.f64 (pow.f64 (sin.f64 x) 3/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (cbrt.f64 (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(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)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.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 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.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))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.f64 (cos.f64 x) 1))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) -2) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (pow.f64 (+.f64 (cos.f64 x) 1) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(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 (cos.f64 x) 1) 3)))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (log1p.f64 (cos.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (cos.f64 x))) (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1)))
(exp.f64 (-.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (log1p.f64 (cos.f64 x)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (log1p.f64 (cos.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (log1p.f64 (cos.f64 x)) 1)))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (cos.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (cos.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(fma.f64 (cos.f64 x) 1 1)
(fma.f64 1 (cos.f64 x) 1)
(fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 1) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 1) 1)
Outputs
(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 x x (*.f64 -1/3 (pow.f64 x 4)))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 -1/3 (pow.f64 x 4) (*.f64 2/45 (pow.f64 x 6))))
(+.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 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 x x (*.f64 2/45 (pow.f64 x 6)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 x x (fma.f64 2/45 (pow.f64 x 6) (*.f64 -1/315 (pow.f64 x 8)))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/2)
(*.f64 x (*.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 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (pow.f64 x 4) -1/24 (*.f64 x (*.f64 x 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 (pow.f64 x 6) 1/720)))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 (pow.f64 x 6) 1/720)))
(fma.f64 (pow.f64 x 4) -1/24 (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 6) 1/720)))
(+.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 (pow.f64 x 8) -1/40320))))
(fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (*.f64 (pow.f64 x 8) -1/40320))))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/24 (fma.f64 (pow.f64 x 6) 1/720 (*.f64 (pow.f64 x 8) -1/40320))))
(/.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)))
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)
(fma.f64 x (*.f64 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)))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 x (*.f64 x -1/2) 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 2 (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2)))))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.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 3 (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 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))))
(-.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2))) 1)
(pow.f64 (sin.f64 x) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 x x))))
(fma.f64 -1/2 (cos.f64 (+.f64 x x)) 1/2)
(*.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 3/2))
(*.f64 (pow.f64 (sin.f64 x) 3/2) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 5) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))) 2)
(-.f64 1/2 (/.f64 (cos.f64 (+.f64 x x)) 2))
(sqrt.f64 (pow.f64 (sin.f64 x) 4))
(pow.f64 (sin.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(cbrt.f64 (pow.f64 (sin.f64 x) 6))
(pow.f64 (sin.f64 x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 2))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) 1))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 6)) 1/3))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (sin.f64 x)) 1)))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) 2)
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(pow.f64 (sin.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.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 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 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 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.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 1 (+.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 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))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (+.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) 1)) (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 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.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 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) -2) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(*.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 (pow.f64 (+.f64 (cos.f64 x) 1) -1/2) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(*.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) 1) (/.f64 (pow.f64 (cbrt.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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (sqrt.f64 (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (+.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 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.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 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 (cos.f64 x) -1))
(-.f64 1 (cos.f64 x))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 (cos.f64 x) 1) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(pow.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) 1) -1)
(-.f64 1 (cos.f64 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.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))
(log.f64 (+.f64 1 (expm1.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))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (+.f64 (cos.f64 x) 1) 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))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) -1))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (log1p.f64 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (cos.f64 x))) (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (log1p.f64 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (log1p.f64 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (log1p.f64 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (exp.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(+.f64 1 (cos.f64 x))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(+.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) -1)))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.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 1 (cos.f64 x)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.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 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.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 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) -1))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.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 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.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 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(+.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) 1/2)
(+.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(+.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(+.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (pow.f64 (sin.f64 x) 2))) -1)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.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)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(+.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(+.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (cos.f64 x)) 1) 1))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (cos.f64 x))) 3))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (cos.f64 x))) 1/3))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (cos.f64 x))) 2))
(exp.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(fma.f64 (cos.f64 x) 1 1)
(+.f64 1 (cos.f64 x))
(fma.f64 1 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 1) 1)
(fma.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 1) 1)
(+.f64 1 (cos.f64 x))

localize91.0ms (1.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (cos.f64 x))
✓100.0%
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
✓99.9%
(*.f64 -1/3 (pow.f64 x 4))
Compiler

Compiled 41 to 27 computations (34.1% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
1.0ms
x
@inf
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
0.0ms
x
@inf
(*.f64 -1/3 (pow.f64 x 4))
0.0ms
x
@0
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
0.0ms
x
@0
(*.f64 -1/3 (pow.f64 x 4))

rewrite79.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1240×log-prod
728×pow-prod-down
648×prod-diff
626×pow-prod-up
580×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
129150
2351250
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 4))
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
Outputs
(+.f64 0 (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/9) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 4)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/3 (pow.f64 x 4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 0 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))) 1)
(*.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) 1) (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) 1) -1)
(neg.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))

simplify100.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
992×fma-def
838×distribute-lft-in
818×distribute-rgt-in
678×unswap-sqr
532×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02123426
14833296
214662642
364292642
Stop Event
1×node limit
Counts
78 → 105
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 -1/48 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/48 (pow.f64 x 6)) (*.f64 -23/5760 (pow.f64 x 8)))))
(*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x 2) (+.f64 1 (cos.f64 x))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x 2) (+.f64 1 (cos.f64 x))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x 2) (+.f64 1 (cos.f64 x))))
(*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) 1)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) 1)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) 1)))
(+.f64 0 (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/9) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 4)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -1/3 (pow.f64 x 4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 0 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))) 1)
(*.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 1 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (*.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (/.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) 1) (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 -1/3))) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))) 2)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) 1) -1)
(neg.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.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 -1/48 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 -1/48 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/48 (pow.f64 x 6)) (*.f64 -23/5760 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/48 (pow.f64 x 6) (*.f64 -23/5760 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -23/5760 (pow.f64 x 8) (*.f64 -1/48 (pow.f64 x 6)))))
(*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x 2) (+.f64 1 (cos.f64 x))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x 2) (+.f64 1 (cos.f64 x))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 x 2) (+.f64 1 (cos.f64 x))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1)))
(*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) 1)))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) 1)))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 (cos.f64 x) 1))) (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) 1)))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(+.f64 0 (*.f64 -1/3 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) -1/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) -1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 4)))) 1)
(*.f64 (pow.f64 x 4) -1/3)
(pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 1)
(*.f64 (pow.f64 x 4) -1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 4))) 3)
(*.f64 (pow.f64 x 4) -1/3)
(pow.f64 (*.f64 (pow.f64 x 8) 1/9) 1/2)
(*.f64 (pow.f64 x 4) -1/3)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 3) 1/3)
(*.f64 (pow.f64 x 4) -1/3)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -1/3)) 2)
(*.f64 (pow.f64 x 4) -1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/9))
(*.f64 (pow.f64 x 4) -1/3)
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) -1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) -1/3)
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 4)) 3))
(*.f64 (pow.f64 x 4) -1/3)
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/3)
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/3)
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(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))) 1))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))) 1) 1))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 3))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 1/3))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x)))) 2))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 x)) (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)))) -1))
(exp.f64 (-.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))) (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/3 (*.f64 x x)) (exp.f64 (log1p.f64 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (exp.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x)) (+.f64 1 (cos.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 4) (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)) (+.f64 1 (cos.f64 x)))

eval333.0ms (4%)

Compiler

Compiled 11906 to 7956 computations (33.2% saved)

prune129.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New6934697
Fresh000
Picked101
Done437
Total6987705
Accurracy
100.0%
Counts
705 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))
✓100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
▶99.9%
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
▶100.0%
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶99.9%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
✓99.2%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 75 to 52 computations (30.7% saved)

localize81.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
✓100.0%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
99.6%
(*.f64 x -1/24)
Compiler

Compiled 32 to 21 computations (34.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1866×pow1
1720×add-exp-log
1720×log1p-expm1-u
1720×expm1-log1p-u
1684×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
120248
2233248
Stop Event
1×node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
Outputs
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 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 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))

simplify74.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1710×log-prod
934×fma-neg
840×unswap-sqr
758×associate-*r/
634×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0891224
12051224
27751224
338671224
474701224
Stop Event
1×node limit
Counts
54 → 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 -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 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -1/24))) (*.f64 (*.f64 x x) 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) (*.f64 x 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 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 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 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)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 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 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (+.f64 1 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3) (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (log.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 x (*.f64 x (*.f64 x -1/24))) (*.f64 x 1/2))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 1)
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 1)
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 3)
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3) 1/3)
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))) 2)
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 2))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/24) 1/2)))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2)) 3))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3)))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) 3) (pow.f64 x 3)))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(*.f64 x (fma.f64 (*.f64 x x) -1/24 1/2))
(*.f64 x (fma.f64 x (*.f64 x -1/24) 1/2))
(*.f64 x (fma.f64 -1/24 (*.f64 x x) 1/2))

localize71.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sin.f64 (*.f64 1/2 x))
✓100.0%
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
✓99.8%
(*.f64 -1/24 (pow.f64 x 3))
Compiler

Compiled 40 to 30 computations (25% saved)

series15.0ms (0.2%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
0.0ms
x
@0
(*.f64 -1/24 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
0.0ms
x
@0
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
0.0ms
x
@inf
(*.f64 -1/24 (pow.f64 x 3))

rewrite69.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1890×prod-diff
1196×log-prod
600×fma-def
534×pow-exp
472×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
127844
2330544
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 3))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
Outputs
(+.f64 0 (*.f64 -1/24 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/24)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/24))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/24))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 3))))
(+.f64 0 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) x) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 x 1/2)) x))
(+.f64 (*.f64 x (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))))
(+.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3))) (fma.f64 x (-.f64 x (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x))) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))) (fma.f64 x (-.f64 x (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (sin.f64 (*.f64 x 1/2))) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)))
(pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 3) x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (fma.f64 -1/24 (pow.f64 x 3) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(fma.f64 x (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2)) (*.f64 x (sin.f64 (*.f64 x 1/2))))
(fma.f64 (sin.f64 (*.f64 x 1/2)) x (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))))
(fma.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3)) (*.f64 (sin.f64 (*.f64 x 1/2)) x))

simplify86.0ms (1%)

Algorithm
1×egg-herbie
Rules
1054×fma-neg
886×fma-def
662×distribute-rgt-in
660×distribute-lft-in
440×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01752063
13832005
210971907
343731907
475561907
Stop Event
1×node limit
Counts
67 → 88
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 13/11520 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 13/11520 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3)))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3)))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/24 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/24)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/24))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/24))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 3))))
(+.f64 0 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) x) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 x 1/2)) x))
(+.f64 (*.f64 x (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))))
(+.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3))) (fma.f64 x (-.f64 x (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x))) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))) (fma.f64 x (-.f64 x (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (sin.f64 (*.f64 x 1/2))) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)))
(pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 3) x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (fma.f64 -1/24 (pow.f64 x 3) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(fma.f64 x (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))))
(fma.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2)) (*.f64 x (sin.f64 (*.f64 x 1/2))))
(fma.f64 (sin.f64 (*.f64 x 1/2)) x (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))))
(fma.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3)) (*.f64 (sin.f64 (*.f64 x 1/2)) 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 13/11520 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 13/11520 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 13/11520 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 13/11520 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 13/11520 (pow.f64 x 6))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 13/11520 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 13/11520 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 13/11520 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))))
(fma.f64 13/11520 (pow.f64 x 6) (fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 13/11520 (pow.f64 x 6)))))
(*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3)))
(*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 1/2 x)))
(*.f64 -1/24 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3)))
(*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 1/2 x)))
(*.f64 -1/24 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 0 (*.f64 -1/24 (pow.f64 x 3)))
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))))
(*.f64 -1/24 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 3)))) 1)
(*.f64 -1/24 (pow.f64 x 3))
(pow.f64 (*.f64 -1/24 (pow.f64 x 3)) 1)
(*.f64 -1/24 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/24)) 3)
(*.f64 -1/24 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824) 1/3)
(*.f64 -1/24 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/24))
(*.f64 -1/24 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (pow.f64 x 3)))))
(*.f64 -1/24 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824))
(*.f64 -1/24 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (pow.f64 x 3))))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 1))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 1) 1))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -1/24))) 3))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 3 (log.f64 x) (log.f64 -1/24))) 1/3))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/24)) 3) 1/3))
(*.f64 -1/24 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/24))) 2))
(*.f64 -1/24 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (pow.f64 x 3))))
(*.f64 -1/24 (pow.f64 x 3))
(+.f64 0 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) x) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 x (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (sin.f64 (*.f64 x 1/2))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 1/2 x)))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3))) (fma.f64 x (-.f64 x (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (fma.f64 x (+.f64 x (*.f64 1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (pow.f64 x 8)) -1/13824 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 6) 1/576))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (fma.f64 x (fma.f64 (pow.f64 x 3) 1/24 x) (*.f64 (pow.f64 x 6) 1/576)) (fma.f64 (pow.f64 x 9) -1/13824 (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/13824 (pow.f64 x 3)) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/24 x) (*.f64 (pow.f64 x 6) 1/576))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x))) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (/.f64 (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))) (fma.f64 x (-.f64 x (*.f64 -1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (fma.f64 x (+.f64 x (*.f64 1/24 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/576)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/13824 (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (pow.f64 x 8)) -1/13824 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 6) 1/576))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (fma.f64 x (fma.f64 (pow.f64 x 3) 1/24 x) (*.f64 (pow.f64 x 6) 1/576)) (fma.f64 (pow.f64 x 9) -1/13824 (pow.f64 x 3))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/13824 (pow.f64 x 3)) (/.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 x (fma.f64 (pow.f64 x 3) 1/24 x) (*.f64 (pow.f64 x 6) 1/576))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (sin.f64 (*.f64 x 1/2))) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)) (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (/.f64 (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/576) (*.f64 x x)) (fma.f64 -1/24 (pow.f64 x 3) (neg.f64 x))))
(pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 3)
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 2)
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/24 (pow.f64 x 3) x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/24 (pow.f64 x 3) x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (fma.f64 -1/24 (pow.f64 x 3) x) 3)))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 3))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 1/3))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2))))) 2))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(fma.f64 x (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(fma.f64 (*.f64 -1/24 (pow.f64 x 3)) (sin.f64 (*.f64 x 1/2)) (*.f64 x (sin.f64 (*.f64 x 1/2))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(fma.f64 (sin.f64 (*.f64 x 1/2)) x (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3))))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))
(fma.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 -1/24 (pow.f64 x 3)) (*.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 (fma.f64 -1/24 (pow.f64 x 3) x) (sin.f64 (*.f64 1/2 x)))

localize49.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
✓99.9%
(*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x))
✓99.8%
(*.f64 x (*.f64 x -1/24))
99.6%
(*.f64 x -1/24)
Compiler

Compiled 45 to 23 computations (48.9% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1276×log-prod
1200×fma-def
886×pow-prod-down
532×pow-prod-up
508×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01169
124353
2327353
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(*.f64 x (*.f64 x -1/24))
(*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
Outputs
(+.f64 0 (*.f64 -1/24 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(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 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24))))) (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 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 2)
(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)))
(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 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(-.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) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))))
(*.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 (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 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/24) 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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))))
(*.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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x))) (-.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 (pow.f64 x 4) -1/24) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x))))
(/.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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))))
(/.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 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 3)
(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 (*.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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x))) (-.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 (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))) (pow.f64 (exp.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 (pow.f64 (exp.f64 x) (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(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 (+.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)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 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 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x -1/24) (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (pow.f64 x 4) -1/24) 1 (*.f64 x (*.f64 x 1/2)))
(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 (*.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 (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 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 (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 (*.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 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 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 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) (*.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 -1/24 (pow.f64 x 3)) x (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x 1/2) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.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 -1/24 (*.f64 x x))) (*.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)))
(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))

simplify114.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1430×log-prod
850×distribute-lft-in
832×distribute-rgt-in
614×unswap-sqr
432×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03004649
17374549
221944331
378934331
Stop Event
1×node limit
Counts
165 → 159
Calls
Call 1
Inputs
(*.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 -1/24 (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 1/2 (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 -1/24 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(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 (*.f64 x (sqrt.f64 -1/24)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x 4) -1/24))))) (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 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) 2)
(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)))
(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 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 x -1/24)) x)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -1/24)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))
(-.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) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))))
(*.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 (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 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -1/24) 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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))))
(*.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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x))) (-.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 (pow.f64 x 4) -1/24) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -1/24) 2) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x))))
(/.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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x)))))
(/.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 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 3)
(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 (*.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 (fma.f64 (pow.f64 x 4) -1/24 (*.f64 -1/2 (*.f64 x x))) (-.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 (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))) (pow.f64 (exp.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 (pow.f64 (exp.f64 x) (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -1/24)))))
(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 (+.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)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/24 (pow.f64 x 3) (*.f64 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 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 x -1/24) (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) (*.f64 -1/24 (*.f64 x x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (pow.f64 x 4) -1/24) 1 (*.f64 x (*.f64 x 1/2)))
(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 (*.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 (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 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 (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 (*.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 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 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 (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) (sqrt.f64 (*.f64 (pow.f64 x 4) -1/24)) (*.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 -1/24 (pow.f64 x 3)) x (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x 1/2) x (*.f64 (pow.f64 x 4) -1/24))
(fma.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.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 -1/24 (*.f64 x x))) (*.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)))
(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))
Outputs
(*.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 -1/24 (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 1/2 (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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(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 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 0 (*.f64 -1/24 (*.f64 x x)))
(*.f64 -1/24 (*.f64 x x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/24))))
(*.f64 -1/24 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(*.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 (*.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 (pow.f64 (exp.f64 x) x) -1/24))
(*.f64 -1/24 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))
(*.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 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1) 1))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) 3))
(*.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 (*.f64 x (sqrt.f64 -1/24))) 2))
(*.f64 -1/24 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(+.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(*.f64 -1/24 (pow.f64 x 4))
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(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576))) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 -1/24 (*.f64 x x)))) (*.f64 x (*.f64 x 1/2)))
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x 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)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x 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)))
(fma.f64 x (*.f64 x 1/2) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))

localize46.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 -1/24 (pow.f64 x 4))
Compiler

Compiled 27 to 20 computations (25.9% saved)

eval136.0ms (1.6%)

Compiler

Compiled 6211 to 4441 computations (28.5% saved)

prune54.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3721373
Fresh000
Picked011
Done246
Total3746380
Accurracy
100.0%
Counts
380 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (*.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))
✓100.0%
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
✓100.0%
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
100.0%
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
✓99.2%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 214 to 138 computations (35.5% saved)

regimes16.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 1 (cos.f64 x))
(*.f64 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 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (fma.f64 x x (*.f64 -1/3 (pow.f64 x 4))) (+.f64 1 (cos.f64 x)))
Outputs
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
Calls

3 calls:

7.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 1 (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 1 (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 162 to 100 computations (38.3% saved)

regimes19.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 1 (cos.f64 x))
(*.f64 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 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 (*.f64 1/2 x) x (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Calls

3 calls:

10.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 1 (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 1 (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 137 to 84 computations (38.7% saved)

regimes10.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(-.f64 1 (cos.f64 x))
(*.f64 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 (*.f64 1/2 x) x) (*.f64 -1/24 (pow.f64 x 4)))
Outputs
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
Calls

3 calls:

4.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 1 (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 1 (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 79 to 48 computations (39.2% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023108
132108
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
(*.f64 1/2 (*.f64 x x))
Outputs
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -1/24)) x) (*.f64 1/2 x)))
(*.f64 x (+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x (*.f64 x -1/24)))))
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 41 to 29 computations (29.3% saved)

soundness749.0ms (8.9%)

Rules
1866×pow1
1828×pow1
1720×add-exp-log
1720×log1p-expm1-u
1720×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2169111
093800
1231740
2679670
33306670
071935
1160857
2437779
32079779
45873779
093800
1231740
2679670
33306670
093800
1231740
2679670
33306670
01140
122540
2239640
01893052
14592960
212222860
343822860
01048
120248
2233248
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 522 to 329 computations (37% saved)

end55.0ms (0.7%)

Compiler

Compiled 108 to 72 computations (33.3% saved)

Profiling

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