tanhf (example 3.4)

Time bar (total: 4.5s)

analyze122.0ms (2.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.4s (74.8%)

Results
1.9s2085×body2048valid
883.0ms4447×body256valid
426.0ms1105×body1024valid
99.0ms515×body512valid
82.0ms103×body4096valid
1.0ms1×body8192valid
Bogosity

preprocess167.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
924×fma-def
316×div-sub
264×times-frac
188×associate-/r*
134×sub-neg
Problems
108×No Errors
78×(-.f64 1 (cos.f64 x))
70×(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01646
13646
25242
38642
415842
529542
660942
7129342
8171242
9179342
10184842
11192942
12196942
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) 2))
(tan.f64 (*.f64 -1/2 x))
(tan.f64 (*.f64 x -1/2))
Compiler

Compiled 27 to 16 computations (40.7% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(tan.f64 (/.f64 x 2))
▶100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 10 to 8 computations (20% saved)

localize26.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite89.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1294×frac-times
400×unpow-prod-down
328×cbrt-prod
324×log-prod
314×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
17614
286714
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(tan.f64 (/.f64 x 2))
Outputs
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 5)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)) (+.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

simplify51.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
926×associate-*r*
814×associate-*l*
736×associate-+r+
732×associate-+l+
676×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471671
12911608
28271586
343521586
Stop Event
1×node limit
Counts
58 → 78
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 5)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)) (+.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
Outputs
(*.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))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(tan.f64 (*.f64 1/2 x))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(tan.f64 (*.f64 1/2 x))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (E.f64)))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 (tan.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5/2)) (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 (tan.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 8)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 5/2)) (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/4))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 5)) (pow.f64 (tan.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 5)))
(*.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 1/6) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 5/2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (neg.f64 (cos.f64 (*.f64 1/2 x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 (sin.f64 (+.f64 1 x)) (sin.f64 1)) (+.f64 (cos.f64 (+.f64 1 x)) (cos.f64 1)))
(tan.f64 (/.f64 (-.f64 (+.f64 x 1) 1) 2))
(tan.f64 (/.f64 (+.f64 x 0) 2))
(tan.f64 (/.f64 x 2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))) (cbrt.f64 (cos.f64 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (sqrt.f64 (cos.f64 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (sqrt.f64 (cos.f64 (*.f64 1/2 x))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 1/2 x))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 1/2 x)))))
(neg.f64 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(fabs.f64 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

eval22.0ms (0.5%)

Compiler

Compiled 888 to 741 computations (16.6% saved)

prune32.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh000
Picked011
Done000
Total75479
Accuracy
100.0%
Counts
79 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
▶99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
▶50.6%
(*.f64 1/2 x)
✓100.0%
(tan.f64 (/.f64 x 2))
▶99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
▶99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
▶50.6%
(*.f64 1/2 x)
✓100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 62 to 50 computations (19.4% saved)

localize164.0ms (3.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
✓99.8%
(/.f64 1 (cos.f64 (*.f64 x 1/2)))
✓99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
Compiler

Compiled 60 to 45 computations (25% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite72.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1056×unpow-prod-down
698×log-prod
612×log1p-expm1-u
612×expm1-log1p-u
426×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
116048
2175548
Stop Event
1×node limit
Counts
3 → 168
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
Outputs
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (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 (*.f64 x 1/2)) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(+.f64 0 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 2) 3) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -5/2) 1/3) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))
(pow.f64 (cos.f64 (*.f64 x 1/2)) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) -1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) -1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -2)
(pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) -1)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cos.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1) (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) 1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (sin.f64 (*.f64 x 1/2))) 1/3) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 1/3) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 2) -1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) -2) -1) (pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) -1/2) -1) (pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))

simplify85.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1424×fma-def
1020×associate-*r/
802×associate-*l/
786×distribute-lft-in
688×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03816475
18946279
229296187
Stop Event
1×node limit
Counts
204 → 209
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
1
(+.f64 1 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 5/384 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 61/46080 (pow.f64 x 6)) (+.f64 (*.f64 5/384 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (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 (*.f64 x 1/2)) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(+.f64 0 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 2) 3) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -5/2) 1/3) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)))
(pow.f64 (cos.f64 (*.f64 x 1/2)) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2) 1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) -1/2)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) -1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) 2)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) -2)
(pow.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) -1)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cos.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1) (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) 1))
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) 1) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 3) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(*.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (sin.f64 (*.f64 x 1/2))) 1/3) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 1/3) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) 2) -1) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) -2) -1) (pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) -1/2) -1) (pow.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1) (pow.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
Outputs
(*.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))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
1
(+.f64 1 (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 5/384 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 5/384 (pow.f64 x 4))))
(fma.f64 1/8 (pow.f64 x 2) (fma.f64 5/384 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 61/46080 (pow.f64 x 6)) (+.f64 (*.f64 5/384 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 61/46080 (pow.f64 x 6) (fma.f64 5/384 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 61/46080 (pow.f64 x 6) (fma.f64 1/8 (pow.f64 x 2) (*.f64 5/384 (pow.f64 x 4)))))
(fma.f64 61/46080 (pow.f64 x 6) (fma.f64 1/8 (pow.f64 x 2) (fma.f64 5/384 (pow.f64 x 4) 1)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (cos.f64 (*.f64 1/2 x)))
(*.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))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
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(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2)) (cbrt.f64 (cos.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) -1))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) (sqrt.f64 (cos.f64 (*.f64 1/2 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1) (pow.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) -1))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 1/2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(pow.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) -1)
(tan.f64 (*.f64 1/2 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (cos.f64 (*.f64 1/2 x)) 3)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1) 1))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) 3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1/3))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) -1))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(tan.f64 (*.f64 x 1/2))
(tan.f64 (*.f64 1/2 x))

eval95.0ms (2.1%)

Compiler

Compiled 3332 to 2789 computations (16.3% saved)

prune26.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2090209
Fresh000
Picked033
Done011
Total2094213
Accuracy
100.0%
Counts
213 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
✓99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
✓50.6%
(*.f64 1/2 x)
✓100.0%
(tan.f64 (/.f64 x 2))
Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes10.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
Outputs
(tan.f64 (/.f64 x 2))
Calls

2 calls:

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

Compiled 45 to 34 computations (24.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
50.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11224
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)
Outputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness117.0ms (2.6%)

Rules
924×fma-def
316×div-sub
264×times-frac
188×associate-/r*
134×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01646
13646
25242
38642
415842
529542
660942
7129342
8171242
9179342
10184842
11192942
12196942
Stop Event
1×saturated
Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess48.0ms (1.1%)

Compiler

Compiled 42 to 32 computations (23.8% saved)

Profiling

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