tanhf (example 3.4)

Time bar (total: 3.4s)

start0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze142.0ms (4.1%)

Memory
3.6MiB live, 136.8MiB allocated; 163ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
0.0%0.0%100.0%0.0%0.0%0.0%0.0%2
25.0%25.0%75.0%0.0%0.0%0.0%0.0%3
37.5%37.5%62.5%0.0%0.0%0.0%0.0%4
43.8%43.7%56.2%0.0%0.0%0.0%0.0%5
46.9%46.9%53.1%0.0%0.0%0.0%0.0%6
48.4%48.4%51.5%0.0%0.0%0.0%0.0%7
49.2%49.2%50.8%0.0%0.0%0.0%0.0%8
49.6%49.6%50.4%0.0%0.0%0.0%0.0%9
49.8%49.8%50.2%0.0%0.0%0.0%0.0%10
49.9%49.9%50.1%0.0%0.0%0.0%0.0%11
50.0%49.9%50.0%0.0%0.0%0.0%0.0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.0s (58.9%)

Memory
29.9MiB live, 2 005.9MiB allocated; 906ms collecting garbage
Samples
595.0ms2 269×2valid
516.0ms696×3valid
512.0ms4 166×0valid
128.0ms1 121×1valid
5.0ms4×4valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-cos: 1.1s (70.3% of total)
ival-sin: 187.0ms (12.0% of total)
adjust: 140.0ms (9.0% of total)
ival-div!: 89.0ms (5.7% of total)
ival-sub!: 46.0ms (2.9% of total)
Bogosity

preprocess38.0ms (1.1%)

Memory
-19.6MiB live, 26.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01213
15512
224512
3149312
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.3%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099299
Stop Event
1×iter-limit
Counts
6 → 20
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(cos.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
#s(approx x x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
0
1.0ms
x
-inf

rewrite196.0ms (5.7%)

Memory
17.5MiB live, 255.1MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01014
15314
223614
3128414
0567714
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
6 → 151
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(cos.f64 x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
#s(literal 1 binary64)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (cos.f64 x)))
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (PI.f64)))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x))))
(cos.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (sin.f64 x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 (*.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (fma.f64 (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x))))))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x)))
(tan.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (tan.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)))

eval17.0ms (0.5%)

Memory
3.8MiB live, 48.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 519 to 612 computations (75.7% saved)

prune9.0ms (0.3%)

Memory
-38.1MiB live, 16.6MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1624166
Fresh000
Picked101
Done-110
Total1625167
Accuracy
100.0%
Counts
167 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
▶100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶48.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
▶49.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 48 to 40 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1/24
2
1
Outputs
#s(literal 1/2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series12.0ms (0.3%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119410
Stop Event
1×iter-limit
Counts
17 → 28
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/24 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
Outputs
#s(approx x x)
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/24 (pow x 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (+ 1/2 (* 1/24 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/2 (* 1/24 (pow x 2)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/2 (* 1/24 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (tan (* 1/2 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (sin x) (sin.f64 x))
Calls

3 calls:

TimeVariablePoint
2.0ms
x
inf
2.0ms
x
-inf
2.0ms
x
0

rewrite186.0ms (5.4%)

Memory
-19.0MiB live, 299.7MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02185
03079
113979
255779
3234879
0491676
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
17 → 271
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/24 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
Outputs
x
#s(literal 1/2 binary64)
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/24 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
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(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))
(fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (*.f64 (sin.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x)))

eval37.0ms (1.1%)

Memory
13.1MiB live, 59.5MiB allocated; 16ms collecting garbage
Compiler

Compiled 5 352 to 998 computations (81.4% saved)

prune8.0ms (0.2%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2963299
Fresh000
Picked404
Done-231
Total2986304
Accuracy
100.0%
Counts
304 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
✓100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶49.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶48.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓49.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 70 to 56 computations (20.0% saved)

sample0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/24
1/2
1
2
-1/6
Outputs
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series14.0ms (0.4%)

Memory
-23.9MiB live, 22.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134516
Stop Event
1×iter-limit
Counts
21 → 34
Calls
Call 1
Inputs
x
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Outputs
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* -1/6 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ 1 (* -1/6 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* x (+ 1 (* -1/6 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
inf
2.0ms
x
-inf
1.0ms
x
0

rewrite213.0ms (6.2%)

Memory
26.3MiB live, 223.8MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
037115
1186115
2723109
33196109
05682105
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
21 → 481
Calls
Call 1
Inputs
x
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Outputs
x
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
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(/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (*.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (-.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))) (/.f64 (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))

eval44.0ms (1.3%)

Memory
-13.4MiB live, 77.2MiB allocated; 8ms collecting garbage
Compiler

Compiled 10 982 to 1 700 computations (84.5% saved)

prune14.0ms (0.4%)

Memory
26.7MiB live, 26.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4624466
Fresh000
Picked303
Done-253
Total4639472
Accuracy
100.0%
Counts
472 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
✓100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
▶48.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
▶29.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
✓49.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓48.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
✓49.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
▶45.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
Compiler

Compiled 125 to 95 computations (24.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
-1
1
1/24
-1/6
Outputs
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series60.0ms (1.7%)

Memory
-8.2MiB live, 88.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159573
Stop Event
1×iter-limit
Counts
27 → 37
Calls
Call 1
Inputs
x
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 x x)
(*.f64 x x)
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) x)
#s(literal -1/6 binary64)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
Outputs
#s(approx x x)
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (log (/ 2 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
#s(approx (* (log (/ 2 x)) -1) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))))
#s(approx (exp (* (log (/ 2 x)) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/24 (* x x)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* 1/24 (* x x)) x) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* 1/24 (* x x)) x) (/ 2 x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (* 1/24 (* x x)) x) (/ 2 x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (log (/ 2 x)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (log (/ 2 x)) -1) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
#s(approx (+ (* (* (* 1/24 (* x x)) x) (/ 2 x)) 1) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* (* 1/24 (* x x)) x) (/ 2 x)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (+ (* (* (* 1/24 (* x x)) x) (/ 2 x)) 1) (/ 2 x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (cos x) (cos.f64 x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (* (* x x) x) -1/6) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
Calls

3 calls:

TimeVariablePoint
32.0ms
x
0
12.0ms
x
inf
9.0ms
x
-inf

rewrite173.0ms (5.0%)

Memory
5.7MiB live, 474.4MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031196
049157
1230147
21064147
04074145
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
27 → 875
Calls
Call 1
Inputs
x
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(log.f64 (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 x x)
(*.f64 x x)
(/.f64 (+.f64 x x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) x)
#s(literal -1/6 binary64)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
#s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
Outputs
x
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1 binary64) (neg.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal -1 binary64) x)) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (fabs.f64 x))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(fabs.f64 (/.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)))
(-.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
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(/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))))
(/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) (/.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(+.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(+.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(+.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))

eval130.0ms (3.8%)

Memory
-8.1MiB live, 189.9MiB allocated; 79ms collecting garbage
Compiler

Compiled 27 983 to 3 893 computations (86.1% saved)

prune38.0ms (1.1%)

Memory
-3.4MiB live, 51.5MiB allocated; 8ms collecting garbage
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New97919998
Fresh000
Picked404
Done-275
Total981261 007
Accuracy
100.0%
Counts
1 007 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
28.3%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
✓100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
44.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
48.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (/.f64 (+.f64 x x) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
28.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
29.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
18.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x x) (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) x))))
14.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
✓29.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
0.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))))
26.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))
✓49.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
28.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x x))))
45.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
49.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
✓48.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
29.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
49.1%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
48.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
49.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
✓49.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
44.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
45.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
45.0%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
Compiler

Compiled 424 to 313 computations (26.2% saved)

regimes39.0ms (1.1%)

Memory
9.0MiB live, 54.8MiB allocated; 3ms collecting garbage
Counts
29 → 1
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (/.f64 (+.f64 x x) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x x) (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Call 2
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (*.f64 x x) (+.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (/.f64 (+.f64 x x) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x x) (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(approx (sin x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
Calls

4 calls:

11.0ms
x
8.0ms
x
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
49.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
49.2%1x
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
100.0%1x
Compiler

Compiled 524 to 142 computations (72.9% saved)

derivations17.0ms (0.5%)

Memory
-37.0MiB live, 8.9MiB allocated; 4ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess16.0ms (0.5%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 56 to 46 computations (17.9% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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