tanhf (example 3.4)

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze152.0ms (3.7%)

Memory
27.9MiB live, 126.5MiB allocated; 62ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.1s (51.1%)

Memory
69.9MiB live, 2 933.1MiB allocated; 582ms collecting garbage
Samples
913.0ms2 209×2valid
435.0ms4 157×0valid
315.0ms705×3valid
147.0ms1 182×1valid
4.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-cos: 1.1s (67.3% of total)
ival-sin: 190.0ms (12% of total)
adjust: 165.0ms (10.4% of total)
ival-div!: 110.0ms (6.9% of total)
ival-sub!: 52.0ms (3.3% of total)
Bogosity

preprocess43.0ms (1%)

Memory
-40.0MiB live, 61.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01213
15512
224512
3149312
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Symmetry

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series8.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099299
Stop Event
iter-limit
Counts
6 → 20
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
#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 (- 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 (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 x x)
#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 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))
1.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))
1.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) x (sin x))

rewrite417.0ms (10%)

Memory
39.5MiB live, 353.0MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01014
15314
224014
3129414
0855314
12500514
Stop Event
saturated
node-limit
iter-limit
Counts
6 → 128
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.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 (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 (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))
(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)))
(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 (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)))
(+.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)))
(*.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))
(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 (sin.f64 x) #s(literal 0 binary64))) (*.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)))
#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 (sin.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.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 (sin.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
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)))

eval38.0ms (0.9%)

Memory
-36.6MiB live, 31.3MiB allocated; 38ms collecting garbage
Compiler

Compiled 1 118 to 508 computations (54.6% saved)

prune5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1384142
Fresh000
Picked011
Done000
Total1385143
Accuracy
100.0%
Counts
143 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
4.3%
(/.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))
53.7%
#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))))))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 40 to 40 computations (0% saved)

series15.0ms (0.4%)

Memory
-19.1MiB live, 28.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119414
Stop Event
iter-limit
Counts
17 → 28
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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))))))
(*.f64 x (+.f64 #s(literal 1/2 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 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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))
#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)
#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 (* 1/24 (pow x 2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 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 (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 (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 (* 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 (+ 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 (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 (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))
2.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))
2.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (* x (+ 1/2 (* 1/24 (pow x 2)))) (+ 1/2 (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) 1/24 (pow x 2) 2 (tan (* 1/2 x)) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x))

rewrite293.0ms (7.1%)

Memory
30.7MiB live, 430.2MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02185
03079
113979
256779
3236779
0935976
12618476
Stop Event
saturated
node-limit
iter-limit
Counts
17 → 221
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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))))))
(*.f64 x (+.f64 #s(literal 1/2 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 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/24 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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))
(*.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))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#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))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal -2 binary64) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) x) #s(literal 2 binary64))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 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))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -1/24 binary64) x) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))
(neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
#s(literal 1/24 binary64)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 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))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
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(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (PI.f64) x)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (+.f64 (PI.f64) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (+.f64 (PI.f64) x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (neg.f64 x) (PI.f64)))) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (neg.f64 x) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) x)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.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 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
(cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 (PI.f64) x)))

eval35.0ms (0.8%)

Memory
31.3MiB live, 72.4MiB allocated; 16ms collecting garbage
Compiler

Compiled 1 814 to 756 computations (58.3% saved)

prune29.0ms (0.7%)

Memory
-45.0MiB live, 13.3MiB allocated; 28ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2403243
Fresh000
Picked224
Done011
Total2426248
Accuracy
100.0%
Counts
248 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
4.3%
(/.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))
53.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 58 to 58 computations (0% saved)

series13.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134509
Stop Event
iter-limit
Counts
22 → 34
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.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(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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 x (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#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 (+ (* (* 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) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 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 (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 (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 (* -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 (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 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 (* (+ (* (* 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 (+ (* (* 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 (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#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 (+ 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 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:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) x 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) 2)
3.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) x 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) 2)
2.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) x 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (* (* x x) x) 1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* x (+ 1 (* -1/6 (pow x 2)))) (+ 1 (* -1/6 (pow x 2))) (* -1/6 (pow x 2)) -1/6 (pow x 2) 2)

rewrite389.0ms (9.4%)

Memory
-22.3MiB live, 316.1MiB allocated; 148ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026140
040128
1196122
2766122
33074122
09840118
126956118
Stop Event
saturated
node-limit
iter-limit
Counts
22 → 311
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.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(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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 x (+.f64 #s(literal 1 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 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) #s(literal -2 binary64) (neg.f64 x)) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) #s(literal 2 binary64) x) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) x))
(neg.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/24 binary64)) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (*.f64 (fabs.f64 x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
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(+.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))
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(*.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(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
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(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
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(fma.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal -1/6 binary64))) (fabs.f64 x) x)
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(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal -1/6 binary64) x)) x)
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(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)
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(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x) #s(literal 1 binary64))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
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(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))
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(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
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(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 x))
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/6 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -1/6 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.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))
(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))
#s(literal 2 binary64)

eval54.0ms (1.3%)

Memory
-6.2MiB live, 44.7MiB allocated; 12ms collecting garbage
Compiler

Compiled 2 393 to 994 computations (58.5% saved)

prune8.0ms (0.2%)

Memory
21.5MiB live, 21.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2861287
Fresh000
Picked123
Done033
Total2876293
Accuracy
100.0%
Counts
293 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
4.3%
(/.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))
53.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 56 to 56 computations (0% saved)

series8.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118372
Stop Event
iter-limit
Counts
10 → 25
Calls
Call 1
Inputs
(/.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)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
Outputs
#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 (- 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 (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 (sin x) x)
#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 (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (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 (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.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 (+ (* (* (* 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:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)
1.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)
1.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (+ (* (* (* x x) x) -1/6) x) (* (* x x) x) (* x x) x -1/6)

rewrite177.0ms (4.3%)

Memory
-17.9MiB live, 261.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
01850
18450
231850
3134950
0854950
11850650
Stop Event
saturated
node-limit
iter-limit
Counts
10 → 584
Calls
Call 1
Inputs
(/.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)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#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))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) #s(literal 2 binary64))
(*.f64 (*.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))))) (pow.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal -2 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)))))
(*.f64 (*.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 (neg.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 (-.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))) #s(literal 1 binary64))
(*.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(literal 1 binary64)))
(*.f64 (*.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)))) (pow.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.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))))
(*.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(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(*.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))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.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(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 (-.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 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #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 #s(literal 1 binary64) (/.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 (*.f64 (/.f64 #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 2 binary64) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.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)))) #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 (/.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 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 (cos x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #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)))) #s(literal 2 binary64))
(/.f64 (*.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)))) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(/.f64 (*.f64 #s(literal -2 binary64) (/.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)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.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)))) #s(literal 2 binary64))
(/.f64 (*.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 (cos x) #s(literal 1 binary64)))) (*.f64 (neg.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 (*.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)))) (fabs.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) (fabs.f64 #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 (cos x) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(/.f64 (fma.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))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))) #s(literal 2 binary64))
(/.f64 (fma.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 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)))
(/.f64 (fma.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))) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) 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 (fma.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 2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(/.f64 (fma.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))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) 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(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.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))) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) 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 (/.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 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.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))) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) 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 (fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64)) (*.f64 #s(literal -2 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)) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 2 binary64))))
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(fma.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)))))
(fma.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(fma.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 0 binary64)))
(fma.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 0 binary64) (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) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 0 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(fma.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 (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)) (*.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) (*.f64 #s(literal 1/2 binary64) #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))))
(+.f64 (*.f64 #s(literal 0 binary64) #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 #s(literal 0 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)) (*.f64 #s(literal 0 binary64) (neg.f64 #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)) (*.f64 #s(literal 0 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)) (*.f64 (neg.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x))) #s(literal 0 binary64)))
(+.f64 #s(approx (sin x) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)) #s(literal 0 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)))
(neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)) x))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 (fabs.f64 x))) (fabs.f64 x) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)) x)
(fma.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) x)
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) (*.f64 (fabs.f64 x) x) x)
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/6 binary64)) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x x)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (neg.f64 x) x)
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) x) (fabs.f64 x) x)
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/6 binary64) x) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (neg.f64 x) x) x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/6 binary64) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x) x)
(fma.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(fma.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) x) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x)
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x))
(-.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)) x)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(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))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
#s(literal -1/6 binary64)

eval86.0ms (2.1%)

Memory
7.5MiB live, 99.8MiB allocated; 22ms collecting garbage
Compiler

Compiled 9 012 to 1 415 computations (84.3% saved)

prune47.0ms (1.1%)

Memory
-14.4MiB live, 31.6MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5972599
Fresh000
Picked101
Done055
Total5987605
Accuracy
100.0%
Counts
605 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
4.3%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
29.5%
(/.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))
53.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
53.7%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 136 to 114 computations (16.2% saved)

regimes7.0ms (0.2%)

Memory
18.0MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin 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)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 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)))
#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))))))
(/.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)))
(/.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

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin 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)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 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)))
#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))))))
(/.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)))
(/.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)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.8%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin 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))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.7%1x
53.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes14.0ms (0.3%)

Memory
-39.1MiB live, 7.3MiB allocated; 3ms collecting garbage
Accuracy

Total -32.0b remaining (-107.9%)

Threshold costs -32b (-107.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

13.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.7%1x
53.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations111.0ms (2.7%)

Memory
26.7MiB live, 72.8MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 29 to 18 computations (37.9% saved)

preprocess71.0ms (1.7%)

Memory
-29.2MiB live, 126.8MiB allocated; 33ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 115 to 104 computations (9.6% saved)

end0.0ms (0%)

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

Profiling

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