tanhf (example 3.4)

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze104.0ms (2.8%)

Memory
-17.4MiB live, 111.2MiB allocated; 19ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.3s (60.7%)

Memory
69.2MiB live, 1 607.5MiB allocated; 943ms collecting garbage
Samples
726.0ms4 186×0valid
644.0ms2 173×2valid
547.0ms693×3valid
113.0ms1 200×1valid
5.0ms4×4valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-cos: 1.1s (60.7% of total)
ival-sin: 403.0ms (23% of total)
adjust: 161.0ms (9.2% of total)
ival-div!: 77.0ms (4.4% of total)
ival-sub!: 48.0ms (2.7% of total)
Bogosity

preprocess85.0ms (2.3%)

Memory
-24.1MiB live, 67.9MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01213
15512
224912
3150712
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Symmetry

(negabs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
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)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin 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))

rewrite201.0ms (5.4%)

Memory
31.5MiB live, 214.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103316
0109295
1720295
07928271
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
26 → 98
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)
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) (sin.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 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.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)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.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 #s(literal 1 binary64) (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 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 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (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 (*.f64 (-.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))))) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (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)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(tan.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.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 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.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)))))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.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 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.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 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (-.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 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64))))))
(neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #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 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(*.f64 (/.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 (fabs.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
x
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #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(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx x x)
#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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.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))

eval12.0ms (0.3%)

Memory
-24.4MiB live, 21.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 713 to 329 computations (53.9% saved)

prune5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done000
Total87693
Accuracy
100.0%
Counts
93 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.1%
(/.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))
▶50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
▶50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
▶50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 130 to 126 computations (3.1% saved)

series11.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
22 → 52
Calls
Call 1
Inputs
(tan.f64 (*.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 #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)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
Outputs
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 1/240))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2)))))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/240 (pow x 4))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* 1/240 (pow x 2))))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 17/40320 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* 17/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 17/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* 17/40320 (pow x 4))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* 17/40320 (pow x 2))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)
3.0ms
x
@inf
((tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)
3.0ms
x
@0
((tan (* 1/2 x)) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) 1/240 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240) 17/40320)

rewrite172.0ms (4.6%)

Memory
-16.8MiB live, 231.4MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921399
02191299
111331296
083071265
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
74 → 449
Calls
Call 1
Inputs
(tan.f64 (*.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 #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)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 1/24 x)))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* 1/240 (pow x 2))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* x (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 1/240))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (+ 1/240 (* 17/40320 (pow x 2)))))
#s(approx (tan (* 1/2 x)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/240 (pow x 4))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* 1/240 (pow x 2))))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 17/40320 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* 17/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* 17/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* (pow x 5) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* 17/40320 (pow x 4))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(hole binary64 (* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* 17/40320 (pow x 2))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(hole binary64 (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 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 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (sin.f64 x)) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (sin.f64 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 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (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 (*.f64 (-.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))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.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 #s(literal -1 binary64) (cos.f64 x)))) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (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)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(tan.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(tan.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (tan (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (tan (* 1/2 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1/2 binary64)))
(*.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 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/24 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 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 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 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 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 (-.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.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))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
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#s(approx (tan (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (* 1/2 x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/240 (* x x)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/240 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 #s(literal 1/24 binary64) x))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) x))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* 17/40320 (* x x)) 1/240) #s(literal 1/240 binary64))
#s(approx (+ (* 17/40320 (* x x)) 1/240) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)))
#s(approx (tan (* 1/2 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (tan (* 1/2 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/240 binary64)))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 1/240 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))
#s(approx (+ (* 1/240 (* x x)) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 17/40320 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal -17/40320 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (*.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) #s(literal -17/40320 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 17/40320 binary64)))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 17/40320 binary64)))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal -17/40320 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 17/40320 (* x x)) 1/240) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))
#s(approx (+ (* 17/40320 (* x x)) 1/240) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (neg.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) #s(literal -1/240 binary64))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal -17/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (neg.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)) #s(literal -17/40320 binary64))) (pow.f64 x #s(literal 5 binary64)))))

eval68.0ms (1.8%)

Memory
-9.1MiB live, 83.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 6 332 to 2 371 computations (62.6% saved)

prune14.0ms (0.4%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New4683471
Fresh011
Picked055
Done000
Total4689477
Accuracy
100.0%
Counts
477 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.1%
(/.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))
▶50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
▶50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶26.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 110 to 107 computations (2.7% saved)

series8.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
24 → 32
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(/.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(approx (cos x) #s(literal 1 binary64))
(sin.f64 x)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (* (* (* x x) 1/24) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 1/24))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
Calls

3 calls:

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

rewrite148.0ms (4%)

Memory
-29.8MiB live, 66.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146646
0165611
1978603
08243556
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
56 → 357
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(/.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(approx (cos x) #s(literal 1 binary64))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx (* (* (* x x) 1/24) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (* x x) 1/24) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 1/24))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x)
(*.f64 x #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) x) x)
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x))))))
(neg.f64 (*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 x) x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (neg.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) #s(literal 1/24 binary64))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/24 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/576 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))
(*.f64 (+.f64 #s(literal 1/13824 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/576 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/24 binary64) x (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/13824 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))))))
(neg.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (cos 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)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 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(approx (cos x) #s(literal 1 binary64))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #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(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- (/ 1/2 (* x x)) -1/24) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (* (* (* x x) 1/24) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
#s(approx (* (* x x) 1/24) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x 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(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(literal 1/24 binary64))
#s(approx (- (/ 1/2 (* x x)) -1/24) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 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))

eval54.0ms (1.4%)

Memory
28.7MiB live, 73.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 3 689 to 1 708 computations (53.7% saved)

prune20.0ms (0.5%)

Memory
-24.3MiB live, 22.8MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New3404344
Fresh000
Picked134
Done055
Total34112353
Accuracy
100.0%
Counts
353 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.1%
(/.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)))
✓100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
▶26.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
✓26.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
▶26.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
▶46.6%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))))
Compiler

Compiled 174 to 168 computations (3.4% saved)

series60.0ms (1.6%)

Memory
6.1MiB live, 99.6MiB allocated; 22ms collecting garbage
Counts
32 → 43
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.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)))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))
(*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
#s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1/24 binary64)
(/.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) #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 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (* (log (/ 2 x)) -1) #s(hole binary64 (* -1 (+ (log 2) (* -1 (log x))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (* (log (/ 2 x)) -1) #s(hole binary64 (* -1 (+ (log 2) (log (/ 1 x))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (log (/ 1 x)))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 1/24))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
33.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (- (/ 1/2 (* x x)) -1/24) (* x x)) (- (/ 1/2 (* x x)) -1/24) (/ 1/2 (* x x)) 1/2 (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (- (/ (/ 1/2 x) x) -1/24) (* x x)) (- (/ (/ 1/2 x) x) -1/24) (/ (/ 1/2 x) x) (/ 1/2 x) -1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6)
17.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (- (/ 1/2 (* x x)) -1/24) (* x x)) (- (/ 1/2 (* x x)) -1/24) (/ 1/2 (* x x)) 1/2 (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (- (/ (/ 1/2 x) x) -1/24) (* x x)) (- (/ (/ 1/2 x) x) -1/24) (/ (/ 1/2 x) x) (/ 1/2 x) -1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6)
9.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (exp (* (log (/ 2 x)) -1)) (* (log (/ 2 x)) -1) (log (/ 2 x)) (/ 2 x) 2 x -1 (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (- (/ 1/2 (* x x)) -1/24) (* x x)) (- (/ 1/2 (* x x)) -1/24) (/ 1/2 (* x x)) 1/2 (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* (- (/ (/ 1/2 x) x) -1/24) (* x x)) (- (/ (/ 1/2 x) x) -1/24) (/ (/ 1/2 x) x) (/ 1/2 x) -1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6)

rewrite163.0ms (4.3%)

Memory
22.5MiB live, 295.7MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186945
0210888
11170869
08361815
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
75 → 462
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.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)))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)))
(*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))
#s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal -1/24 binary64)
(/.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) #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 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (* (log (/ 2 x)) -1) #s(hole binary64 (* -1 (+ (log 2) (* -1 (log x))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (* -1 (log x)))))
#s(approx (/ 2 x) #s(hole binary64 (/ 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#s(approx (* (log (/ 2 x)) -1) #s(hole binary64 (* -1 (+ (log 2) (log (/ 1 x))))))
#s(approx (log (/ 2 x)) #s(hole binary64 (+ (log 2) (log (/ 1 x)))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow x 2))))
#s(approx (+ (* (* x x) 1/24) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 1/24))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(hole binary64 (+ 1/24 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.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) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 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 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #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 (-.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 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)))) (-.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))))
(/.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 1/2 binary64) x) (/.f64 #s(literal 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 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))) (*.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))))))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 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)) (sinh.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 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)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))) (log.f64 #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (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 (-.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))))
(neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))))
(-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(log.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x))))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(log.f64 (pow.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 #s(literal 2 binary64))))
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(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 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 (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 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* (log (/ 2 x)) -1) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (/ 2 x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) 1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- (/ 1/2 (* x x)) -1/24) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (log (/ 2 x)) -1) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (log (/ 2 x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (* x x) 1/24) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
#s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
#s(approx (- (/ 1/2 (* x x)) -1/24) #s(literal 1/24 binary64))
#s(approx (- (/ 1/2 (* x x)) -1/24) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x 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 (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))

eval65.0ms (1.7%)

Memory
1.3MiB live, 151.9MiB allocated; 50ms collecting garbage
Compiler

Compiled 5 399 to 2 461 computations (54.4% saved)

prune32.0ms (0.8%)

Memory
-9.6MiB live, 75.1MiB allocated; 25ms collecting garbage
Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New44412456
Fresh000
Picked224
Done088
Total44622468
Accuracy
100.0%
Counts
468 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))
29.1%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
28.8%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
✓100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
46.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
✓50.8%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
50.5%
#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))))
✓26.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
✓26.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
27.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) x))
26.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x))) x))
✓26.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
26.2%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) x))
✓50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
50.9%
#s(approx (/ (- 1 (cos x)) (sin x)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)))
46.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
46.6%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (*.f64 (log.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
46.6%
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
Compiler

Compiled 535 to 468 computations (12.5% saved)

regimes31.0ms (0.8%)

Memory
5.0MiB live, 54.5MiB allocated; 23ms collecting garbage
Counts
26 → 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)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)))
#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 (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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x))) 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)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 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 (fabs.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
#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 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 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

2 calls:

22.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
7.0ms
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)

regimes27.0ms (0.7%)

Memory
17.2MiB live, 59.3MiB allocated; 17ms collecting garbage
Counts
24 → 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)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)))
#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 (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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x))) 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)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 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 (fabs.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
#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 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 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 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
Calls

2 calls:

19.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
7.0ms
x
Results
AccuracySegmentsBranch
50.9%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
50.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes19.0ms (0.5%)

Memory
-14.2MiB live, 28.6MiB allocated; 11ms collecting garbage
Accuracy

Total -31.9b remaining (-101.6%)

Threshold costs -31.9b (-101.6%)

Counts
20 → 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)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) x)))
#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 (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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x))) 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)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal -1/24 binary64)) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 #s(approx (- (/ 1/2 (* x x)) -1/24) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 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 (fabs.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (exp.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

12.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
50.9%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
50.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

derivations75.0ms (2%)

Memory
31.6MiB live, 76.5MiB allocated; 9ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess98.0ms (2.6%)

Memory
-24.0MiB live, 75.5MiB allocated; 32ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 98 to 90 computations (8.2% saved)

end0.0ms (0%)

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

Profiling

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