tanhf (example 3.4)

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze191.0ms (5.2%)

Memory
-27.7MiB live, 127.6MiB allocated; 145ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (48.3%)

Memory
54.4MiB live, 1 726.6MiB allocated; 216ms collecting garbage
Samples
648.0ms2 245×2valid
449.0ms4 199×0valid
256.0ms673×3valid
155.0ms1 133×1valid
7.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 779.0ms (60.4% of total)
adjust: 183.0ms (14.2% of total)
ival-sin: 177.0ms (13.7% of total)
ival-div!: 95.0ms (7.4% of total)
ival-sub!: 56.0ms (4.3% of total)
Bogosity

preprocess562.0ms (15.4%)

Memory
-13.8MiB live, 73.5MiB allocated; 986ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01213
14413
212412
327612
473712
5256612
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.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
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
6 → 21
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))
#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))

rewrite162.0ms (4.5%)

Memory
-56.8MiB live, 166.5MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104320
0110299
1604299
05482275
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
27 → 66
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))
#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 (*.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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 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 (+.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 (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))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (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 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 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 (+.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 (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 #s(literal 1 binary64) (neg.f64 (cos.f64 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 (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)))
(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) (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 (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))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 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) 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 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))

eval7.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 502 to 248 computations (50.6% saved)

prune5.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53861
Fresh000
Picked101
Done000
Total54862
Accuracy
100.0%
Counts
62 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x))
4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
99.0%
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
52.3%
#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))
52.3%
#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))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 156 to 152 computations (2.6% saved)

series16.0ms (0.4%)

Memory
-31.5MiB live, 19.2MiB allocated; 5ms collecting garbage
Counts
22 → 56
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#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)
(*.f64 x x)
#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(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(sin.f64 x)
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
Outputs
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (* x x) #s(hole binary64 (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))
#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 (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (tan (/ x 2)) #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 (* (+ (* (+ (* 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 (- 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 (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#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)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((tan (/ x 2)) (/ x 2) x 2 (/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 (/ (- 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 (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (/ (sin x) (+ (cos x) 1)) (+ (cos x) 1) (cos x))
4.0ms
x
@-inf
((tan (/ x 2)) (/ x 2) x 2 (/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 (/ (- 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 (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (/ (sin x) (+ (cos x) 1)) (+ (cos x) 1) (cos x))
2.0ms
x
@0
((tan (/ x 2)) (/ x 2) x 2 (/ (- 1 (cos x)) (sin x)) (* 1/2 x) 1/2 (/ (- 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 (* x x) 1/24 (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (/ (sin x) (+ (cos x) 1)) (+ (cos x) 1) (cos x))

rewrite154.0ms (4.2%)

Memory
14.9MiB live, 199.3MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931054
0212977
1969974
08434933
Stop Event
iter-limit
node-limit
iter-limit
Counts
78 → 319
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#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)
(*.f64 x x)
#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(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(sin.f64 x)
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 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 (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (* x x) #s(hole binary64 (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))
#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 (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (tan (/ x 2)) #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 (* (+ (* (+ (* 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 (- 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 (/ (sin x) (+ (cos x) 1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#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)))))
Outputs
(*.f64 (/.f64 (sin.f64 x) (-.f64 (+.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 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.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 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #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))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (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)) (/.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 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 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 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.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))
(neg.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #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 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))))
(tan.f64 (/.f64 x #s(literal 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 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
x
#s(literal 2 binary64)
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
#s(approx (tan (/ x 2)) (*.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))
(*.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)
(*.f64 x (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)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) x) x)))
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(neg.f64 (/.f64 (-.f64 (cos.f64 x) #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 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 x #s(literal 2 binary64))))
(tan.f64 (/.f64 x #s(literal 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 (/.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 (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 (-.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 #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 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.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 (cos.f64 x) #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) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #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))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.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 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.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))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 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)))) (/.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)))))
(+.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 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.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 (*.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.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 (/ x 2)) (*.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 (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.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 (/ x 2)) (*.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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 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 (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#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 (* x x) (*.f64 x 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))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 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 (sin 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 (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.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 (/ x 2)) (*.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 (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (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 2 binary64)))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (tan (/ x 2)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#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 #s(literal 1/240 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) x) x))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x)))))
#s(approx (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) 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 #s(literal 1/240 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.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 (tan (/ x 2)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))

eval32.0ms (0.9%)

Memory
23.7MiB live, 68.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 762 to 1 085 computations (60.7% saved)

prune15.0ms (0.4%)

Memory
-18.6MiB live, 27.3MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2796285
Fresh123
Picked325
Done000
Total28310293
Accuracy
100.0%
Counts
293 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
99.0%
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
60.3%
(/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))
100.0%
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) x)))
52.3%
#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))
52.3%
#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))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 210 to 205 computations (2.4% saved)

series10.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
29 → 86
Calls
Call 1
Inputs
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
(-.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) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
(*.f64 (*.f64 x x) 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))
(*.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)
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
Outputs
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 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 (sin 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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 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 (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (* 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))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 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) #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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (tan (/ x 2)) #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 (- 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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* 1/240 (pow x 2))))
#s(approx (+ (* (* x x) 1/240) 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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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
3.0ms
x
@inf
((tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (+ (* (* x x) 1/240) 1/24) (* x x) 1/240 1/24 (* (* x x) x) (/ (- 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 (/ (sin x) (- (cos x) -1)) (sin x) (- (cos x) -1) (cos x) -1)
3.0ms
x
@-inf
((tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (+ (* (* x x) 1/240) 1/24) (* x x) 1/240 1/24 (* (* x x) x) (/ (- 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 (/ (sin x) (- (cos x) -1)) (sin x) (- (cos x) -1) (cos x) -1)
2.0ms
x
@0
((tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 x (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) 1 (cos x) (sin x) (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (+ (* (* x x) 1/240) 1/24) (* x x) 1/240 1/24 (* (* x x) x) (/ (- 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 (/ (sin x) (- (cos x) -1)) (sin x) (- (cos x) -1) (cos x) -1)

rewrite189.0ms (5.2%)

Memory
-33.0MiB live, 200.0MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792004
03131848
113931848
082061798
Stop Event
iter-limit
node-limit
iter-limit
Counts
115 → 349
Calls
Call 1
Inputs
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
(-.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) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
(*.f64 x x)
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
(*.f64 (*.f64 x x) 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))
(*.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)
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(sin.f64 x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 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 (sin 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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 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 (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (* 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))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 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) #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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (tan (/ x 2)) #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 (- 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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* 1/240 (pow x 2))))
#s(approx (+ (* (* x x) 1/240) 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 (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (neg.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64))) (cos.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64))))
(/.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64)))
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
x
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (/.f64 #s(literal 1 binary64) #s(approx (sin x) x))) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (neg.f64 #s(approx (sin x) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (*.f64 #s(approx (sin x) x) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(approx (sin x) x) #s(approx (sin x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 #s(approx (sin x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 #s(approx (sin x) x))))
(neg.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(approx (sin x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (sin x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #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) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))
(/.f64 (neg.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))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.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(approx (cos x) #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)))))
(/.f64 (-.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) #s(approx (cos x) #s(literal 1 binary64))))
(/.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) (fma.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))))))
(neg.f64 (+.f64 #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) (fma.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 (*.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) (fma.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 #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(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (sin x) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) 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)
(*.f64 x (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)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal -1/2 binary64) x))))
(-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 x x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) x)))
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(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) x) x))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/57600 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal -1/240 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 4913/65548320768000 binary64)))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))
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(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))
(/.f64 (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/57600 binary64)) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal -1/240 binary64)))
(/.f64 (+.f64 #s(literal 1/13824000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 4913/65548320768000 binary64))) (+.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 4913/65548320768000 binary64) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)))))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(-.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))) (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal -1/240 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))
(-.f64 #s(literal 1/240 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 17/40320 binary64) x)) x))
(-.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 17/40320 binary64)))
(-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/13824000 binary64) (+.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 4913/65548320768000 binary64)) (+.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 4913/65548320768000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))))) (/.f64 #s(literal 1/13824000 binary64) (fma.f64 #s(literal 289/1625702400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))
(+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))
#s(literal 17/40320 binary64)
(/.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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(tan.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 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)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
(sin.f64 x)
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #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) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.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 #s(literal 1 binary64) (cos.f64 x)))
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(/.f64 (-.f64 (+.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 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x)))
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(neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 (/.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 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.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))))
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(-.f64 (cos.f64 x) #s(literal -1 binary64))
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(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal -1 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 (*.f64 x x) #s(literal 1/240 binary64) #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 (*.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 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x 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 (*.f64 x x) #s(literal 1/240 binary64) #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 (*.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 (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 #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 #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) 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 (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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 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 (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* (* x x) 1/240) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 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 (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 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 (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 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 (+ (* (* (+ (* (+ (* 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) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 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) (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 (/ (- 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 (*.f64 x x) #s(literal 1/240 binary64) #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 (*.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 (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (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 2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (sin x) (sin.f64 x))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* x x) 1/240) 1/24) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))
#s(approx (+ (* (* x x) 1/240) 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 (pow.f64 x #s(literal 7 binary64)) (+.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) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) (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 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/240 binary64) (*.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 (pow.f64 x #s(literal 5 binary64)) (+.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) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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) (*.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 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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) (*.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 (cos x)) (sin x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (neg.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))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (neg.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) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.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)))) #s(literal 17/40320 binary64)) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (neg.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))))

eval72.0ms (2%)

Memory
25.6MiB live, 122.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 4 642 to 1 768 computations (61.9% saved)

prune15.0ms (0.4%)

Memory
-14.7MiB live, 31.6MiB allocated; 2ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New3715376
Fresh303
Picked145
Done022
Total37511386
Accuracy
100.0%
Counts
386 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
99.0%
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
60.3%
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
28.9%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
100.0%
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
52.3%
#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))
52.3%
#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))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 221 to 213 computations (3.6% saved)

series10.0ms (0.3%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
29 → 90
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(sin.f64 x)
x
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x)
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(approx (sin x) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
Outputs
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (sin 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 x #s(hole binary64 x))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#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 (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 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 (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (* 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))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 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) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#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 (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* 1/240 (pow x 2))))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* (pow x 5) (+ 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 (* -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)))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) 2 (/ (- 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) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (+ (* (* x x) 1/240) 1/24) (* (* x x) x) (* x x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) -1/24 (sin x) (/ (- 1 (cos x)) (sin x)) (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (+ (* (* x x) 1/240) 1/24) 1/240)
3.0ms
x
@-inf
((/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) 2 (/ (- 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) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (+ (* (* x x) 1/240) 1/24) (* (* x x) x) (* x x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) -1/24 (sin x) (/ (- 1 (cos x)) (sin x)) (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (+ (* (* x x) 1/240) 1/24) 1/240)
2.0ms
x
@0
((/ (sin x) (- (cos x) -1)) (sin x) x (- (cos x) -1) 2 (/ (- 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) 1/24 1/2 (/ (- 1 (cos x)) (sin x)) (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) (+ (* (* x x) 1/240) 1/24) (* (* x x) x) (* x x) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (- 1 (cos x)) (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (+ (* -1/24 (* x x)) 1/2) -1/24 (sin x) (/ (- 1 (cos x)) (sin x)) (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (+ (* (* x x) 1/240) 1/24) 1/240)

rewrite175.0ms (4.8%)

Memory
-2.0MiB live, 227.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02842400
03092218
114212217
082002064
Stop Event
iter-limit
node-limit
iter-limit
Counts
119 → 298
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(sin.f64 x)
x
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x)
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(approx (sin x) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (sin 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 x #s(hole binary64 x))
#s(approx (- (cos x) -1) #s(hole binary64 2))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#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 (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 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 (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (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 (* 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))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 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) #s(hole binary64 (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (+ 1/24 (* 1/240 (pow x 2)))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#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 (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* 1/24 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/240 (pow x 2))))))
#s(approx (/ (sin x) (- (cos x) -1)) #s(hole binary64 (/ (sin x) (+ 1 (cos x)))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (- (cos x) -1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (/ (- 1 (cos x)) (sin x)) #s(hole binary64 (/ (- 1 (cos x)) (sin x))))
#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 (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (* 1/2 x)) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* 1/240 (pow x 2))))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(hole binary64 (* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* 1/240 (pow x 5))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) #s(hole binary64 (* (pow x 5) (+ 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 (* -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)))))
#s(approx (+ (* (+ (* (* x x) 1/240) 1/24) (* (* x 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 (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))))
Outputs
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 #s(approx (- (cos x) -1) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 #s(approx (- (cos x) -1) #s(literal 2 binary64))))
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 #s(approx (- (cos x) -1) #s(literal 2 binary64)))))
(sin.f64 x)
x
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x))
(*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x)
(*.f64 x #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (sin x) (- (cos x) -1)) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 x x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))))
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(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))
#s(literal 1/240 binary64)
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (sin 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 (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 x x)
#s(approx (- (cos x) -1) #s(literal 2 binary64))
#s(approx (- (cos x) -1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (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 2 binary64)))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (/ (sin x) (- (cos x) -1)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) #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 (*.f64 x x) (fma.f64 (*.f64 #s(literal 17/40320 binary64) 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) #s(literal 1/24 binary64))
#s(approx (+ (* (+ (* 17/40320 (* x x)) 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) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* (* x x) 1/240) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x 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 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) 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 (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))))
#s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (/ (sin x) (- (cos x) -1)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#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 (pow.f64 x #s(literal 7 binary64)) (+.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) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) (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 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/240 binary64) (*.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 (pow.f64 x #s(literal 5 binary64)) (+.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) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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) (*.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 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) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/240 binary64) (*.f64 x x))) #s(literal 17/40320 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) 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 (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* x x) 1/240) 1/24) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))
#s(approx (+ (* (* x x) 1/240) 1/24) (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -1/240 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/24 binary64)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) 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 (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))
#s(approx (* (+ (* (* x x) 1/240) 1/24) (* (* x x) 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 (* (+ (* (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) x) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (neg.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) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.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)))) #s(literal 17/40320 binary64)) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (neg.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 (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (neg.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))))
#s(approx (+ (* x 1/2) (* (+ (* (* x x) 1/240) 1/24) (* (* x x) x))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (neg.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))))

eval51.0ms (1.4%)

Memory
-20.2MiB live, 90.5MiB allocated; 27ms collecting garbage
Compiler

Compiled 4 460 to 1 501 computations (66.3% saved)

prune19.0ms (0.5%)

Memory
3.8MiB live, 51.0MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New3456351
Fresh000
Picked145
Done066
Total34616362
Accuracy
100.0%
Counts
362 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
99.0%
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
60.3%
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
28.9%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
28.9%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
28.9%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x))
3.7%
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x))
51.7%
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
100.0%
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
52.3%
#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))
52.3%
#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))
52.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
52.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 405 to 348 computations (14.1% saved)

regimes15.0ms (0.4%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin 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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 #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))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x))
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
Outputs
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

7.0ms
x
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes14.0ms (0.4%)

Memory
-23.1MiB live, 22.9MiB allocated; 2ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin 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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 #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))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))
(/.f64 (sin.f64 x) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(approx (sin x) x))
Outputs
(/.f64 (sin.f64 x) #s(approx (+ (cos x) 1) #s(literal 2 binary64)))
Calls

2 calls:

8.0ms
x
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
60.3%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
60.3%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.3%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Accuracy

Total -31.6b remaining (-103.7%)

Threshold costs -31.6b (-103.7%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (sin x) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) #s(literal 1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (- (cos x) -1) #s(literal 2 binary64)))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin 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)) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 #s(approx (+ (* (* x x) 1/240) 1/24) #s(literal 1/24 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 #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))
(/.f64 #s(approx (- 1 (cos x)) (*.f64 (fma.f64 #s(literal -1/24 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) #s(approx (sin x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
52.4%1x
52.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations118.0ms (3.2%)

Memory
-39.4MiB live, 104.0MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 20 to 18 computations (10% saved)

preprocess40.0ms (1.1%)

Memory
9.9MiB live, 56.0MiB allocated; 4ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 78 to 76 computations (2.6% saved)

end0.0ms (0%)

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

Profiling

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