cos2 (problem 3.4.1)

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.0s (46.7%)

Memory
61.0MiB live, 1 698.0MiB allocated; 325ms collecting garbage
Samples
706.0ms2 259×2valid
354.0ms705×3valid
330.0ms4 068×0valid
117.0ms1 224×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 956.0ms (73.3% of total)
adjust: 114.0ms (8.7% of total)
ival-mult!: 81.0ms (6.2% of total)
ival-sub!: 80.0ms (6.1% of total)
ival-div!: 74.0ms (5.7% of total)
Bogosity

explain182.0ms (4.3%)

Memory
-20.6MiB live, 126.1MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
631(-1.173479040898031e+158)0-(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
601(-3.245198056192576e+45)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation613
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u590
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow59
(*.f64 x x)underflow59
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o50
(*.f64 x x)overflow69
Confusion
Predicted +Predicted -
+1210
-3132
Precision
0.9758064516129032
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12100
-33129
Precision?
0.952755905511811
Recall?
1.0
Freqs
test
numberfreq
0132
1123
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms126×2valid
21.0ms280×0valid
15.0ms42×3valid
7.0ms64×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-cos: 45.0ms (71.2% of total)
adjust: 6.0ms (9.5% of total)
ival-mult!: 5.0ms (7.9% of total)
ival-div!: 4.0ms (6.3% of total)
ival-sub!: 3.0ms (4.7% of total)

preprocess378.0ms (9%)

Memory
-11.8MiB live, 205.5MiB allocated; 125ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
14625
211225
318725
440524
5195724
068
0108
1278
2658
31298
42988
515698
083708
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

series3.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
6 → 17
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

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

rewrite100.0ms (2.4%)

Memory
-6.7MiB live, 91.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
070264
1312264
02707252
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 67
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.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 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.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))
#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))
(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)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(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
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#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 (*.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) 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 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval6.0ms (0.2%)

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

Compiled 991 to 230 computations (76.8% saved)

prune12.0ms (0.3%)

Memory
-21.0MiB live, 23.7MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New601171
Fresh000
Picked011
Done000
Total601272
Accuracy
100.0%
Counts
72 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
75.6%
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
17.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
54.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
28.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
75.6%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
55.7%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
46.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
46.7%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
46.0%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 324 to 218 computations (32.7% saved)

series14.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
28 → 86
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x)
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#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) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#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 (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 x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#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 (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)))
4.0ms
x
@inf
((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)))
3.0ms
x
@0
((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- 1 (cos x)) (* x x)) (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)))

rewrite198.0ms (4.7%)

Memory
-11.5MiB live, 181.2MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581908
02991798
111911698
085381653
Stop Event
iter limit
node limit
iter limit
Counts
114 → 679
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x)
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#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) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#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 (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 x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#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 (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
Outputs
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fabs.f64 x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x x) (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (neg.f64 (fabs.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (fabs.f64 (sin.f64 x))))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
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#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (cos.f64 x) x) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval115.0ms (2.7%)

Memory
5.6MiB live, 146.1MiB allocated; 19ms collecting garbage
Compiler

Compiled 20 568 to 2 692 computations (86.9% saved)

prune29.0ms (0.7%)

Memory
20.2MiB live, 66.5MiB allocated; 4ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New83910849
Fresh426
Picked145
Done011
Total84417861
Accuracy
100.0%
Counts
861 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
75.6%
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
17.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
1.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
54.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
28.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
54.4%
(/.f64 (-.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)) (*.f64 x x)))
17.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
17.4%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 x x) (*.f64 x x)))
75.6%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
54.4%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
28.1%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
76.1%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
46.7%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
46.0%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
46.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 494 to 293 computations (40.7% saved)

series22.0ms (0.5%)

Memory
-45.4MiB live, 12.2MiB allocated; 4ms collecting garbage
Counts
27 → 78
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) 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 x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#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 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) x (* x x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) -1/24 1/2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) 1 (* (* x x) (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* (* x x) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)))
7.0ms
x
@-inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) x (* x x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) -1/24 1/2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) 1 (* (* x x) (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* (* x x) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)))
2.0ms
x
@0
((* (/ (sin x) (* x x)) (tan (/ x 2))) (/ (sin x) (* x x)) (sin x) x (* x x) (tan (/ x 2)) (/ x 2) 2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) -1/24 1/2 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) 1 (* (* x x) (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 (* (* x x) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)))

rewrite197.0ms (4.7%)

Memory
26.4MiB live, 213.9MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271634
02641546
110511413
083721364
Stop Event
iter limit
node limit
iter limit
Counts
105 → 896
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/6 (pow x 2))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) 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 x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 1/2))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#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 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (/ (sin x) (* x x)) (tan (/ x 2))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) (* x x)) #s(hole binary64 (/ (sin x) (pow x 2))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (/ (/ (- 1 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 x x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) x) x)
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) x) x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) x) x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (cos.f64 x) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (*.f64 x x)) (*.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (sin.f64 x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.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)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 x x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* x x)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.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) (* x x)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (* 1 (* x x)) (*.f64 x x))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.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 (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* 1 (* x x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (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)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#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 (*.f64 (fma.f64 (-.f64 (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)))
#s(approx (/ (sin x) (* x x)) (/.f64 (/.f64 (sin.f64 x) x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/24 binary64)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (cos.f64 x) x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))

eval93.0ms (2.2%)

Memory
20.3MiB live, 158.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 23 555 to 2 501 computations (89.4% saved)

prune52.0ms (1.2%)

Memory
-32.3MiB live, 65.3MiB allocated; 10ms collecting garbage
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New97311984
Fresh437
Picked325
Done145
Total981201 001
Accuracy
100.0%
Counts
1 001 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.5%
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
54.6%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
2.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) x) x)
56.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
24.4%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
1.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
2.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 x x))
54.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
28.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
54.4%
(/.f64 (-.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)) (*.f64 x x)))
17.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
1.7%
(/.f64 (*.f64 x (-.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))
28.1%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
76.1%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
17.4%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
76.1%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
46.7%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
46.0%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
46.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 609 to 360 computations (40.9% saved)

series13.0ms (0.3%)

Memory
27.1MiB live, 27.1MiB allocated; 0ms collecting garbage
Counts
34 → 92
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(sin.f64 x)
x
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 1/2))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#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 (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) 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 x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* (* x x) 1/720) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x 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 (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 1))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#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 x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (cos x)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (sin x) (/ (tan (/ x 2)) (* x x))) (sin x) x (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) 2 (* x x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (- (* (* x x) 1/720) 1/24) (* (* x x) 1/720) 1/720 1/24 1/2 (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (- 1 (/ (* (* x x) (cos x)) (* x x))) 1 (/ (* (* x x) (cos x)) (* x x)) (* (* x x) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (- (pow x -2) (/ (cos x) (* x x))) (pow x -2) -2 (/ (cos x) (* x x)) (cos x) (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg x) x) (cos x)) (* x x)) (* (neg x) x) (neg x) (cos x) (* (* x x) (* x x)))
4.0ms
x
@inf
((* (sin x) (/ (tan (/ x 2)) (* x x))) (sin x) x (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) 2 (* x x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (- (* (* x x) 1/720) 1/24) (* (* x x) 1/720) 1/720 1/24 1/2 (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (- 1 (/ (* (* x x) (cos x)) (* x x))) 1 (/ (* (* x x) (cos x)) (* x x)) (* (* x x) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (- (pow x -2) (/ (cos x) (* x x))) (pow x -2) -2 (/ (cos x) (* x x)) (cos x) (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg x) x) (cos x)) (* x x)) (* (neg x) x) (neg x) (cos x) (* (* x x) (* x x)))
3.0ms
x
@0
((* (sin x) (/ (tan (/ x 2)) (* x x))) (sin x) x (/ (tan (/ x 2)) (* x x)) (tan (/ x 2)) (/ x 2) 2 (* x x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (- (* (* x x) 1/720) 1/24) (* (* x x) 1/720) 1/720 1/24 1/2 (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (- 1 (/ (* (* x x) (cos x)) (* x x))) 1 (/ (* (* x x) (cos x)) (* x x)) (* (* x x) (cos x)) (cos x) (+ (* (* x x) -1/2) 1) -1/2 (- (pow x -2) (/ (cos x) (* x x))) (pow x -2) -2 (/ (cos x) (* x x)) (cos x) (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) (+ (* (* (neg x) x) (cos x)) (* x x)) (* (neg x) x) (neg x) (cos x) (* (* x x) (* x x)))

rewrite175.0ms (4.2%)

Memory
-22.8MiB live, 205.7MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02682056
03121968
112471840
084881760
Stop Event
iter limit
node limit
iter limit
Counts
126 → 598
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(sin.f64 x)
x
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 1/2))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#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 (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 1/24 (pow x 2))) x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) 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 x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* (* x x) 1/720) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x 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 (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 1))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#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 x) -1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 1/2))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) (* x x)) #s(hole binary64 (/ (sin (* 1/2 x)) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* (* x x) 1/720) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(hole binary64 (cos x)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (+ (* (* (neg x) x) (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
Outputs
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(sin.f64 x)
x
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) 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 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 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 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.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 #s(literal 1 binary64) (cos.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 (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)))
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (*.f64 x x)))
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(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
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(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x))
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(fma.f64 (neg.f64 (cos.f64 x)) (*.f64 x x) (*.f64 x x))
(fma.f64 (neg.f64 x) (*.f64 x (cos.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
(fma.f64 (*.f64 x x) (neg.f64 (cos.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
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(fma.f64 x (neg.f64 (*.f64 x (cos.f64 x))) (*.f64 x x))
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(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))))
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(cos.f64 x)
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
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(pow.f64 x #s(literal 4 binary64))
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(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) #s(literal 1/2 binary64))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
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#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) (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)))
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
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#s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (tan (/ x 2)) (* x 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 (/ (tan (/ x 2)) (* x x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (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 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (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)))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* (* x x) 1/720) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* (* x x) 1/720) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* (* x x) 1/720) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) (*.f64 (*.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)) x) x))
#s(approx (/ (* (* x x) (cos x)) (* x x)) #s(literal 1 binary64))
#s(approx (/ (* (* x x) (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (* (* x x) (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (* x x) (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (* x x) (cos x)) (*.f64 x x))
#s(approx (* (* x x) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (* (* x x) (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.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 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (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)))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (cos x) (* x x)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) #s(literal 1/2 binary64))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (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)))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (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))))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (sin x) (/ (tan (/ x 2)) (* x x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (* x x) 1/720) 1/24) (* x x)) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* x x) 1/720) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (- (* (* x x) 1/720) 1/24) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) x) x))
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (/ (* (* x x) (cos x)) (* x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (* (* x x) (cos x)) (* x x)) (cos.f64 x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (cos.f64 x) x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
#s(approx (- (pow x -2) (/ (cos x) (* x x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* (neg x) x) (cos x)) (* x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))

eval93.0ms (2.2%)

Memory
-3.1MiB live, 141.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 22 866 to 2 770 computations (87.9% saved)

prune34.0ms (0.8%)

Memory
27.9MiB live, 75.4MiB allocated; 1ms collecting garbage
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New92912941
Fresh189
Picked415
Done156
Total93526961
Accuracy
100.0%
Counts
961 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
54.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
17.5%
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
54.6%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
2.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) x) x)
56.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
24.4%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
1.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
2.9%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
3.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x) x)) (*.f64 x x))
2.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 x x))) (*.f64 x x))
2.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (*.f64 x x))
54.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
28.2%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
17.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
1.7%
(/.f64 (*.f64 x (-.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))
28.5%
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
28.2%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
76.1%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
17.4%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
76.1%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
48.2%
(*.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)))
46.7%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
46.0%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
46.1%
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 300 to 460 computations (64.6% saved)

regimes24.0ms (0.6%)

Memory
-11.1MiB live, 35.6MiB allocated; 2ms collecting garbage
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 x x))) (*.f64 x x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) x) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.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)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

11.0ms
x
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
98.7%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.8%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 x x))) (*.f64 x x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) x) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes12.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 x x))) (*.f64 x x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 x x))) x) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (sin.f64 x) #s(approx (/ (tan (/ x 2)) (* x x)) (/.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
52.4%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
73.2%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes16.0ms (0.4%)

Memory
-49.6MiB live, 7.5MiB allocated; 21ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(approx (cos x) #s(approx (+ (* (* x x) -1/2) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 x x))) (*.f64 x x))
Outputs
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
73.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
73.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Accuracy

Total -1.0b remaining (-3%)

Threshold costs -1b (-3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
47.5%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
47.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch12.0ms (0.3%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.0278343919067594
7.387971802744906
Samples
5.0ms128×0valid
Compiler

Compiled 339 to 210 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 1.0ms (35.2% of total)
ival-mult!: 1.0ms (35.2% of total)
ival-div!: 1.0ms (35.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0278343919067594
7.387971802744906
Compiler

Compiled 339 to 210 computations (38.1% saved)

bsearch19.0ms (0.4%)

Memory
-29.3MiB live, 18.6MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
2.495364595159198e+28
2.4116598249283166e+32
Samples
9.0ms128×0valid
Compiler

Compiled 427 to 226 computations (47.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 5.0ms (79.4% of total)
ival-mult!: 1.0ms (15.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
6.676169358693557e+27
2.495364595159198e+28
Samples
5.0ms80×0valid
Compiler

Compiled 261 to 150 computations (42.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 3.0ms (82.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.3147231717422081e+75
4.5369330263052685e+79
Samples
9.0ms128×0valid
Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (67% of total)
ival-mult!: 1.0ms (16.8% of total)
ival-div!: 1.0ms (16.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

simplify54.0ms (1.3%)

Memory
6.3MiB live, 87.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056230
1119220
2526192
33164192
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 22000000000000001000411699871744 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 23999999999999998119878066176 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- 1 (/ (* (* x x) (cos x)) (* x x))) (* x x)) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 7566047373982433/72057594037927936 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 22000000000000001000411699871744 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 23999999999999998119878066176 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 23999999999999998119878066176 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 149999999999999990989639731795917682953773097706373436242150705195545389957120 binary64)) #s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(literal 1/2 binary64))

derivations316.0ms (7.5%)

Memory
-6.0MiB live, 136.2MiB allocated; 38ms collecting garbage
Stop Event
fuel
Compiler

Compiled 264 to 51 computations (80.7% saved)

preprocess34.0ms (0.8%)

Memory
-12.2MiB live, 33.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 740 to 218 computations (70.5% saved)

end0.0ms (0%)

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

Profiling

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