cos2 (problem 3.4.1)

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
1.9MiB live, 1.9MiB 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)

sample2.3s (51%)

Memory
-47.7MiB live, 1 613.2MiB allocated; 1.2s collecting garbage
Samples
858.0ms4 218×0valid
753.0ms2 249×2valid
309.0ms667×3valid
122.0ms1 122×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-cos: 1.3s (76% of total)
adjust: 146.0ms (8.3% of total)
ival-sub: 114.0ms (6.5% of total)
ival-div: 94.0ms (5.4% of total)
ival-mult: 58.0ms (3.3% of total)
exact: 7.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain242.0ms (5.3%)

Memory
1.1MiB live, 207.0MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
801(-1.6653930630026246e+133)3(-7.0985776360332e+41)(-.f64 #s(literal 1 binary64) (cos.f64 x))
610-3(-2.9799438250823495e-158)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x 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))cancellation784
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u580
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow58
(*.f64 x x)underflow58
Confusion
Predicted +Predicted -
+1302
-6118
Precision
0.9558823529411765
Recall
0.9848484848484849
Confusion?
Predicted +Predicted MaybePredicted -
+13020
-62116
Precision?
0.9428571428571428
Recall?
1.0
Freqs
test
numberfreq
0120
1136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
104.0ms156×2valid
49.0ms66×1valid
22.0ms256×0valid
14.0ms34×3valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-cos: 104.0ms (61.1% of total)
ival-mult: 46.0ms (27% of total)
adjust: 9.0ms (5.3% of total)
ival-div: 6.0ms (3.5% of total)
ival-sub: 5.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess178.0ms (3.9%)

Memory
31.1MiB live, 267.0MiB allocated; 35ms 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
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.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
2.8MiB live, 2.8MiB 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))

rewrite135.0ms (3%)

Memory
-17.5MiB live, 84.1MiB allocated; 10ms 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 (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 991 to 230 computations (76.8% saved)

prune31.0ms (0.7%)

Memory
-35.9MiB live, 10.5MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New591271
Fresh000
Picked011
Done000
Total591372
Accuracy
100.0%
Counts
72 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.6%
(/.f64 (/.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 x x))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
76.4%
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
11.3%
(/.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)))))
14.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
48.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
76.8%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
50.8%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
50.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.1%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 374 to 220 computations (41.2% saved)

series13.0ms (0.3%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
24 → 75
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))
(/.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))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.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 (* 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 (- (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 (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#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 (* 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 (- (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 (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
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 (* 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)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos 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 (* 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)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos 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 (* 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)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))

rewrite194.0ms (4.2%)

Memory
1.0MiB live, 280.7MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211530
02571486
110051341
083881285
Stop Event
iter limit
node limit
iter limit
Counts
99 → 807
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))
(/.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))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.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 (* 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 (- (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 (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#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 (* 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 (- (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 (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (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))
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(+.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 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fabs.f64 x) x))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x))
(*.f64 (/.f64 x x) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (/.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.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 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(literal -2 binary64)
(/.f64 (/.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #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)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos 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) (sin x)) (*.f64 x x))
#s(approx (* (sin x) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)))
#s(approx (* (sin x) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (* (sin x) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2/45 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64)) #s(literal 1/3 binary64))) (*.f64 x 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 (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (cos x) 1) (* 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 2 binary64)) (*.f64 x x)))
#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (cos x) 1) (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 2 binary64)))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.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 (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 (* 1 (* x x)) (*.f64 x x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #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)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos 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)) (*.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 (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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #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)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #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 (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #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)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos 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 (* x x)) (* (* x x) (cos 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 (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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x))
#s(approx (/ (/ (cos x) x) x) (/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) 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 (/ (cos x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos 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)) x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (sin x) (sin x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#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 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (/ (cos x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))

eval80.0ms (1.8%)

Memory
43.5MiB live, 170.7MiB allocated; 34ms collecting garbage
Compiler

Compiled 15 408 to 2 004 computations (87% saved)

prune38.0ms (0.8%)

Memory
2.2MiB live, 56.6MiB allocated; 30ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New77111782
Fresh617
Picked325
Done011
Total78015795
Accuracy
100.0%
Counts
795 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
76.8%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.4%
(/.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)))
14.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
76.7%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
14.8%
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
50.7%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
50.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
77.4%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
50.8%
#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)))
52.1%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 376 to 239 computations (36.4% saved)

series22.0ms (0.5%)

Memory
-13.4MiB live, 33.9MiB allocated; 7ms collecting garbage
Counts
28 → 90
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.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))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) x)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 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) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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)) #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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* 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 (/ (* 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 (* x (cos x)))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* x (- x (* x (cos x)))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* 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 (* 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 (- x (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 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) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) #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)) #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 (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (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 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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) x) #s(hole binary64 (/ (sin x) x)))
#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 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (- x (* x (cos x)))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* x (- x (* x (cos x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin 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) (* x x) -1/24 1/2 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) (* x (- x (* x (cos x)))) (- x (* x (cos x))) (* x (cos x)) (cos x) (* (* x x) (* x x)) (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) 1 (/ (/ (cos x) x) x) (/ (cos x) x) (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x))
8.0ms
x
@-inf
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin 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) (* x x) -1/24 1/2 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) (* x (- x (* x (cos x)))) (- x (* x (cos x))) (* x (cos x)) (cos x) (* (* x x) (* x x)) (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) 1 (/ (/ (cos x) x) x) (/ (cos x) x) (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x))
3.0ms
x
@0
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin 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) (* x x) -1/24 1/2 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) (* x (- x (* x (cos x)))) (- x (* x (cos x))) (* x (cos x)) (cos x) (* (* x x) (* x x)) (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) 1 (/ (/ (cos x) x) x) (/ (cos x) x) (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) (/ (/ 1 (neg x)) (neg x)) (/ 1 (neg x)) (neg x))

rewrite178.0ms (3.9%)

Memory
19.5MiB live, 295.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02601802
02991703
111091547
086761484
Stop Event
iter limit
node limit
iter limit
Counts
118 → 854
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.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))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) x)
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 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) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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)) #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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* 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 (/ (* 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 (* x (cos x)))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* x (- x (* x (cos x)))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* 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 (* 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 (- x (* x (cos x))) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* x (cos x)) #s(hole binary64 x))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (+ 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) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) #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)) #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 (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (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 (neg x)) (neg x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ 1 (neg x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#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) x) #s(hole binary64 (/ (sin x) x)))
#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 (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (- x (* x (cos x)))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* x (cos x)) #s(hole binary64 (* x (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (- (/ (/ 1 (neg x)) (neg x)) (/ (/ (cos x) x) x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (* x (- x (* x (cos x)))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* x (- x (* x (cos x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (- x (* x (cos x))) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Outputs
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 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 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 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))) (/.f64 (sin.f64 x) (neg.f64 x))) (neg.f64 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))) (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 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 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))) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(/.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))) (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)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (sin.f64 x) (neg.f64 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)) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.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 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x))))
(/.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 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sin.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 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.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)
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/24 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/48 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(*.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)))
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(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
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(-.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x)) (pow.f64 x #s(literal 3 binary64))))
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(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
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(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
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#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(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (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)))
#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 (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 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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 (* x x) (*.f64 x x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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 (* x (cos x)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* x (- x (* x (cos 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 (* x (- x (* x (cos 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 (* x (- x (* x (cos 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 (- x (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (- x (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- x (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 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 (- x (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 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 (* x (cos x)) x)
#s(approx (* x (cos x)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (* 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 3 binary64)) x))
#s(approx (* 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 3 binary64)) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #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 (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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 (* x x)) (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 #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 #s(literal 1/24 binary64) (*.f64 x x) #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 (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)) (*.f64 x x)))
#s(approx (/ (cos x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (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)) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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 (* x x)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ 1 (neg x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (/ (/ (sin x) x) x) (tan (/ x 2))) (*.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) x) (/.f64 (sin.f64 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 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/24 binary64)) x) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* x (- x (* x (cos x)))) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x))
#s(approx (- x (* x (cos x))) (-.f64 x (*.f64 (cos.f64 x) x)))
#s(approx (* x (cos x)) (*.f64 (cos.f64 x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (/ 1 (* x x)) (/ (/ (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 (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* x (- x (* x (cos x)))) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x))
#s(approx (- x (* x (cos x))) (-.f64 x (*.f64 (cos.f64 x) x)))

eval73.0ms (1.6%)

Memory
-22.4MiB live, 117.5MiB allocated; 27ms collecting garbage
Compiler

Compiled 14 792 to 1 899 computations (87.2% saved)

prune25.0ms (0.5%)

Memory
14.3MiB live, 60.8MiB allocated; 4ms collecting garbage
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New73812750
Fresh347
Picked235
Done033
Total74322765
Accuracy
100.0%
Counts
765 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
51.0%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
15.1%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.4%
(/.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)))
99.4%
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
50.5%
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
14.8%
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64)))
76.7%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
50.4%
(/.f64 (*.f64 x (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (*.f64 x x))
14.8%
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
1.3%
(/.f64 (*.f64 x (-.f64 x (*.f64 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)))
50.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
25.5%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
50.7%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
50.5%
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
77.4%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
50.8%
#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)))
52.1%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 549 to 337 computations (38.6% saved)

series43.0ms (0.9%)

Memory
-24.3MiB live, 30.4MiB allocated; 52ms collecting garbage
Counts
33 → 107
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(neg.f64 x)
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(/.f64 x x)
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
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) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) #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)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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 (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#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) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos 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 (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* x x) (* (neg x) (* (cos 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) (* (cos x) x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 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 (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ (- 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 (/ (* (/ (- 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 (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (- x (* (cos x) x)) 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 (* (cos x) x)) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 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 (/ (- 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 (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ x x) #s(hole binary64 1))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (tan (/ x 2)) (sin 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 (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (tan (/ x 2)) (sin 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 (* (/ (/ (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) x) #s(hole binary64 (/ (sin x) x)))
#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)) (/ (/ (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 (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (- 1 (cos x))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))))
#s(approx (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@-inf
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) 1 (* x x) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* (cos x) x))) (* (neg x) (* (cos x) x)) (neg x) (* (cos x) x) (cos x) (* (* x x) (* x x)) (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) (* (/ (- x (* (cos x) x)) x) (/ x x)) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (/ x x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)) (tan (/ x 2)) (/ x 2) 2)
4.0ms
x
@inf
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) 1 (* x x) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* (cos x) x))) (* (neg x) (* (cos x) x)) (neg x) (* (cos x) x) (cos x) (* (* x x) (* x x)) (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) (* (/ (- x (* (cos x) x)) x) (/ x x)) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (/ x x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)) (tan (/ x 2)) (/ x 2) 2)
2.0ms
x
@0
((* (/ (/ (sin x) x) x) (tan (/ x 2))) (/ (/ (sin x) x) x) (/ (sin x) x) (sin x) x (tan (/ x 2)) (/ x 2) (* 1/2 x) 1/2 (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/ 1 (* x x)) 1 (* x x) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) (+ (* x x) (* (neg x) (* (cos x) x))) (* (neg x) (* (cos x) x)) (neg x) (* (cos x) x) (cos x) (* (* x x) (* x x)) (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) (* (/ (- x (* (cos x) x)) x) (/ x x)) (/ (- x (* (cos x) x)) x) (- x (* (cos x) x)) (/ x x) (/ (* (tan (/ x 2)) (sin x)) (* x x)) (* (tan (/ x 2)) (sin x)) (tan (/ x 2)) (/ x 2) 2)

rewrite177.0ms (3.9%)

Memory
29.7MiB live, 306.6MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02902234
03372050
111871987
086741908
Stop Event
iter limit
node limit
iter limit
Counts
140 → 739
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(neg.f64 x)
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(/.f64 x x)
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#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) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#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)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) #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)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (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 (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#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) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos 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 (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* x x) (* (neg x) (* (cos 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) (* (cos x) x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 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 (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (/ (- 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 (/ (* (/ (- 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 (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (/ (- x (* (cos x) x)) 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 (* (cos x) x)) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 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 (/ (- 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 (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ x x) #s(hole binary64 1))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (tan (/ x 2)) (sin 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 (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (tan (/ x 2)) (sin 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 (* (/ (/ (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) x) #s(hole binary64 (/ (sin x) x)))
#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)) (/ (/ (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 (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (+ (* x x) (* (neg x) (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (neg x) (* (cos x) x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (- 1 (cos x))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (* (tan (/ x 2)) (sin x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))))
#s(approx (/ (* (/ (- x (* (cos x) x)) x) (/ x x)) (* x x)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (/ (- x (* (cos x) x)) x) #s(hole binary64 (+ 1 (* -1 (cos x)))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 x) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (*.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 x x) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/.f64 (sin.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sin.f64 x)
x
(/.f64 (neg.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64))) (cos.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64))))
(/.f64 (sin.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (+.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) (PI.f64)))
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(/.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 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) x) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fabs.f64 x) x))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #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) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#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 (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) (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) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.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 (+.f64 #s(literal 0 binary64) (*.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 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x))
(neg.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) x)
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x))
(/.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 -4 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))
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(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (cos.f64 x)) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (cos.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x)))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 (cos.f64 x) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) x) (*.f64 (+.f64 x (*.f64 (cos.f64 x) x)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) x) (*.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (+.f64 x (*.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x))))
(neg.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) x x)
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x) x)
(fma.f64 (*.f64 (cos.f64 x) x) #s(literal -1 binary64) x)
(fma.f64 (neg.f64 x) (cos.f64 x) x)
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(fma.f64 x (neg.f64 (cos.f64 x)) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (+.f64 x (*.f64 (cos.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) x x)))))
(-.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))
(-.f64 x (*.f64 (cos.f64 x) x))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x)
(+.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
#s(literal 1 binary64)
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 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))) (/.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))) (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) (neg.f64 x))) (*.f64 (sin.f64 x) (neg.f64 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)) (/.f64 (sin.f64 x) x)) (*.f64 (sin.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) (neg.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sin.f64 x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.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 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (cos.f64 x))))
(/.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 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) x) x)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 (neg.f64 x) x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.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 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.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)
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (tan (/ x 2)) (sin 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 (/ (* (tan (/ x 2)) (sin 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(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (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)))
#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 (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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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 (* x x)) (pow.f64 x #s(literal -2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (/ (cos x) x) x) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #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 (/ (cos x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos 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)) 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 (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 (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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) (* (neg x) (* (cos x) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (* (neg x) (* (cos 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 (+ (* x x) (* (neg x) (* (cos 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 (+ (* x x) (* (neg x) (* (cos 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 (* (neg x) (* (cos x) x)) (*.f64 (neg.f64 x) x))
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x))
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.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)) (*.f64 x x) #s(literal -1 binary64)) x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (cos x) x) x)
#s(approx (* (cos x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x))
#s(approx (* (cos x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (* (cos x) x) (fma.f64 (pow.f64 x #s(literal 3 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))) x))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos 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)) (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)) (/ (/ (cos 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 (* (cos x) x)) x) (/ x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x 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 (* (/ (- x (* (cos x) x)) x) (/ x 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 (* (/ (- x (* (cos x) x)) x) (/ x x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x 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 (* (/ (- x (* (cos x) x)) x) (/ x 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 (- x (* (cos x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (- x (* (cos x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (- x (* (cos x) x)) (*.f64 (pow.f64 x #s(literal 3 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 (- x (* (cos x) x)) (*.f64 (pow.f64 x #s(literal 3 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 (/ x x) #s(literal 1 binary64))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (tan (/ x 2)) (sin 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 (/ (* (tan (/ x 2)) (sin 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 (* (tan (/ x 2)) (sin x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (* (tan (/ x 2)) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (* (tan (/ x 2)) (sin 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 (* (tan (/ x 2)) (sin 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 (/ (* (tan (/ x 2)) (sin 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) x) (/.f64 (sin.f64 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 (* x x)) (/ (/ (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 (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* x x) (* (neg x) (* (cos x) x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
#s(approx (* (cos x) x) (*.f64 (cos.f64 x) x))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- x (* (cos x) x)) (fma.f64 (neg.f64 x) (cos.f64 x) x))
#s(approx (/ (* (tan (/ x 2)) (sin x)) (* x x)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)))
#s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ 1 (* x x)) (/ (/ (cos x) x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (/ (- x (* (cos x) x)) x) (/ x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (- x (* (cos x) x)) (fma.f64 (neg.f64 x) (cos.f64 x) x))

eval81.0ms (1.8%)

Memory
-13.1MiB live, 124.9MiB allocated; 34ms collecting garbage
Compiler

Compiled 14 879 to 2 009 computations (86.5% saved)

prune32.0ms (0.7%)

Memory
37.0MiB live, 83.5MiB allocated; 4ms collecting garbage
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New76012772
Fresh3811
Picked235
Done066
Total76529794
Accuracy
100.0%
Counts
794 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
51.0%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
15.1%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.5%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
1.6%
(/.f64 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
50.5%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (*.f64 x x))
27.5%
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
51.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
2.8%
(/.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))
50.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x))
50.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
25.4%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
50.4%
(/.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)))
40.2%
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))
99.4%
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
50.5%
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) #s(approx (/ x x) #s(literal 1 binary64))) (*.f64 x x))
14.8%
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64)))
14.8%
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
1.3%
(/.f64 (*.f64 x (-.f64 x (*.f64 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)))
76.7%
(/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
50.4%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
25.5%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
50.7%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
25.6%
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
25.5%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
50.5%
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
99.7%
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
50.8%
#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)))
52.1%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 223 to 465 computations (62% saved)

regimes29.0ms (0.6%)

Memory
-35.7MiB live, 63.4MiB allocated; 13ms collecting garbage
Counts
48 → 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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 (-.f64 x (*.f64 (cos.f64 x) x)) x) #s(approx (/ x x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) 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 x x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.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 (/.f64 (sin.f64 x) x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (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 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.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 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)))))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
Calls

2 calls:

14.0ms
x
10.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes20.0ms (0.4%)

Memory
-1.1MiB live, 45.5MiB allocated; 2ms collecting garbage
Counts
37 → 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))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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 (-.f64 x (*.f64 (cos.f64 x) x)) x) #s(approx (/ x x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) 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 x x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)))
Calls

2 calls:

10.0ms
x
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.4%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)

regimes11.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
36 → 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))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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 (-.f64 x (*.f64 (cos.f64 x) x)) x) #s(approx (/ x x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) 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 x x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.8%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.2%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
35 → 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))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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 (-.f64 x (*.f64 (cos.f64 x) x)) x) #s(approx (/ x x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) 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 x x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.2%)

Memory
-31.4MiB live, 14.5MiB allocated; 3ms collecting garbage
Counts
31 → 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))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) #s(literal -1 binary64)) (*.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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 (-.f64 x (*.f64 (cos.f64 x) x)) x) #s(approx (/ x x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) 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 x x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (/.f64 x x)) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (neg.f64 x) x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
11 → 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))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(-.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* 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 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
52.1%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.1%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
9 → 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))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) #s(approx (* (cos x) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))
(/.f64 (*.f64 x (-.f64 x (*.f64 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 (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 (fma.f64 x x #s(approx (* (neg x) (* (cos x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
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
75.0%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 -0.9b remaining (-2.8%)

Threshold costs -0.9b (-2.8%)

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
52.1%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
52.1%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch12.0ms (0.3%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
10.0ms
3.740376001010951e-8
177.95407485480152
Samples
6.0ms64×1valid
1.0ms16×0valid
Compiler

Compiled 141 to 115 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (20.6% of total)
adjust: 1.0ms (20.6% of total)
ival-mult: 1.0ms (20.6% of total)
ival-sub: 1.0ms (20.6% of total)
ival-cos: 1.0ms (20.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
3.740376001010951e-8
177.95407485480152
Compiler

Compiled 181 to 145 computations (19.9% saved)

bsearch17.0ms (0.4%)

Memory
-27.6MiB live, 18.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
3.740376001010951e-8
177.95407485480152
Samples
8.0ms128×0valid
2.0ms16×1valid
Compiler

Compiled 241 to 210 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.2% of total)
ival-cos: 2.0ms (29.5% of total)
ival-mult: 1.0ms (14.7% of total)
ival-sub: 1.0ms (14.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.740376001010951e-8
177.95407485480152
Compiler

Compiled 241 to 200 computations (17% saved)

bsearch18.0ms (0.4%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
2.2751704882526382e+63
1.5288952441899679e+69
Samples
11.0ms144×0valid
Compiler

Compiled 263 to 190 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 5.0ms (62% of total)
ival-sub: 1.0ms (12.4% of total)
ival-div: 1.0ms (12.4% of total)
ival-mult: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch61.0ms (1.3%)

Memory
-31.5MiB live, 23.6MiB allocated; 89ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
58.0ms
6.142287302543992e+71
7.737202000365468e+78
Samples
52.0ms144×0valid
Compiler

Compiled 191 to 163 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-cos: 45.0ms (93% of total)
ival-sub: 1.0ms (2.1% of total)
ival-div: 1.0ms (2.1% of total)
ival-mult: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify69.0ms (1.5%)

Memory
10.3MiB live, 57.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
060203
194201
2168201
3294200
4648198
53465198
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x)))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1220000000000000011863575342171223935995865422253297604795260280504320 binary64)) #s(approx (/ (- 1 (cos x)) (* 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 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 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
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x))))
(if (<=.f64 x #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(approx (* (tan (/ x 2)) (sin x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x)))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 6456360425798343/1152921504606846976 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1220000000000000011863575342171223935995865422253297604795260280504320 binary64)) #s(approx (/ (- 1 (cos x)) (* 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 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal 1220000000000000011863575342171223935995865422253297604795260280504320 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal 134999999999999991890675758616325914658395787935736092617935634675990850961408 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))

derivations357.0ms (7.8%)

Memory
3.6MiB live, 280.2MiB allocated; 37ms collecting garbage
Stop Event
fuel
Compiler

Compiled 201 to 61 computations (69.7% saved)

preprocess59.0ms (1.3%)

Memory
-1.8MiB live, 47.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 478 to 174 computations (63.6% saved)

end0.0ms (0%)

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

Profiling

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