Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze278.0ms (8.1%)

Memory
-14.3MiB live, 377.6MiB allocated; 115ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.1s (33.5%)

Memory
16.3MiB live, 2 055.0MiB allocated; 220ms collecting garbage
Samples
884.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 708.0ms
ival-sin: 479.0ms (67.6% of total)
ival-mult!: 186.0ms (26.3% of total)
ival-div!: 42.0ms (5.9% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain142.0ms (4.1%)

Memory
-9.0MiB live, 231.2MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
570-4(-1.1964103703871192e-155)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
0122(1.2496995980960078e+67)0-(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
00-0-#s(literal 8 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
00-0-(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
00-0-(sin.f64 x)
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (*.f64 x #s(literal 1/2 binary64)))sensitivity1220
/.f64(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))u/n530
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))underflow53
Confusion
Predicted +Predicted -
+534
-12277
Precision
0.3028571428571429
Recall
0.9298245614035088
Confusion?
Predicted +Predicted MaybePredicted -
+5304
-122077
Precision?
0.3028571428571429
Recall?
0.9298245614035088
Freqs
test
numberfreq
081
1175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 35.0ms (78% of total)
ival-mult!: 7.0ms (15.6% of total)
ival-div!: 2.0ms (4.5% of total)
adjust: 0.0ms (0% of total)

preprocess47.0ms (1.4%)

Memory
-4.2MiB live, 42.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
14443
213242
343742
498742
5206242
6412042
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Symmetry

(negabs x)

Compiler

Compiled 32 to 22 computations (31.3% saved)

series7.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
11 → 27
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))
2.0ms
x
@-inf
((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))
2.0ms
x
@0
((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x))

rewrite171.0ms (5%)

Memory
6.0MiB live, 184.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151542
0163506
1784506
06081484
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
38 → 57
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.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) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))

eval7.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 340 to 260 computations (80.6% saved)

prune21.0ms (0.6%)

Memory
-20.2MiB live, 38.5MiB allocated; 7ms collecting garbage
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New451964
Fresh000
Picked101
Done000
Total461965
Accuracy
99.7%
Counts
65 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.5%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
55.4%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
55.5%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
33.6%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
33.6%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
33.2%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
79.6%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
33.2%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
33.2%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
33.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
33.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
79.6%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
79.6%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
52.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
53.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 754 to 532 computations (29.4% saved)

series16.0ms (0.5%)

Memory
-13.1MiB live, 32.5MiB allocated; 5ms collecting garbage
Counts
35 → 90
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/540 binary64) (*.f64 x x))
#s(literal 1/540 binary64)
(*.f64 x x)
#s(literal 1/18 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (sin x) x)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 -1/18))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 (- (* 1/540 (pow x 2)) 1/18)))
#s(approx (* 1/540 (* x x)) #s(hole binary64 (* 1/540 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* 1/540 (pow x 6))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* 1/540 (pow x 5))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (* 1/540 (pow x 4))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 (* 1/540 (pow x 2))))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 (* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) (- (* 1/540 (* x x)) 1/18) (* 1/540 (* x x)) 1/540 (* x x) 1/18 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) 2)
4.0ms
x
@inf
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) (- (* 1/540 (* x x)) 1/18) (* 1/540 (* x x)) 1/540 (* x x) 1/18 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) 2)
4.0ms
x
@0
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) (- (* 1/540 (* x x)) 1/18) (* 1/540 (* x x)) 1/540 (* x x) 1/18 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) 2)

rewrite224.0ms (6.5%)

Memory
7.0MiB live, 253.7MiB allocated; 119ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03202092
03632004
114832004
081761905
Stop Event
iter-limit
node-limit
iter-limit
Counts
125 → 252
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/540 binary64) (*.f64 x x))
#s(literal 1/540 binary64)
(*.f64 x x)
#s(literal 1/18 binary64)
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (sin x) x)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 -1/18))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 (- (* 1/540 (pow x 2)) 1/18)))
#s(approx (* 1/540 (* x x)) #s(hole binary64 (* 1/540 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* 1/540 (pow x 6))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* 1/540 (pow x 5))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* (pow x 5) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (* 1/540 (pow x 4))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) #s(hole binary64 (* (pow x 4) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 (* 1/540 (pow x 2))))
#s(approx (- (* 1/540 (* x x)) 1/18) #s(hole binary64 (* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/18 (/ 1 (pow x 2))) (+ 1/540 (/ 2/3 (pow x 4))))))))
Outputs
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(literal 8/3 binary64)
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#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/540 binary64)))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (* (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/540 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/540 binary64)))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/540 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/540 binary64)))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/540 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/540 (* x x)) 1/18) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))
#s(approx (- (* 1/540 (* x x)) 1/18) (*.f64 (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64))) (*.f64 x x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)) #s(literal 1/540 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/540 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)) #s(literal 1/540 binary64)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval30.0ms (0.9%)

Memory
23.2MiB live, 69.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 8 069 to 1 220 computations (84.9% saved)

prune24.0ms (0.7%)

Memory
-13.9MiB live, 41.1MiB allocated; 4ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New23416250
Fresh8614
Picked235
Done000
Total24425269
Accuracy
99.7%
Counts
269 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
79.5%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
50.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
55.4%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
32.7%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
33.2%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
38.6%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
16.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) x)) (sin.f64 x))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
32.6%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
33.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
79.6%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
79.6%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
75.0%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
52.9%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
58.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
52.9%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
52.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
53.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 289 to 793 computations (38.5% saved)

series8.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
28 → 82
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 8/3 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 4/3))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ (* (sin (* x 1/2)) 8/3) (sin x)) (* (sin (* x 1/2)) 8/3) (sin (* x 1/2)) (* x 1/2) 8/3 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) (/ (pow (sin (* x 1/2)) 2) (sin x)) (pow (sin (* x 1/2)) 2) 2)
2.0ms
x
@-inf
((* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ (* (sin (* x 1/2)) 8/3) (sin x)) (* (sin (* x 1/2)) 8/3) (sin (* x 1/2)) (* x 1/2) 8/3 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) (/ (pow (sin (* x 1/2)) 2) (sin x)) (pow (sin (* x 1/2)) 2) 2)
2.0ms
x
@0
((* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ (* (sin (* x 1/2)) 8/3) (sin x)) (* (sin (* x 1/2)) 8/3) (sin (* x 1/2)) (* x 1/2) 8/3 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) (/ (pow (sin (* x 1/2)) 2) (sin x)) (pow (sin (* x 1/2)) 2) 2)

rewrite148.0ms (4.3%)

Memory
-24.5MiB live, 162.8MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02851781
03221704
113891704
083191633
Stop Event
iter-limit
node-limit
iter-limit
Counts
110 → 230
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 8/3 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 4/3))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* x 1/2)) 8/3) (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ (* (sin (* x 1/2)) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* x 1/2)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2))))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (* (/ (pow (sin (* x 1/2)) 2) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
Outputs
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
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(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (sin (* x 1/2)) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) 8/3) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) 8/3) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.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) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (* x x) 1/18) 2/3) (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (sin (* x 1/2)) 8/3) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (/ (pow (sin (* x 1/2)) 2) (sin x)) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
#s(approx (pow (sin (* x 1/2)) 2) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))

eval27.0ms (0.8%)

Memory
-8.4MiB live, 37.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 806 to 742 computations (84.6% saved)

prune24.0ms (0.7%)

Memory
38.9MiB live, 38.9MiB allocated; 0ms collecting garbage
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New18310193
Fresh21517
Picked055
Done033
Total18533218
Accuracy
99.7%
Counts
218 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
79.5%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
50.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
55.4%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
32.7%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
33.2%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
38.6%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
16.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
32.6%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
33.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
79.6%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
79.6%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
50.5%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
33.7%
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
52.9%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
75.0%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
58.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
52.4%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
52.9%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
53.0%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
58.3%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
52.4%
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
32.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
52.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
30.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
53.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 543 to 985 computations (36.2% saved)

series22.0ms (0.6%)

Memory
-14.9MiB live, 32.2MiB allocated; 2ms collecting garbage
Counts
44 → 122
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 x x)
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))
#s(literal 1/540 binary64)
#s(literal -1/18 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))
Outputs
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* 4/9 (pow x 4))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 4/9 (* -1/324 (pow x 4))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 4/9 (* (pow x 4) (- (* 1/4860 (pow x 2)) 1/324))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 4/9 (* (pow x 4) (- (* (pow x 2) (+ 1/4860 (* -1/291600 (pow x 2)))) 1/324))))))
#s(approx (* (* (* x x) 2/3) (* (* x x) 2/3)) #s(hole binary64 (* 4/9 (pow x 4))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* 1/324 (pow x 8))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 1/324 (* -1/4860 (pow x 2))))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 1/324 (* (pow x 2) (- (* 1/291600 (pow x 2)) 1/4860))))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/540 (pow x 2)) 1/18))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* -1/18 x)))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* x (- (* 1/540 (pow x 2)) 1/18))))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 -1/18))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 (- (* 1/540 (pow x 2)) 1/18)))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* -1/48 (pow x 3))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/48))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (* -1/48 (pow x 2))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/48))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* 1/540 (pow x 6))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* -1/291600 (pow x 12))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* 1/4860 (/ 1 (pow x 2))) 1/291600))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* 1/4860 (/ 1 (pow x 2))) (+ 1/291600 (/ 1/324 (pow x 4)))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (+ (* 1/4860 (/ 1 (pow x 2))) (* 4/9 (/ 1 (pow x 8)))) (+ 1/291600 (/ 1/324 (pow x 4)))))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* 1/291600 (pow x 12))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (- 1/291600 (* 1/4860 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (- (+ 1/291600 (/ 1/324 (pow x 4))) (* 1/4860 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* 1/540 (pow x 6))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* 1/540 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* 1/540 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 (* 1/540 (pow x 2))))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 (* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* -1/540 (pow x 6))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (- (* 1/18 (/ 1 (pow x 2))) 1/540))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (- (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))) 1/540))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/48 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* (+ (* -1/48 (* x x)) 1/2) x) (+ (* -1/48 (* x x)) 1/2) -1/48 (* x x) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) 2/3 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 1 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* (+ (* (* x x) 1/540) -1/18) x) (+ (* (* x x) 1/540) -1/18) 1/540 -1/18 (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))))
5.0ms
x
@-inf
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* (+ (* -1/48 (* x x)) 1/2) x) (+ (* -1/48 (* x x)) 1/2) -1/48 (* x x) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) 2/3 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 1 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* (+ (* (* x x) 1/540) -1/18) x) (+ (* (* x x) 1/540) -1/18) 1/540 -1/18 (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))))
4.0ms
x
@0
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* (+ (* -1/48 (* x x)) 1/2) x) (+ (* -1/48 (* x x)) 1/2) -1/48 (* x x) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 4/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) 2/3 (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 1 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* (+ (* (* x x) 1/540) -1/18) x) (+ (* (* x x) 1/540) -1/18) 1/540 -1/18 (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))))

rewrite262.0ms (7.6%)

Memory
1.1MiB live, 314.6MiB allocated; 124ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04323753
04933074
120193074
083243008
Stop Event
iter-limit
node-limit
iter-limit
Counts
166 → 352
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal -1/48 binary64)
(*.f64 x x)
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64))
#s(literal 1/540 binary64)
#s(literal -1/18 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* 4/9 (pow x 4))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 4/9 (* -1/324 (pow x 4))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 4/9 (* (pow x 4) (- (* 1/4860 (pow x 2)) 1/324))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 4) (+ 4/9 (* (pow x 4) (- (* (pow x 2) (+ 1/4860 (* -1/291600 (pow x 2)))) 1/324))))))
#s(approx (* (* (* x x) 2/3) (* (* x x) 2/3)) #s(hole binary64 (* 4/9 (pow x 4))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* 1/324 (pow x 8))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 1/324 (* -1/4860 (pow x 2))))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 8) (+ 1/324 (* (pow x 2) (- (* 1/291600 (pow x 2)) 1/4860))))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/540 (pow x 2)) 1/18))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* -1/18 x)))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* x (- (* 1/540 (pow x 2)) 1/18))))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 -1/18))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 (- (* 1/540 (pow x 2)) 1/18)))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* -1/48 (pow x 3))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/48))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (* -1/48 (pow x 2))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/48))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2))))
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* 1/540 (pow x 6))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 6) (- (+ 1/540 (/ 2/3 (pow x 4))) (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* -1/291600 (pow x 12))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* 1/4860 (/ 1 (pow x 2))) 1/291600))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (* 1/4860 (/ 1 (pow x 2))) (+ 1/291600 (/ 1/324 (pow x 4)))))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) #s(hole binary64 (* (pow x 12) (- (+ (* 1/4860 (/ 1 (pow x 2))) (* 4/9 (/ 1 (pow x 8)))) (+ 1/291600 (/ 1/324 (pow x 4)))))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* 1/291600 (pow x 12))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (- 1/291600 (* 1/4860 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 12) (- (+ 1/291600 (/ 1/324 (pow x 4))) (* 1/4860 (/ 1 (pow x 2)))))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* 1/540 (pow x 6))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) #s(hole binary64 (* (pow x 6) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* 1/540 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) #s(hole binary64 (* (pow x 4) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* 1/540 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* (pow x 3) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 (* 1/540 (pow x 2))))
#s(approx (+ (* (* x x) 1/540) -1/18) #s(hole binary64 (* (pow x 2) (- 1/540 (* 1/18 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* -1/540 (pow x 6))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (- (* 1/18 (/ 1 (pow x 2))) 1/540))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) #s(hole binary64 (* (pow x 6) (- (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2)))) 1/540))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/48 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/18 (/ 1 (pow x 2))) 1/540)))))
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
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#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/540 binary64)))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (/ (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/540 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/291600 binary64)))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4860 binary64)) #s(literal 1/291600 binary64)) (pow.f64 x #s(literal 12 binary64))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4860 binary64)) #s(literal 1/291600 binary64)) (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 12 binary64))))
#s(approx (- (* (* (* x x) 2/3) (* (* x x) 2/3)) (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)))) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 4/9 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4860 binary64))) #s(literal 1/291600 binary64)) (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 12 binary64))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/291600 binary64)))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (*.f64 (-.f64 #s(literal 1/291600 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4860 binary64))) (pow.f64 x #s(literal 12 binary64))))
#s(approx (* (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/291600 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4860 binary64))) (pow.f64 x #s(literal 12 binary64))))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/540 binary64)))
#s(approx (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)))))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/540 binary64)))
#s(approx (* (* (+ (* (* x x) 1/540) -1/18) x) x) (*.f64 (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/540 binary64)))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) (*.f64 (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* x x) 1/540) -1/18) (*.f64 (*.f64 x x) #s(literal 1/540 binary64)))
#s(approx (+ (* (* x x) 1/540) -1/18) (*.f64 (-.f64 #s(literal 1/540 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64))) (*.f64 x x)))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/540 binary64)))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)) #s(literal 1/540 binary64))))
#s(approx (- (* (* x x) 2/3) (* (* (* (+ (* (* x x) 1/540) -1/18) x) x) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/540 binary64))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (* x x) 1/540) -1/18) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/18 binary64)) #s(literal 1/540 binary64)) (pow.f64 x #s(literal 3 binary64)))))

eval72.0ms (2.1%)

Memory
39.7MiB live, 128.3MiB allocated; 26ms collecting garbage
Compiler

Compiled 39 624 to 3 215 computations (91.9% saved)

prune64.0ms (1.9%)

Memory
-21.9MiB live, 79.1MiB allocated; 51ms collecting garbage
Pruning

41 alts after pruning (31 fresh and 10 done)

PrunedKeptTotal
New60113614
Fresh21820
Picked325
Done088
Total60641647
Accuracy
99.8%
Counts
647 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
79.5%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
50.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
55.4%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
32.7%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
38.6%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
16.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
16.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
16.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
32.6%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
33.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
32.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
33.2%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
19.1%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
79.6%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
79.6%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
50.5%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
52.9%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
33.7%
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
52.9%
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
52.9%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
75.0%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
58.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
52.4%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
52.9%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
30.9%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) x)))))
2.3%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
58.3%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
51.9%
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
52.4%
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
3.4%
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
32.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
52.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
30.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
53.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 2 954 to 1 029 computations (65.2% saved)

regimes35.0ms (1%)

Memory
11.8MiB live, 57.4MiB allocated; 5ms collecting garbage
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) x)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) x)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
Calls

2 calls:

17.0ms
x
14.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
99.3%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes29.0ms (0.8%)

Memory
6.6MiB live, 52.4MiB allocated; 3ms collecting garbage
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) x)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) x)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
Calls

2 calls:

15.0ms
x
11.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.3%3(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
99.3%2x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes18.0ms (0.5%)

Memory
-22.0MiB live, 30.2MiB allocated; 8ms collecting garbage
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) x)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) x)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes41.0ms (1.2%)

Memory
-16.4MiB live, 29.0MiB allocated; 5ms collecting garbage
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) x))) x)) (sin.f64 x))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) x)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) (sin.f64 x))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) (sin.f64 x))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes21.0ms (0.6%)

Memory
-5.2MiB live, 41.1MiB allocated; 2ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) #s(approx (* (+ (* -1/6 (* x x)) 1) x) x)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 #s(approx (+ (* -1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)))))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/540 binary64) #s(literal -1/18 binary64)) x) x) (*.f64 x x))))) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(approx (* (sin (* x 1/2)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)))) (sin.f64 x))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (sin x) x))))
Calls

2 calls:

10.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
9.0ms
x
Results
AccuracySegmentsBranch
58.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
58.3%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x))
(*.f64 (/.f64 #s(approx (pow (sin (* x 1/2)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) x))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
Calls

2 calls:

5.0ms
x
5.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
58.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
58.3%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes35.0ms (1%)

Memory
-30.7MiB live, 15.9MiB allocated; 3ms collecting garbage
Accuracy

Total -32.4b remaining (-107.7%)

Threshold costs -32.4b (-107.7%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 #s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64)) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin 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)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Calls

2 calls:

30.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
53.1%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
53.1%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch5.0ms (0.2%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
2.5503750437973907e-29
3.931895395438273e-27
Samples
2.0ms48×0valid
Compiler

Compiled 112 to 93 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sin: 1.0ms (68.9% of total)
ival-mult!: 1.0ms (68.9% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
2.2744522809610788e-39
4.015509458354369e-36
Samples
1.0ms16×0valid
Compiler

Compiled 50 to 41 computations (18% saved)

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

bsearch14.0ms (0.4%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.0008619580481696522
37.32940749497342
Samples
7.0ms128×0valid
Compiler

Compiled 379 to 279 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 2.0ms (42.6% of total)
ival-mult!: 2.0ms (42.6% of total)
ival-div!: 1.0ms (21.3% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0008619580481696522
37.32940749497342
Compiler

Compiled 379 to 279 computations (26.4% saved)

derivations289.0ms (8.4%)

Memory
-9.9MiB live, 281.8MiB allocated; 79ms collecting garbage
Stop Event
fuel
Compiler

Compiled 238 to 67 computations (71.8% saved)

preprocess173.0ms (5%)

Memory
16.9MiB live, 199.3MiB allocated; 27ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 1 016 to 518 computations (49% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...