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

Time bar (total: 4.9s)

start0.0ms (0%)

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

analyze323.0ms (6.5%)

Memory
-48.5MiB live, 388.4MiB allocated; 132ms 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)

sample1.6s (32.6%)

Memory
70.2MiB live, 2 084.8MiB allocated; 460ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 847.0ms
ival-sin: 405.0ms (47.8% of total)
ival-mult: 261.0ms (30.8% of total)
ival-div: 157.0ms (18.5% of total)
exact: 12.0ms (1.4% of total)
ival-true: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain260.0ms (5.2%)

Memory
17.6MiB live, 500.9MiB allocated; 40ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
610-3(-1.9919302586988377e-161)(/.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))))
0126(2.8927055841767805e+175)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)))sensitivity1260
/.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/n580
(*.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))))underflow58
Confusion
Predicted +Predicted -
+583
-12669
Precision
0.31521739130434784
Recall
0.9508196721311475
Confusion?
Predicted +Predicted MaybePredicted -
+5803
-126069
Precision?
0.31521739130434784
Recall?
0.9508196721311475
Freqs
test
numberfreq
072
1184
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
131.0ms512×0valid
Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-sin: 91.0ms (82.2% of total)
ival-mult: 10.0ms (9% of total)
ival-div: 8.0ms (7.2% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess296.0ms (6%)

Memory
-41.0MiB live, 277.3MiB allocated; 121ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
13129
210128
337128
490728
5196128
6400628
7797428
01114
01914
12614
24014
38314
418614
539814
682314
7200914
8602514
0801014
Stop Event
iter limit
node limit
iter limit
node limit
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))
Outputs
(/.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 -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.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))
Compiler

Compiled 16 to 11 computations (31.3% saved)

series30.0ms (0.6%)

Memory
3.0MiB live, 55.0MiB allocated; 10ms 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
25.0ms
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))
3.0ms
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))

simplify147.0ms (3%)

Memory
-25.0MiB live, 208.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144467
1409467
21093461
34403461
08117431
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
#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
#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)) (*.f64 #s(literal 2/3 binary64) 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)) (*.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)) #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)) (*.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)) #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))) (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))) #s(hole binary64 (* 2/3 (pow x 2))))
#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))) #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))) (*.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))) #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))) (*.f64 (*.f64 (fma.f64 (fma.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))) #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))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #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))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) 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))) (*.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))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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 (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (fma.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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (fma.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 (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
#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))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#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))) (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))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#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)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (sin x) (sin.f64 x))

rewrite53.0ms (1.1%)

Memory
14.8MiB live, 106.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
01945
12939
28139
036039
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
11 → 48
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
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 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))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (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)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (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 (*.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)))
(*.f64 (*.f64 #s(literal 8/3 binary64) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)))
(*.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)) (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))))
(*.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)) (neg.f64 (*.f64 #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 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(neg.f64 (*.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)
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (neg.f64 x)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 x)
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))

eval17.0ms (0.3%)

Memory
-6.9MiB live, 43.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 709 to 294 computations (82.8% saved)

prune18.0ms (0.4%)

Memory
-0.2MiB live, 43.2MiB allocated; 6ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New721789
Fresh000
Picked101
Done000
Total731790
Accuracy
99.6%
Counts
90 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
77.4%
(/.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))
30.1%
(/.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)))) #s(approx (sin x) x))
29.6%
(/.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 (fma.f64 (fma.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))) (sin.f64 x))
29.7%
(/.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))
77.4%
(/.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))
29.6%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
29.4%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
29.7%
(/.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))
28.7%
(/.f64 #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)) (sin.f64 x))
30.3%
(/.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))
77.5%
(*.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)))
77.4%
(*.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))
99.1%
(*.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)))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.3%
#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))
51.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 682 to 500 computations (26.7% saved)

series28.0ms (0.6%)

Memory
8.3MiB live, 43.8MiB allocated; 16ms collecting garbage
Counts
34 → 95
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #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 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 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))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 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)))) (sin.f64 x))
(*.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 (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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))
(*.f64 (fma.f64 (fma.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)
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64))
(fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64))
#s(literal -1/241920 binary64)
(*.f64 x x)
#s(literal 1/1440 binary64)
#s(literal -1/18 binary64)
(/.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 x))) (sin (* 1/2 x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 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 x))) (sin (* 1/2 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)) (/ 8/3 (sin x))) #s(hole binary64 4/3))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (sin (* 1/2 x)) (/ 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 (* 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 x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 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 (* 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 (* (/ 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 (* 4/3 x) #s(hole binary64 (* 4/3 x)))
#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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* 4/3 x)))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* -1/18 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 -1/18))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/18)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 1/1440))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (+ 1/1440 (* -1/241920 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x))) (sin (* 1/2 x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (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 (* (/ 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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1/241920 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* -1/241920 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* -1/241920 (pow x 4))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (* -1/241920 (pow x 2))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (* (pow x 2) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ 8/3 (sin x)) 8/3 (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))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (sin (* x 1/2)) (* x 1/2) (/ (* (* (/ 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))) (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (+ (* -1/241920 (* x x)) 1/1440) -1/241920 (* x x) 1/1440 -1/18 (/ (* (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)
5.0ms
x
@-inf
((* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ 8/3 (sin x)) 8/3 (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))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (sin (* x 1/2)) (* x 1/2) (/ (* (* (/ 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))) (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (+ (* -1/241920 (* x x)) 1/1440) -1/241920 (* x x) 1/1440 -1/18 (/ (* (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 x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ 8/3 (sin x)) 8/3 (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))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) 4/3 (sin (* x 1/2)) (* x 1/2) (/ (* (* (/ 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))) (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (+ (* -1/241920 (* x x)) 1/1440) -1/241920 (* x x) 1/1440 -1/18 (/ (* (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)

simplify244.0ms (4.9%)

Memory
17.4MiB live, 250.7MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03152087
18042042
228102033
372612033
080201892
Stop Event
iter limit
node limit
Counts
95 → 95
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 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 x))) (sin (* 1/2 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)) (/ 8/3 (sin x))) #s(hole binary64 4/3))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (sin (* 1/2 x)) (/ 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 (* 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 x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 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 (* 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 (* (/ 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 (* 4/3 x) #s(hole binary64 (* 4/3 x)))
#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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* 4/3 x)))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* -1/18 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 -1/18))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/18)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 1/1440))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (+ 1/1440 (* -1/241920 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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 x))) (sin (* 1/2 x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (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 (* (/ 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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1/241920 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* -1/241920 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* -1/241920 (pow x 4))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (* -1/241920 (pow x 2))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (* (pow x 2) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))))))))
Outputs
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 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)) (*.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 (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 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) (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)) (/ 8/3 (sin x))) #s(hole binary64 4/3))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (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 (* (sin (* 1/2 x)) (/ 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 (* 1/2 x)) (/ 8/3 (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 (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (sin (* 1/2 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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)) #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)) (*.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)) #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) (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 (* 2/3 x) #s(hole binary64 (* 2/3 x)))
#s(approx (* 2/3 x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#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 (* (pow (sin (* 1/2 x)) 2) 8/3) (*.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))) #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) (*.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))) #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) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 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))) #s(hole binary64 (* 4/3 x)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) 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))) (*.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))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#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))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)))
#s(approx (* 4/3 x) #s(hole binary64 (* 4/3 x)))
#s(approx (* 4/3 x) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#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 (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#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 (* 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 (sin (* 1/2 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* 4/3 x)))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 #s(literal 4/3 binary64) x))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.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 (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 4/3))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(literal 4/3 binary64))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* -1/18 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (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)))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 -1/18))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(literal -1/18 binary64))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (- (* 1/1440 (pow x 2)) 1/18)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 1/1440))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(literal 1/1440 binary64))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (+ 1/1440 (* -1/241920 (pow x 2)))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x 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)) (*.f64 #s(literal 2/3 binary64) 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)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#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)) (*.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 (/ (* (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) (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 (* 1/2 x)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#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) (*.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 (* (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) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#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) (*.f64 (*.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)) x) x))
#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 (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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 (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (sin x) (sin.f64 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.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))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#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)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1/241920 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/241920 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* -1/241920 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/241920 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) #s(hole binary64 (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* -1/241920 (pow x 4))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64)))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) #s(hole binary64 (* (pow x 4) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (* -1/241920 (pow x 2))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) (*.f64 #s(literal -1/241920 binary64) (*.f64 x x)))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) #s(hole binary64 (* (pow x 2) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))))
#s(approx (+ (* -1/241920 (* x x)) 1/1440) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/241920 binary64)) x) 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) (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 (* (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) 8/3) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (+.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal -1/241920 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (+.f64 (/.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal -1/241920 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* (+ (* -1/241920 (* x x)) 1/1440) (* x x)) -1/18) (* x x)) 4/3) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal -1/241920 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64))))

rewrite113.0ms (2.3%)

Memory
-7.8MiB live, 95.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043286
069286
1180280
0840280
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
34 → 196
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #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 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 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))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 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)))) (sin.f64 x))
(*.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 (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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))
(*.f64 (fma.f64 (fma.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)
(fma.f64 (fma.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))
(fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64))
(fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64))
#s(literal -1/241920 binary64)
(*.f64 x x)
#s(literal 1/1440 binary64)
#s(literal -1/18 binary64)
(/.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
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 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 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 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)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
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#s(literal 2 binary64)

eval103.0ms (2.1%)

Memory
11.3MiB live, 138.9MiB allocated; 44ms collecting garbage
Compiler

Compiled 11 502 to 1 558 computations (86.5% saved)

prune54.0ms (1.1%)

Memory
19.1MiB live, 150.3MiB allocated; 32ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New34321364
Fresh11112
Picked235
Done000
Total35625381
Accuracy
99.8%
Counts
381 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
30.1%
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
51.6%
(/.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))
21.3%
(/.f64 (*.f64 (+.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 8/3 binary64)) (sin.f64 x))
47.0%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
28.7%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2 binary64)) #s(literal 16/9 binary64)) x) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 4/3 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
28.7%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (+.f64 #s(literal 64/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
29.7%
(/.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))
33.5%
(/.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))
28.7%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
30.3%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
77.5%
(*.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)))
77.4%
(*.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 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.1%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
51.4%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))
70.7%
(*.f64 (*.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))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.4%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
51.8%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.4%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
55.2%
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.2%
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
51.3%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
51.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 998 to 696 computations (30.3% saved)

series41.0ms (0.8%)

Memory
6.9MiB live, 55.5MiB allocated; 35ms collecting garbage
Counts
31 → 76
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (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))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) 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 x) x)
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.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(literal 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))
(*.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 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
Outputs
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 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)) (sin (* 1/2 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)) #s(hole binary64 4/3))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (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))) #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 (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 (/ (* (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 (* (+ (* (* 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 (* (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 (* (+ (* -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 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #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)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#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)))
#s(approx (sin (* 1/2 x)) #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 (* (+ (* (* 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 (* (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 (* (+ (* -1/48 (* 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 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/48 (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
((* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (* 8/3 (sin (* x 1/2))) 8/3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (sin (* 1/2 x)) (* 1/2 x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (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 (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) (sin (* 1/2 x)) (* (+ (* -1/48 (* x x)) 1/2) x) (+ (* -1/48 (* x x)) 1/2) -1/48 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)))
3.0ms
x
@inf
((* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (* 8/3 (sin (* x 1/2))) 8/3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (sin (* 1/2 x)) (* 1/2 x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (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 (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) (sin (* 1/2 x)) (* (+ (* -1/48 (* x x)) 1/2) x) (+ (* -1/48 (* x x)) 1/2) -1/48 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)))
2.0ms
x
@0
((* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (/ (* 8/3 (sin (* x 1/2))) (sin x)) (* 8/3 (sin (* x 1/2))) 8/3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (sin (* 1/2 x)) (* 1/2 x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (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 (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) (sin (* 1/2 x)) (* (+ (* -1/48 (* x x)) 1/2) x) (+ (* -1/48 (* x x)) 1/2) -1/48 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) (/ (sin (* x 1/2)) (sin x)))

simplify216.0ms (4.4%)

Memory
-16.6MiB live, 317.7MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02651388
17161337
226351336
366751336
082021259
Stop Event
iter limit
node limit
Counts
76 → 76
Calls
Call 1
Inputs
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 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)) (sin (* 1/2 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)) #s(hole binary64 4/3))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (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))) #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 (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 (/ (* (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 (* (+ (* (* 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 (* (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 (* (+ (* -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 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #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)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#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)))
#s(approx (sin (* 1/2 x)) #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 (* (+ (* (* 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 (* (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 (* (+ (* -1/48 (* 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 (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/48 (* 1/2 (/ 1 (pow x 2))))))))
Outputs
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 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)) (sin (* 1/2 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)) (sin (* 1/2 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)) (sin (* 1/2 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)) (sin (* 1/2 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)) #s(hole binary64 4/3))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64)))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (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 (* x 1/2))) (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)) (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 (* 8/3 (sin (* x 1/2))) #s(hole binary64 (* 4/3 x)))
#s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) 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))) (*.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))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#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))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* 8/3 (sin (* x 1/2))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x)))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (sin (* x 1/2)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#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 (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#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 (* 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 (sin (* x 1/2)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 #s(literal 2/3 binary64) 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 (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#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 (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 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 (/ (* (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 (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 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) #s(hole binary64 (* 2/3 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) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#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(hole binary64 2/3))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2)))))
#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) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#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) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#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) (*.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 (* (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) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#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) (*.f64 (*.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)) x) x))
#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 (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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 (* (+ (* -1/48 (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/48 (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) 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) x) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/48 (pow x 2)))))
#s(approx (+ (* -1/48 (* x x)) 1/2) (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #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)) (sin (* 1/2 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)) (sin x)) (* 8/3 (sin (* x 1/2)))) #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)) (sin (* 1/2 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 (* x 1/2)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* x 1/2)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* x 1/2)) (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 (* x 1/2)) (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 1/2)) (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 (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* 8/3 (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
#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) 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(hole binary64 (* 1/18 (pow x 2))))
#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) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))))
#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 (* (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) 8/3) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
#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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)))
#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) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (* -1/48 (pow x 2))))
#s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 #s(literal -1/48 binary64) (*.f64 x x)))
#s(approx (+ (* -1/48 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/48))))
#s(approx (+ (* -1/48 (* x x)) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) x) x))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* 8/3 (sin (* x 1/2)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (* 8/3 (sin (* x 1/2))) (sin x)) (sin (* 1/2 x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (/ (sin (* x 1/2)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#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 (* (+ (* -1/48 (* x x)) 1/2) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1/48 binary64)) (pow.f64 x #s(literal 3 binary64))))

rewrite56.0ms (1.1%)

Memory
-4.4MiB live, 100.5MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037220
062220
1157214
0695214
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 212
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (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))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(approx (sin x) 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 x) x)
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.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(literal 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))
(*.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 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (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)) (/.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 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (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 (/.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)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.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)
(*.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)
(*.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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) (*.f64 x #s(literal 2/3 binary64)))
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(fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/48 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/48 binary64) x)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/48 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))
(+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 x x)))
#s(literal -1/48 binary64)
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)) (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)) (/.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 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (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 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))

eval54.0ms (1.1%)

Memory
33.3MiB live, 79.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 409 to 1 165 computations (84.3% saved)

prune73.0ms (1.5%)

Memory
8.9MiB live, 102.5MiB allocated; 10ms collecting garbage
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New32416340
Fresh71017
Picked235
Done033
Total33332365
Accuracy
99.8%
Counts
365 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.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))
4.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
21.3%
(/.f64 (*.f64 (+.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 8/3 binary64)) (sin.f64 x))
30.1%
(/.f64 (*.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))) #s(approx (sin x) x))
47.0%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
28.8%
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
29.3%
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
29.7%
(/.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))
33.5%
(/.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))
28.8%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
28.7%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.3%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
30.3%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
29.7%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
77.5%
(*.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)))
30.1%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
77.4%
(*.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))
70.6%
(*.f64 (/.f64 (*.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 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.2%
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.1%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
51.4%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))
51.4%
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.4%
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.2%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.4%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
55.2%
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
30.1%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (sin x) x)))
50.6%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
50.8%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
51.3%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
51.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 152 to 868 computations (24.7% saved)

series15.0ms (0.3%)

Memory
-15.5MiB live, 29.3MiB allocated; 6ms collecting garbage
Counts
32 → 94
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.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)
#s(literal 8/3 binary64)
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (sin x) 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))
(*.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))
(-.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))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
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)) (sin (* 1/2 x))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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 (/ (* (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 (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#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) #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 (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 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 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 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 (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #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 (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 1))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* x 1/2)) #s(hole binary64 x))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#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)) (sin (* 1/2 x))) #s(hole binary64 (/ (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 (/ (* (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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#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) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((* (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) 8/3) (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) 8/3 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (* x x) 2/3) (* x x) 2/3 (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) (* x 1/2))
4.0ms
x
@inf
((* (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) 8/3) (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) 8/3 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (* x x) 2/3) (* x x) 2/3 (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) (* x 1/2))
4.0ms
x
@-inf
((* (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) 8/3) (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) 8/3 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (* x x) 2/3) (* x x) 2/3 (sin x) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (* (+ (* -1/18 (* x x)) 2/3) x) (+ (* -1/18 (* x x)) 2/3) -1/18 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) 2 (/ 8/3 (sin x)) (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (* 1/2 (cos (* 2 (* x 1/2)))) (cos (* 2 (* x 1/2))) (* 2 (* x 1/2)) (* x 1/2))

simplify134.0ms (2.7%)

Memory
29.8MiB live, 214.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03251789
18551683
232031682
081941574
Stop Event
iter limit
node limit
Counts
94 → 94
Calls
Call 1
Inputs
#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)) (sin (* 1/2 x))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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 (/ (* (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 (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#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) #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 (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 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 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 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 (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #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 (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 1))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* 2 (* x 1/2)) #s(hole binary64 x))
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#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)) (sin (* 1/2 x))) #s(hole binary64 (/ (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 (/ (* (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 (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#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) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (cos x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))
Outputs
#s(approx (* (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) 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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (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 (* 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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (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)) (sin (* 1/2 x))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 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 (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 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 (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64))
#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)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#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)) (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)) #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)) (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 (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#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)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (sin (* 1/2 x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x #s(hole binary64 x))
#s(approx (* 2 (* x 1/2)) x)
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) x)
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.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 (/ (* (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))) (*.f64 #s(literal 2/3 binary64) 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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#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))) (*.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 (/ (* (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 (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 (* 1/2 x)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#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) (*.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 (* (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) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* x x) 2/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* 2/3 x)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* x (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 2/3))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (+ 2/3 (* -1/18 (pow x 2)))))
#s(approx (+ (* -1/18 (* x x)) 2/3) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
#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))) (*.f64 #s(literal 2/3 binary64) 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))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#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))) (*.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 (* (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 (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 (* 1/2 x)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))
#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) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#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) (*.f64 (*.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)) x) x))
#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 (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x)))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x)))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)))
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* 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 (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (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 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (*.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 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 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 (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (*.f64 (*.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)) x) x))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #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 (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 1))
#s(approx (cos (* 2 (* x 1/2))) #s(literal 1 binary64))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (* 2 (* x 1/2))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (* 2 (* x 1/2))) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos (* 2 (* x 1/2))) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 2 (* x 1/2)) #s(hole binary64 x))
#s(approx (* 2 (* x 1/2)) x)
#s(approx (* x 1/2) #s(hole binary64 (* 1/2 x)))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#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 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) #s(hole binary64 (/ (pow (sin (* 1/2 x)) 2) (sin x))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (sin x) (sin.f64 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 (sin x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#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) 8/3) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* -1/18 (pow x 4))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/18 binary64)))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) #s(hole binary64 (* (pow x 4) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1/18 (pow x 3))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64)))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64))))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* -1/18 (pow x 2))))
#s(approx (+ (* -1/18 (* x x)) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x)))
#s(approx (+ (* -1/18 (* x x)) 2/3) #s(hole binary64 (* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))))
#s(approx (+ (* -1/18 (* x x)) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) 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 (sin x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
#s(approx (pow (sin (* 1/2 x)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x))))))
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(hole binary64 (* 1/2 (cos x))))
#s(approx (* 1/2 (cos (* 2 (* x 1/2)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 (* x 1/2))) #s(hole binary64 (cos x)))
#s(approx (cos (* 2 (* x 1/2))) (cos.f64 x))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* -1/18 (* x x)) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (pow.f64 x #s(literal 3 binary64))))

rewrite66.0ms (1.3%)

Memory
-0.8MiB live, 89.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037242
061224
1165218
0802218
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
32 → 270
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.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)
#s(literal 8/3 binary64)
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
#s(literal 2/3 binary64)
#s(approx (sin x) x)
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
#s(literal -1/18 binary64)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (sin x) 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))
(*.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))
(-.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))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 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 #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 (/.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))) (sin.f64 x)) (*.f64 #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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (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))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (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
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 (neg.f64 (neg.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 #s(approx (sin x) x))))
(/.f64 (neg.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) (neg.f64 #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) #s(approx (sin x) x))
(neg.f64 (/.f64 (neg.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))) #s(approx (sin x) x)))
(neg.f64 (/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) (neg.f64 #s(approx (sin x) x))))
#s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 2/3 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/3 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
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#s(literal 2 binary64)
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eval102.0ms (2.1%)

Memory
-5.8MiB live, 96.8MiB allocated; 55ms collecting garbage
Compiler

Compiled 8 824 to 1 431 computations (83.8% saved)

prune48.0ms (1%)

Memory
14.1MiB live, 102.5MiB allocated; 15ms collecting garbage
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New37421395
Fresh111021
Picked235
Done246
Total38938427
Accuracy
99.9%
Counts
427 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
51.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))))) #s(literal 8/3 binary64)) (sin.f64 x))
4.2%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
51.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
51.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
21.3%
(/.f64 (*.f64 (+.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 8/3 binary64)) (sin.f64 x))
47.0%
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
51.6%
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
33.5%
(/.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))
28.8%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
28.7%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.0%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
28.9%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
29.3%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
30.3%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
30.3%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
29.7%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
29.7%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
27.5%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
15.9%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64))))) (sin.f64 x))
4.7%
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
77.5%
(*.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)))
77.4%
(*.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))
51.6%
(*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
70.6%
(*.f64 (/.f64 (*.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 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.2%
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.5%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
99.2%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
28.8%
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
29.3%
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
29.7%
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
55.2%
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
50.6%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
50.8%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
51.3%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
51.7%
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
51.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 2 498 to 1 011 computations (59.5% saved)

regimes154.0ms (3.1%)

Memory
-20.0MiB live, 77.6MiB allocated; 27ms collecting garbage
Counts
76 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (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)) #s(approx (sin x) x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #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)) #s(approx (sin x) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.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))) #s(approx (sin x) x))
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 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))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 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 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (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 (fma.f64 (fma.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))) (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 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64))
(*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.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 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 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)))) (sin.f64 x))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2 binary64)) #s(literal 16/9 binary64)) x) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 4/3 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (/.f64 (*.f64 (+.f64 #s(literal 64/27 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.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))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (*.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 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 (*.f64 (+.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 8/3 binary64)) (sin.f64 x))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

62.0ms
(/.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))
18.0ms
x
Results
AccuracySegmentsBranch
99.2%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))
99.2%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes51.0ms (1%)

Memory
7.3MiB live, 50.6MiB allocated; 12ms collecting garbage
Counts
57 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (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)) #s(approx (sin x) x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #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)) #s(approx (sin x) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.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))) #s(approx (sin x) x))
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 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))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 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 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (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 (fma.f64 (fma.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))) (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 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
Outputs
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
Calls

2 calls:

34.0ms
(/.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))
14.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%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))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes43.0ms (0.9%)

Memory
-27.7MiB live, 76.5MiB allocated; 25ms collecting garbage
Counts
56 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (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)) #s(approx (sin x) x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #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)) #s(approx (sin x) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.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))) #s(approx (sin x) x))
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 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))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 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 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (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 (fma.f64 (fma.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))) (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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 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)))
Calls

2 calls:

20.0ms
(/.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))
20.0ms
x
Results
AccuracySegmentsBranch
99.4%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))
99.4%2x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.3%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Counts
53 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (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)) #s(approx (sin x) x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #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)) #s(approx (sin x) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.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))) #s(approx (sin x) x))
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 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))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 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 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (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 (fma.f64 (fma.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))) (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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 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))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes33.0ms (0.7%)

Memory
-10.9MiB live, 34.5MiB allocated; 9ms collecting garbage
Counts
51 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (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)) #s(approx (sin x) x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #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)) #s(approx (sin x) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.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))) #s(approx (sin x) x))
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 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))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 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 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.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)) (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 (fma.f64 (fma.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))) (sin.f64 x))
Outputs
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.4%)

Memory
-4.7MiB live, 40.4MiB allocated; 5ms 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (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)) #s(approx (sin x) x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #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)) #s(approx (sin x) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(approx (* 8/3 (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.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 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(approx (sin (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.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))) #s(approx (sin x) x))
(/.f64 (*.f64 (pow.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(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 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))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) #s(approx (* (* (+ (* -1/18 (* x x)) 2/3) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 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 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #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))
Outputs
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.4%)

Memory
10.6MiB live, 56.1MiB allocated; 4ms collecting garbage
Counts
28 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (/ (* 8/3 (sin (* x 1/2))) (sin x)) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* x 1/2)))) #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 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(approx (+ (* -1/18 (* x x)) 2/3) #s(literal 2/3 binary64)) x) x)) (sin.f64 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)))) #s(approx (sin x) x))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #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)) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.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 (*.f64 x x) #s(literal 2/3 binary64)))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.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(literal 8/3 binary64)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x))
Outputs
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

10.0ms
x
7.0ms
(/.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
55.2%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))
55.2%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes18.0ms (0.4%)

Memory
-39.7MiB live, 16.6MiB allocated; 6ms collecting garbage
Accuracy

Total -14.8b remaining (-47.7%)

Threshold costs -14.8b (-47.7%)

Counts
9 → 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))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) #s(approx (sin x) x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) #s(approx (sin x) x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x)))
(/.f64 (*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (sin x) 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:

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))
3.0ms
x
Results
AccuracySegmentsBranch
51.6%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))
51.6%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
1.7718472345693297e-9
7.037316542129351e-5
Samples
1.0ms16×0valid
Compiler

Compiled 68 to 55 computations (19.1% saved)

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

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
1.7718472345693297e-9
7.037316542129351e-5
Compiler

Compiled 68 to 55 computations (19.1% saved)

bsearch19.0ms (0.4%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
7.037316542129351e-5
5.509477528448975
Samples
10.0ms144×0valid
Compiler

Compiled 595 to 474 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.3% of total)
ival-mult: 2.0ms (28.3% of total)
ival-sin: 2.0ms (28.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
7.037316542129351e-5
5.509477528448975
Compiler

Compiled 532 to 420 computations (21.1% saved)

simplify62.0ms (1.3%)

Memory
-13.9MiB live, 77.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081294
1133294
2244294
3561294
41513294
56332294
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(if (<=.f64 x #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 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))))
(if (<=.f64 x #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 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)))
(if (<=.f64 x #s(literal 4438747792736361/1152921504606846976 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) #s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))))
(if (<=.f64 x #s(literal 4438747792736361/1152921504606846976 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) #s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(if (<=.f64 x #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 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))))
(if (<=.f64 x #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 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)))
(if (<=.f64 x #s(literal 4438747792736361/1152921504606846976 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))) #s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))))
(if (<=.f64 x #s(literal 4438747792736361/1152921504606846976 binary64)) #s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))) #s(approx (/ (* (- 1/2 (* 1/2 (cos (* 2 (* x 1/2))))) 8/3) (sin x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

derivations245.0ms (5%)

Memory
-26.6MiB live, 234.3MiB allocated; 104ms collecting garbage
Stop Event
fuel
Compiler

Compiled 294 to 78 computations (73.5% saved)

preprocess158.0ms (3.2%)

Memory
5.7MiB live, 344.9MiB allocated; 29ms collecting garbage
Compiler

Compiled 864 to 356 computations (58.8% saved)

end0.0ms (0%)

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

Profiling

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