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

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze184.0ms (6.5%)

Memory
14.7MiB live, 157.9MiB allocated; 19ms 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)

sample1.2s (41.4%)

Memory
-4.3MiB live, 1 140.4MiB allocated; 106ms collecting garbage
Samples
882.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 632.0ms
ival-sin: 344.0ms (54.4% of total)
ival-mult: 150.0ms (23.7% of total)
ival-div: 119.0ms (18.8% of total)
exact: 13.0ms (2.1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain128.0ms (4.5%)

Memory
-4.2MiB live, 138.5MiB allocated; 4ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-3(1.905263735906201e-160)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
0122(4.6474210687560165e+193)0-(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
00-0-#s(literal 8 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
00-0-(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
00-0-(sin.f64 x)
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (*.f64 x #s(literal 1/2 binary64)))sensitivity1220
/.f64(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))u/n650
(*.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))))underflow65
Confusion
Predicted +Predicted -
+653
-12266
Precision
0.34759358288770054
Recall
0.9558823529411765
Confusion?
Predicted +Predicted MaybePredicted -
+6503
-122066
Precision?
0.34759358288770054
Recall?
0.9558823529411765
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms510×0valid
1.0ms3valid
Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-sin: 24.0ms (57.1% of total)
ival-mult: 9.0ms (21.4% of total)
ival-div: 7.0ms (16.7% of total)
exact: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess188.0ms (6.6%)

Memory
29.4MiB live, 127.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02045
14443
213242
343742
498742
5206242
6412042
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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(/.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)

series9.0ms (0.3%)

Memory
-40.4MiB live, 6.2MiB allocated; 2ms 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
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
@-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))

rewrite185.0ms (6.6%)

Memory
5.5MiB live, 152.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval8.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 500 to 261 computations (82.6% saved)

prune25.0ms (0.9%)

Memory
-16.6MiB live, 30.0MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh000
Picked011
Done000
Total68775
Accuracy
99.6%
Counts
75 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(/.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))
47.9%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
75.2%
(/.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))
75.1%
(*.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)))
75.2%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
Compiler

Compiled 188 to 137 computations (27.1% saved)

series11.0ms (0.4%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
27 → 93
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 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 #s(literal 8/3 binary64) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(*.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))
(*.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 1/2 binary64))
Outputs
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (/ (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)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (pow (sin (* 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 (* (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 (/ 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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (/ (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)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (/ (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 (* (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)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2))
3.0ms
x
@inf
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2))
3.0ms
x
@-inf
((* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 8/3 (/ (sin (* 1/2 x)) (sin x))) 8/3 (/ (sin (* 1/2 x)) (sin x)) (sin x) (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (* (sin (* 1/2 x)) 8/3) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) 2 (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (/ 8/3 (sin x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2))

rewrite74.0ms (2.6%)

Memory
26.8MiB live, 73.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03582183
04042043
018101951
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
120 → 163
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 x)
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
#s(literal 2 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 #s(literal 8/3 binary64) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(*.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))
(*.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 1/2 binary64))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x)))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 4/3))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2)))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (* (/ (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)) 8/3) #s(hole binary64 (* 4/3 x)))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))))
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* 1/4 x)))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))))
#s(approx (pow (sin (* 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 (* (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 (/ 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 (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))))
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x)))))
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (/ (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)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x)))))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) #s(hole binary64 (/ (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 (* (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)) #s(hole binary64 (/ 8/3 (sin x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x)))))
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
#s(literal 8/3 binary64)
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 x)
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 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 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
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#s(approx (pow (sin (* 1/2 x)) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/7680 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/18432 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.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))))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.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))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (*.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))))
#s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
#s(approx (pow (sin (* 1/2 x)) 2) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
#s(approx (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (*.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))))
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (sin x)) (*.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))))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (pow (sin (* 1/2 x)) 1/2) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))

eval37.0ms (1.3%)

Memory
-13.6MiB live, 38.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 6 189 to 687 computations (88.9% saved)

prune172.0ms (6.1%)

Memory
-29.3MiB live, 158.3MiB allocated; 14ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2752277
Fresh101
Picked145
Done011
Total2777284
Accuracy
99.7%
Counts
284 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(/.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))
47.9%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
75.2%
(/.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))
75.1%
(*.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)))
75.2%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
99.3%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
Compiler

Compiled 102 to 74 computations (27.5% saved)

series5.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
13 → 42
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (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))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 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 (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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 (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 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (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 (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (* (pow (sin (* x 1/2)) 2) 8/3) (pow (sin (* x 1/2)) 2) 2)
1.0ms
x
@-inf
((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (* (pow (sin (* x 1/2)) 2) 8/3) (pow (sin (* x 1/2)) 2) 2)
1.0ms
x
@0
((* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) 8/3 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (* (pow (sin (* x 1/2)) 2) 8/3) (pow (sin (* x 1/2)) 2) 2)

rewrite155.0ms (5.5%)

Memory
25.7MiB live, 214.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0201889
0218853
11088853
08265813
Stop Event
iter limit
node limit
iter limit
Counts
55 → 106
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (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))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 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 (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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 (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 (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) #s(hole binary64 (/ (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 (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (pow (sin (* x 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
Outputs
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.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)) (sin.f64 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)))
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.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 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (/.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)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 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))))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.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)) (sin.f64 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)))
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.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 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (*.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #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)) #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 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(-.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)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
#s(literal 2 binary64)
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.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 (* x 1/2)) (sin x)) (sin (* x 1/2))) (*.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 (* x 1/2)) (sin x)) #s(literal 1/2 binary64))
#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)) (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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) x) x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (sin x) x)
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x))
#s(approx (/ (* (pow (sin (* x 1/2)) 2) 8/3) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) 8/3) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) x) x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))
#s(approx (pow (sin (* x 1/2)) 2) (*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x))
#s(approx (pow (sin (* x 1/2)) 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 (* x 1/2)) 2) (*.f64 (fma.f64 (-.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 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (* (pow (sin (* x 1/2)) 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 (* x 1/2)) (sin x)) (sin (* x 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (* (pow (sin (* x 1/2)) 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 (* x 1/2)) 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 (* x 1/2)) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))

eval17.0ms (0.6%)

Memory
-17.9MiB live, 28.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 300 to 429 computations (81.3% saved)

prune49.0ms (1.7%)

Memory
27.7MiB live, 73.8MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New1263129
Fresh000
Picked112
Done055
Total1279136
Accuracy
99.7%
Counts
136 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(/.f64 (*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
50.5%
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
47.9%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
75.2%
(/.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))
75.1%
(*.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)))
75.2%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
71.9%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 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)))) #s(literal 8/3 binary64))
99.3%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
Compiler

Compiled 157 to 103 computations (34.4% saved)

series13.0ms (0.5%)

Memory
-25.6MiB live, 21.2MiB allocated; 3ms collecting garbage
Counts
25 → 91
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 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)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 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))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(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)
(*.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 1/2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 8/3 binary64)
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.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))) #s(literal 2 binary64))
Outputs
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 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 (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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 (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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))))
#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 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos (- (* 1/2 x) (* 1/2 x))) #s(hole binary64 1))
#s(approx (- (* 1/2 x) (* 1/2 x)) #s(hole binary64 0))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* 1/2 x) (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (/ (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 (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos x)) (sin x)))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos x)))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos x)))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos (neg (* -1 x)))) (sin x)))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos (neg (* -1 x)))))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos (neg (* -1 x)))))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos (neg (* -1 x))))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos (neg (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) 8/3 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (cos (- (* 1/2 x) (* 1/2 x))) (- (* 1/2 x) (* 1/2 x)) (cos (+ (* 1/2 x) (* 1/2 x))) (+ (* 1/2 x) (* 1/2 x)) 2 (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2))
4.0ms
x
@-inf
((* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) 8/3 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (cos (- (* 1/2 x) (* 1/2 x))) (- (* 1/2 x) (* 1/2 x)) (cos (+ (* 1/2 x) (* 1/2 x))) (+ (* 1/2 x) (* 1/2 x)) 2 (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2))
2.0ms
x
@0
((* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (pow (sin (* 1/2 x)) 1/2) (sin (* 1/2 x)) (* 1/2 x) 8/3 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (cos (- (* 1/2 x) (* 1/2 x))) (- (* 1/2 x) (* 1/2 x)) (cos (+ (* 1/2 x) (* 1/2 x))) (+ (* 1/2 x) (* 1/2 x)) 2 (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2))

rewrite163.0ms (5.8%)

Memory
28.1MiB live, 81.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03592528
04021839
017921763
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
116 → 179
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 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)))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 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))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(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)
(*.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 1/2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 8/3 binary64)
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 (*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.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))) #s(literal 2 binary64))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 2/3 x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 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 (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* 1/4 x)))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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 (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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 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 (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 1/2))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))))
#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 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos (- (* 1/2 x) (* 1/2 x))) #s(hole binary64 1))
#s(approx (- (* 1/2 x) (* 1/2 x)) #s(hole binary64 0))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 1))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (+ (* 1/2 x) (* 1/2 x)) #s(hole binary64 x))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 2/3 x)))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2))))))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 2/3 (pow x 2))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) #s(hole binary64 (/ (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 (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (pow (sin (* 1/2 x)) 1/2) #s(hole binary64 (sqrt (sin (* 1/2 x)))))
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x))))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos x)) (sin x)))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos x)))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos x)))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos x)))
#s(approx (/ (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2))))
#s(approx (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2)))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) #s(hole binary64 (* 4/3 (/ (- 1 (cos (neg (* -1 x)))) (sin x)))))
#s(approx (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) #s(hole binary64 (* 4/3 (- 1 (cos (neg (* -1 x)))))))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) #s(hole binary64 (* 1/2 (- 1 (cos (neg (* -1 x)))))))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) #s(hole binary64 (- 1 (cos (neg (* -1 x))))))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) #s(hole binary64 (cos (neg (* -1 x)))))
Outputs
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 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)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/4 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (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 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 8/3 binary64)
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (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 (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))
(*.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 x #s(literal 1 binary64)))) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
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#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x)))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.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)) (*.f64 x x)))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (fma.f64 (-.f64 (*.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)) (*.f64 x x)))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)))
#s(approx (* (* (/ (sin (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) 8/3) (*.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 (* x 1/2)) (sin x)) (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
#s(approx (/ (sin (* x 1/2)) (sin x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (pow (sin (* 1/2 x)) 1/2) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (cos.f64 x))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 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 (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 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 (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))
#s(approx (* (pow (* (pow (sin (* 1/2 x)) 1/2) (pow (sin (* 1/2 x)) 1/2)) 2) 8/3) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
#s(approx (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos (+ (* 1/2 x) (* 1/2 x))) (cos.f64 x))

eval26.0ms (0.9%)

Memory
-4.6MiB live, 42.7MiB allocated; 1ms collecting garbage
Compiler

Compiled 6 028 to 815 computations (86.5% saved)

prune74.0ms (2.6%)

Memory
0.6MiB live, 95.2MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2202222
Fresh000
Picked123
Done336
Total2247231
Accuracy
99.8%
Counts
231 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(/.f64 (*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
50.5%
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) (cos.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
47.9%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
75.1%
(*.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)))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
71.9%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 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)))) #s(literal 8/3 binary64))
99.5%
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))
Compiler

Compiled 428 to 182 computations (57.5% saved)

regimes14.0ms (0.5%)

Memory
-32.6MiB live, 17.0MiB allocated; 2ms collecting garbage
Accuracy

Total -48.7b remaining (-14495%)

Threshold costs -48.7b (-14495%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 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)))) #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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.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 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 x #s(literal 1 binary64))) (cos.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal 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)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (*.f64 (pow.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))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
Outputs
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))
Calls

2 calls:

10.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
99.5%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))
99.5%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify54.0ms (1.9%)

Memory
11.7MiB live, 59.3MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01923
15422
213422
344722
4368822
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))
Outputs
#s(approx (/ (* (/ (- (cos (- (* 1/2 x) (* 1/2 x))) (cos (+ (* 1/2 x) (* 1/2 x)))) 2) 8/3) (sin x)) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)))

derivations52.0ms (1.8%)

Memory
-14.3MiB live, 33.5MiB allocated; 1ms collecting garbage
Stop Event
fuel
Compiler

Compiled 31 to 20 computations (35.5% saved)

preprocess14.0ms (0.5%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 156 to 102 computations (34.6% saved)

end0.0ms (0%)

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

Profiling

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