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

Time bar (total: 12.3s)

analyze181.0ms (1.5%)

Memory
-2.8MiB live, 361.7MiB allocated
Algorithm
1×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 (9.9%)

Memory
28.7MiB live, 1 852.6MiB allocated
Samples
883.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 708.0ms
ival-sin: 365.0ms (51.6% of total)
ival-div: 172.0ms (24.3% of total)
ival-mult: 151.0ms (21.3% of total)
exact: 11.0ms (1.6% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess251.0ms (2%)

Memory
-32.0MiB live, 17.8MiB allocated
Algorithm
2×egg-herbie
Rules
594×times-frac
488×associate-*r*
336×associate-*l*
276×distribute-lft-neg-in
276×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02045
14643
211242
332742
499242
5175142
6185642
7188642
8191442
9192642
10199842
11246942
01214
11914
22914
33814
44114
04114
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Call 2
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x -1/2)) (sin x))))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
Symmetry

(negabs x)

explain421.0ms (3.4%)

Memory
32.2MiB live, 229.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-3(1.3943878987707757e-161)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
0133(2.0497136331429435e+217)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)))sensitivity1330
/.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
-13355
Precision
0.3282828282828283
Recall
0.9558823529411765
Confusion?
Predicted +Predicted MaybePredicted -
+6503
-133055
Precision?
0.3282828282828283
Recall?
0.9558823529411765
Freqs
test
numberfreq
058
1198
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
106.0ms512×0valid
Compiler

Compiled 144 to 48 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-sin: 73.0ms (80.8% of total)
ival-mult: 9.0ms (10% of total)
ival-div: 7.0ms (7.7% of total)
ival-true: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune54.0ms (0.4%)

Memory
-37.9MiB live, 1.0MiB allocated
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 17 to 11 computations (35.3% saved)

simplify5.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(*.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))))
✓cost-diff0
(/.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))
✓cost-diff704
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
20×*-commutative
10×associate-/l*
10×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
11945
22945
33845
44145
04145
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* (* (/ 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)
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* (/ 8 3) (sin (* x 1/2)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 8 3)
#s(literal 8/3 binary64)
8
#s(literal 8 binary64)
3
#s(literal 3 binary64)
(sin (* x 1/2))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)

localize92.0ms (0.7%)

Memory
22.6MiB live, 61.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.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))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy75.4%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Samples
78.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 55.0ms (78.2% of total)
ival-sin: 11.0ms (15.6% of total)
ival-div: 4.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
5 → 48
Calls
Call 1
Inputs
#<alt (/ 8 3)>
#<alt (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))>
#<alt (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))>
#<alt (* (/ 8 3) (sin (* x 1/2)))>
#<alt (sin x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms
x
@-inf
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms
x
@inf
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms
x
@0
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
0.0ms
x
@-inf
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

rewrite344.0ms (2.8%)

Memory
1.1MiB live, 315.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 420×*-lowering-*.f32
2 420×*-lowering-*.f64
2 008×/-lowering-/.f32
2 008×/-lowering-/.f64
534×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01234
12728
210828
361924
0490724
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
5 → 286
Calls
Call 1
Inputs
(/ 8 3)
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(sin x)
Outputs
#s(literal 8/3 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (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 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
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(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.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 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -8/3 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -8/3 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64))
(*.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)) #s(literal 8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64))
(+.f64 (sin.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))

simplify676.0ms (5.5%)

Memory
-42.1MiB live, 893.6MiB allocated
Algorithm
1×egg-herbie
Rules
18 506×accelerator-lowering-fma.f32
18 506×accelerator-lowering-fma.f64
4 370×+-lowering-+.f64
4 370×+-lowering-+.f32
3 662×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval38.0ms (0.3%)

Memory
28.6MiB live, 106.6MiB allocated
Compiler

Compiled 5 459 to 751 computations (86.2% saved)

prune73.0ms (0.6%)

Memory
-3.0MiB live, 200.0MiB allocated
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New30628334
Fresh000
Picked101
Done000
Total30728335
Accuracy
100.0%
Counts
335 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
54.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
54.1%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
▶54.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
54.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
54.1%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
75.2%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
25.3%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
▶23.8%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
75.1%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
25.7%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
54.2%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
54.4%
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
54.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶99.5%
(*.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 3/8 binary64)))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
75.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
54.4%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
54.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
48.6%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
48.6%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
48.7%
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
▶75.1%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
▶49.1%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 792 to 558 computations (29.5% saved)

simplify233.0ms (1.9%)

Memory
-25.5MiB live, 372.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
✓cost-diff0
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
✓cost-diff128
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)))
✓cost-diff320
(*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
✓cost-diff0
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓cost-diff960
(*.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 3/8 binary64)))
Rules
7 376×accelerator-lowering-fma.f32
7 376×accelerator-lowering-fma.f64
2 210×*-lowering-*.f32
2 210×*-lowering-*.f64
1 894×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039236
191233
2243233
3579233
41174233
52021233
62710233
73760233
84465233
94962233
105332233
115846233
126074233
136138233
146172233
156172233
166172233
176172233
06172216
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/2 x)
1/2
x
(sin x)
(/ (sin (* 1/2 x)) 3/8)
3/8
(* 2/3 x)
2/3
x
(/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))
(* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)))
x
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)
(* x x)
(+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)
(+ (* x (* x -1/30240)) 1/540)
(* x -1/30240)
-1/30240
1/540
-1/18
2/3
(sin x)
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
(+ 4/3 (* (* (cos x) -1/2) 8/3))
4/3
(* (* (cos x) -1/2) 8/3)
(* (cos x) -1/2)
(cos x)
x
-1/2
8/3
(sin x)
(* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))
8/3
(/ (pow (sin (* x 1/2)) 2) (sin x))
(pow (sin (* x 1/2)) 2)
(sin (* x 1/2))
(* x 1/2)
x
1/2
2
(sin x)
Outputs
(* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(sin x)
(sin.f64 x)
(/ (sin (* 1/2 x)) 3/8)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
x
(/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
x
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))) #s(literal -1/18 binary64))
(+ (* x (* x -1/30240)) 1/540)
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* x -1/30240)
(*.f64 x #s(literal -1/30240 binary64))
-1/30240
#s(literal -1/30240 binary64)
1/540
#s(literal 1/540 binary64)
-1/18
#s(literal -1/18 binary64)
2/3
#s(literal 2/3 binary64)
(sin x)
(sin.f64 x)
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(+ 4/3 (* (* (cos x) -1/2) 8/3))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
4/3
#s(literal 4/3 binary64)
(* (* (cos x) -1/2) 8/3)
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* (cos x) -1/2)
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(cos x)
(cos.f64 x)
x
-1/2
#s(literal -1/2 binary64)
8/3
#s(literal 8/3 binary64)
(sin x)
(sin.f64 x)
(* 8/3 (/ (pow (sin (* x 1/2)) 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)))
8/3
#s(literal 8/3 binary64)
(/ (pow (sin (* x 1/2)) 2) (sin x))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow (sin (* x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin (* x 1/2))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
x
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(sin x)
(sin.f64 x)

localize300.0ms (2.4%)

Memory
3.8MiB live, 481.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓accuracy99.5%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
✓accuracy75.5%
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.7%
(*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))
✓accuracy78.8%
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)))
✓accuracy75.4%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
✓accuracy99.8%
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
✓accuracy99.8%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
✓accuracy99.3%
(*.f64 x #s(literal -1/30240 binary64))
✓accuracy75.7%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
✓accuracy99.6%
(*.f64 #s(literal 2/3 binary64) x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓accuracy99.6%
(*.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 3/8 binary64)))
Samples
121.0ms134×0valid
77.0ms70×2valid
22.0ms18×3valid
21.0ms34×1valid
Compiler

Compiled 229 to 41 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-sin: 56.0ms (30.2% of total)
const: 37.0ms (20% of total)
ival-mult: 36.0ms (19.4% of total)
ival-cos: 24.0ms (12.9% of total)
ival-div: 13.0ms (7% of total)
adjust: 8.0ms (4.3% of total)
ival-add: 7.0ms (3.8% of total)
ival-pow2: 3.0ms (1.6% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-1.8MiB live, 38.1MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))>
#<alt (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)))>
#<alt (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))>
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)>
#<alt (* (* (cos x) -1/2) 8/3)>
#<alt (+ 4/3 (* (* (cos x) -1/2) 8/3))>
#<alt (/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))>
#<alt (* (cos x) -1/2)>
#<alt (* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))>
#<alt (/ (pow (sin (* x 1/2)) 2) (sin x))>
#<alt (pow (sin (* x 1/2)) 2)>
#<alt (sin (* x 1/2))>
#<alt (/ (sin (* 1/2 x)) 3/8)>
#<alt (sin x)>
#<alt (* x -1/30240)>
#<alt (+ (* x (* x -1/30240)) 1/540)>
#<alt (cos x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* -1/30240 (/ (pow x 8) (sin x)))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))>
#<alt (* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))>
#<alt (* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))>
#<alt (* -1/30240 (/ (pow x 8) (sin x)))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))>
#<alt (* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))>
#<alt (* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* -1/30240 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* -1/30240 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* -1/30240 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 7) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* -1/30240 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/30240 (/ 1/18 (pow x 4))) (* 1/540 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/30240 (/ 1/18 (pow x 4))) (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))>
#<alt 2/3>
#<alt (+ 2/3 (* -1/18 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))>
#<alt (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))>
#<alt (* -1/30240 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* -1/30240 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt -4/3>
#<alt (- (* 2/3 (pow x 2)) 4/3)>
#<alt (- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)>
#<alt (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (/ (pow (sin (* 1/2 x)) 2) (sin x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt 1/540>
#<alt (+ 1/540 (* -1/30240 (pow x 2)))>
#<alt (+ 1/540 (* -1/30240 (pow x 2)))>
#<alt (+ 1/540 (* -1/30240 (pow x 2)))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))
1.0ms
x
@inf
(/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))
1.0ms
x
@-inf
(/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))
0.0ms
x
@inf
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
0.0ms
x
@inf
(/ (sin (* 1/2 x)) (sin x))

rewrite401.0ms (3.3%)

Memory
38.8MiB live, 741.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 796×*-lowering-*.f32
4 796×*-lowering-*.f64
4 438×accelerator-lowering-fma.f32
4 438×accelerator-lowering-fma.f64
3 852×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039190
1190190
21317190
08218175
Stop Event
1×iter limit
1×node limit
Counts
22 → 734
Calls
Call 1
Inputs
(* (/ (sin (* 1/2 x)) (sin x)) (/ (sin (* 1/2 x)) 3/8))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/2 x)
(* 2/3 x)
(/ (* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))) (sin x))
(* x (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)))
(* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3))
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/30240)) 1/540)) -1/18)) 2/3)
(* (* (cos x) -1/2) 8/3)
(+ 4/3 (* (* (cos x) -1/2) 8/3))
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
(* (cos x) -1/2)
(* 8/3 (/ (pow (sin (* x 1/2)) 2) (sin x)))
(/ (pow (sin (* x 1/2)) 2) (sin x))
(pow (sin (* x 1/2)) 2)
(sin (* x 1/2))
(/ (sin (* 1/2 x)) 3/8)
(sin x)
(* x -1/30240)
(+ (* x (* x -1/30240)) 1/540)
(cos x)
Outputs
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(neg.f64 (*.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))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x))) #s(literal 8/3 binary64)))
(neg.f64 (*.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))))
(neg.f64 (*.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)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(neg.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal 1/157464000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal 1/157464000 binary64))) (neg.f64 (+.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal -1/291600 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/30240 binary64) #s(literal 1/540 binary64)))
(/.f64 (-.f64 #s(literal 1/291600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)))) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal 1/30240 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64)) #s(literal 1/291600 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/764699349893278334976000000 binary64)) #s(literal 1/3904305912313344000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/764699349893278334976000000 binary64) (-.f64 #s(literal 1/24794911296000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/4354383142158336000000 binary64)))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/764699349893278334976000000 binary64) #s(literal -1/24794911296000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal -1/157464000 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/764699349893278334976000000 binary64) #s(literal -1/24794911296000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/836232702197760000 binary64) (+.f64 #s(literal 1/85030560000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/266655836160000 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/836232702197760000 binary64) #s(literal -1/85030560000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal 1/157464000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal -1/291600 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/30240 binary64) #s(literal 1/540 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/291600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))))) (neg.f64 (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal 1/30240 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (fma.f64 (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64)))) (*.f64 (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))) (/.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal 1/157464000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal 1/157464000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/291600 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal -1/291600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/30240 binary64) #s(literal -1/540 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27653197824000 binary64)) #s(literal 1/157464000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal 1/291600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/16329600 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)) #s(literal -1/291600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/30240 binary64) #s(literal 1/540 binary64))))
(*.f64 (-.f64 #s(literal 1/291600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/914457600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal 1/30240 binary64)))))
(cos.f64 x)

simplify451.0ms (3.7%)

Memory
13.5MiB live, 850.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 420×accelerator-lowering-fma.f32
14 420×accelerator-lowering-fma.f64
5 046×+-lowering-+.f64
5 046×+-lowering-+.f32
3 600×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02552216
17082216
217742210
336782210
464572210
080922077
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* -1/30240 (pow x 8))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* -1/30240 (pow x 8))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* 2/3 x)
(* x (+ 2/3 (* -1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* -1/30240 (pow x 7))
(* (pow x 7) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 7) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* -1/30240 (pow x 7))
(* -1 (* (pow x 7) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/30240 (/ 1/18 (pow x 4))) (* 1/540 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/30240 (/ 1/18 (pow x 4))) (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))
(* -1/30240 (pow x 6))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* -1/30240 (pow x 6))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
-4/3
(- (* 2/3 (pow x 2)) 4/3)
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
1/540
(+ 1/540 (* -1/30240 (pow x 2)))
(+ 1/540 (* -1/30240 (pow x 2)))
(+ 1/540 (* -1/30240 (pow x 2)))
(* -1/30240 (pow x 2))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* -1/30240 (pow x 2))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/768 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 61/92160 binary64) #s(literal 5/768 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* -1/30240 (/ (pow x 8) (sin x)))
(/.f64 (*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64))) (sin.f64 x))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x (sin.f64 x)))) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x (sin.f64 x)))) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x (sin.f64 x)))) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (sin.f64 x) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(/.f64 (*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64))) (sin.f64 x))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x (sin.f64 x)))) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x (sin.f64 x)))) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x (sin.f64 x)))) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (sin.f64 x) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
(* -1/30240 (pow x 8))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1/30240 (pow x 8))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))
(* -1/30240 (pow x 7))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(*.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/30240 (pow x 7))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/30240 (/ 1/18 (pow x 4))) (* 1/540 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/30240 (/ 1/18 (pow x 4))) (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))
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(*.f64 x #s(literal -1/30240 binary64))
(* -1/30240 x)
(*.f64 x #s(literal -1/30240 binary64))
(* -1/30240 x)
(*.f64 x #s(literal -1/30240 binary64))
(* -1/30240 x)
(*.f64 x #s(literal -1/30240 binary64))
1/540
#s(literal 1/540 binary64)
(+ 1/540 (* -1/30240 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(+ 1/540 (* -1/30240 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(+ 1/540 (* -1/30240 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* -1/30240 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/30240 binary64)))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* -1/30240 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/30240 binary64)))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
(* (pow x 2) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval168.0ms (1.4%)

Memory
4.3MiB live, 375.2MiB allocated
Compiler

Compiled 28 328 to 2 531 computations (91.1% saved)

prune374.0ms (3%)

Memory
-108.6MiB live, 360.3MiB allocated
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New1 077221 099
Fresh111223
Picked235
Done000
Total1 090371 127
Accuracy
100.0%
Counts
1 127 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
54.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
▶54.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
54.2%
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
53.9%
(/.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x)))
54.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
4.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
75.2%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
23.9%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
24.0%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
24.5%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
25.7%
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
75.1%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
▶25.7%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
54.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
54.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
▶54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
54.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
✓99.5%
(*.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 3/8 binary64)))
▶99.3%
(*.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)))
75.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
54.4%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -3/8 binary64)))
54.4%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
48.0%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
54.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
48.6%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
48.6%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
▶48.7%
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
✓75.1%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
23.8%
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
25.7%
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
54.1%
(*.f64 #s(literal 8/3 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x))))
✓49.1%
(*.f64 #s(literal 2/3 binary64) x)
54.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Compiler

Compiled 1 083 to 758 computations (30% saved)

simplify27.0ms (0.2%)

Memory
19.8MiB live, 59.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓cost-diff0
(*.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)))
Rules
468×*-lowering-*.f32
468×*-lowering-*.f64
194×associate-*r*
190×associate-*l*
132×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028152
161152
2119146
3167146
4218146
5293146
6435146
7605146
8610146
9638146
10644146
11680146
12694146
0694138
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/2 x)
1/2
x
(sin x)
(* (sin (* 1/2 x)) 8/3)
8/3
(* x (+ (* 1/18 (* x x)) 2/3))
x
(+ (* 1/18 (* x x)) 2/3)
1/18
(* x x)
2/3
(/ (* 2/3 (* x x)) (sin x))
(* 2/3 (* x x))
2/3
(* x x)
x
(sin x)
(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
(+ (* (cos x) -1/2) 1/2)
(cos x)
x
-1/2
1/2
(/ 8/3 (sin x))
8/3
(sin x)
(/ (/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2))) (sin x))
(/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2)))
1
(/ 3/8 (+ (* (cos x) -1/2) 1/2))
3/8
(+ (* (cos x) -1/2) 1/2)
(cos x)
x
-1/2
1/2
(sin x)
Outputs
(* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(sin x)
(sin.f64 x)
(* (sin (* 1/2 x)) 8/3)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
8/3
#s(literal 8/3 binary64)
(* x (+ (* 1/18 (* x x)) 2/3))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
x
(+ (* 1/18 (* x x)) 2/3)
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
1/18
#s(literal 1/18 binary64)
(* x x)
(*.f64 x x)
2/3
#s(literal 2/3 binary64)
(/ (* 2/3 (* x x)) (sin x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(* 2/3 (* x x))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
2/3
#s(literal 2/3 binary64)
(* x x)
(*.f64 x x)
x
(sin x)
(sin.f64 x)
(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(+ (* (cos x) -1/2) 1/2)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)
x
-1/2
#s(literal -1/2 binary64)
1/2
#s(literal 1/2 binary64)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
8/3
#s(literal 8/3 binary64)
(sin x)
(sin.f64 x)
(/ (/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
1
#s(literal 1 binary64)
(/ 3/8 (+ (* (cos x) -1/2) 1/2))
(/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
3/8
#s(literal 3/8 binary64)
(+ (* (cos x) -1/2) 1/2)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)
x
-1/2
#s(literal -1/2 binary64)
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)

localize181.0ms (1.5%)

Memory
-5.8MiB live, 304.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓accuracy79.3%
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓accuracy75.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.4%
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓accuracy79.3%
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓accuracy75.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
✓accuracy75.6%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓accuracy99.6%
(*.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)))
✓accuracy99.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
Samples
49.0ms67×2valid
45.0ms134×0valid
16.0ms38×1valid
15.0ms17×3valid
Compiler

Compiled 150 to 30 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 25.0ms (26.5% of total)
ival-cos: 22.0ms (23.3% of total)
ival-sin: 14.0ms (14.8% of total)
ival-div: 13.0ms (13.8% of total)
const: 10.0ms (10.6% of total)
adjust: 5.0ms (5.3% of total)
ival-add: 4.0ms (4.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ (* 1/18 (* x x)) 2/3))>
#<alt (+ (* 1/18 (* x x)) 2/3)>
#<alt (* x x)>
#<alt (/ (* 2/3 (* x x)) (sin x))>
#<alt (* 2/3 (* x x))>
#<alt (sin x)>
#<alt (* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))>
#<alt (+ (* (cos x) -1/2) 1/2)>
#<alt (cos x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2)))>
#<alt (/ (/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2))) (sin x))>
#<alt (/ 3/8 (+ (* (cos x) -1/2) 1/2))>
#<alt (* (sin (* 1/2 x)) 8/3)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/9 (* 7/540 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 7/540 (* 31/22680 (pow x 2))))))))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (/ (pow x 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (/ 3/2 (pow x 2))>
#<alt (/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2))>
#<alt (/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* x (+ (* 1/18 (* x x)) 2/3))
1.0ms
x
@inf
(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
1.0ms
x
@-inf
(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
1.0ms
x
@inf
(/ (* 2/3 (* x x)) (sin x))
1.0ms
x
@-inf
(/ (* 2/3 (* x x)) (sin x))

rewrite577.0ms (4.7%)

Memory
-8.2MiB live, 663.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 566×*-lowering-*.f32
4 566×*-lowering-*.f64
3 892×accelerator-lowering-fma.f32
3 892×accelerator-lowering-fma.f64
2 996×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028118
1131118
2803109
36541109
08376102
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 045
Calls
Call 1
Inputs
(* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/2 x)
(* x (+ (* 1/18 (* x x)) 2/3))
(+ (* 1/18 (* x x)) 2/3)
(* x x)
(/ (* 2/3 (* x x)) (sin x))
(* 2/3 (* x x))
(sin x)
(* (+ (* (cos x) -1/2) 1/2) (/ 8/3 (sin x)))
(+ (* (cos x) -1/2) 1/2)
(cos x)
(/ 8/3 (sin x))
(/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2)))
(/ (/ 1 (/ 3/8 (+ (* (cos x) -1/2) 1/2))) (sin x))
(/ 3/8 (+ (* (cos x) -1/2) 1/2))
(* (sin (* 1/2 x)) 8/3)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(neg.f64 (*.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)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(neg.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -8/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -8/3 binary64))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -8/3 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) #s(literal 1 binary64)) #s(literal -1 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 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
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(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))
(*.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal -3/8 binary64))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (/.f64 (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))) (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64) #s(literal -3/16 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64)))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8/3 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8/3 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -2/3 binary64))) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 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)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))

simplify820.0ms (6.7%)

Memory
-0.4MiB live, 699.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 398×accelerator-lowering-fma.f32
14 398×accelerator-lowering-fma.f64
5 222×*-lowering-*.f32
5 222×*-lowering-*.f64
5 096×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311634
16391580
215921580
328931580
452071580
561381580
666401580
776331580
080341444
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/9 (* 7/540 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 7/540 (* 31/22680 (pow x 2))))))))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (/ (pow x 2) (sin x)))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
(* 2/3 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ 3/2 (pow x 2))
(/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
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(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/160 binary64) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/4032 binary64) #s(literal 1/160 binary64))) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

eval475.0ms (3.9%)

Memory
22.4MiB live, 410.1MiB allocated
Compiler

Compiled 29 529 to 2 736 computations (90.7% saved)

prune267.0ms (2.2%)

Memory
-53.9MiB live, 445.0MiB allocated
Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New1 481201 501
Fresh111829
Picked235
Done033
Total1 494441 538
Accuracy
100.0%
Counts
1 538 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
▶54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
54.1%
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64) #s(literal -3/16 binary64)) (sin.f64 x)))
▶54.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
27.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
54.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
54.2%
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
54.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
4.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
54.4%
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -3/8 binary64))
75.2%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
24.0%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
24.5%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
75.1%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
24.6%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
24.9%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
48.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
54.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
25.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
54.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
4.5%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
✓54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
54.3%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
54.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
▶99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓99.5%
(*.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 3/8 binary64)))
✓99.3%
(*.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)))
25.7%
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
54.4%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
48.0%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
23.8%
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
48.3%
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
48.6%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
▶48.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
✓48.7%
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
49.8%
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
✓75.1%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
✓49.1%
(*.f64 #s(literal 2/3 binary64) x)
▶54.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
54.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
Compiler

Compiled 1 214 to 846 computations (30.3% saved)

simplify200.0ms (1.6%)

Memory
26.2MiB live, 182.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
✓cost-diff6400
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
✓cost-diff6400
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff320
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓cost-diff320
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff128
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓cost-diff192
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
Rules
2 096×accelerator-lowering-fma.f32
2 096×accelerator-lowering-fma.f64
1 556×*-lowering-*.f32
1 556×*-lowering-*.f64
1 278×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032153
165153
2125149
3302148
4674148
51316148
62375148
72523148
82760148
93025148
103441148
115379148
126481148
136762148
146883148
156899148
166903148
177239139
187771139
197960139
08011135
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x))) (- 0 (sin (* 1/2 x))))
(/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))
(* (sin (* 1/2 x)) 8/3)
(sin (* 1/2 x))
(* 1/2 x)
1/2
x
8/3
(- 0 (sin x))
0
(sin x)
(- 0 (sin (* 1/2 x)))
(* x (+ (* (* x x) 1/9) 2/3))
x
(+ (* (* x x) 1/9) 2/3)
(* x x)
1/9
2/3
(* 1/2 (/ (sin (* 1/2 x)) 3/8))
1/2
(/ (sin (* 1/2 x)) 3/8)
(sin (* 1/2 x))
(* 1/2 x)
x
3/8
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
(+ (* (cos x) -4/3) 4/3)
(cos x)
x
-4/3
4/3
(sin x)
(/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8)
(/ (+ (* (cos x) -1/2) 1/2) (sin x))
(+ (* (cos x) -1/2) 1/2)
(cos x)
x
-1/2
1/2
(sin x)
3/8
Outputs
(* (/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x))) (- 0 (sin (* 1/2 x))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64))
(* (sin (* 1/2 x)) 8/3)
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
8/3
#s(literal 8/3 binary64)
(- 0 (sin x))
(-.f64 #s(literal 0 binary64) (sin.f64 x))
0
#s(literal 0 binary64)
(sin x)
(sin.f64 x)
(- 0 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* x (+ (* (* x x) 1/9) 2/3))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
x
(+ (* (* x x) 1/9) 2/3)
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 2/3 binary64))
(* x x)
(*.f64 x x)
1/9
#s(literal 1/9 binary64)
2/3
#s(literal 2/3 binary64)
(* 1/2 (/ (sin (* 1/2 x)) 3/8))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(/ (sin (* 1/2 x)) 3/8)
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
x
3/8
#s(literal 3/8 binary64)
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
(fma.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+ (* (cos x) -4/3) 4/3)
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos x)
(cos.f64 x)
x
-4/3
#s(literal -4/3 binary64)
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
(/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8)
(fma.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (+ (* (cos x) -1/2) 1/2) (sin x))
(fma.f64 #s(literal 1/2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+ (* (cos x) -1/2) 1/2)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos x)
(cos.f64 x)
x
-1/2
#s(literal -1/2 binary64)
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)
3/8
#s(literal 3/8 binary64)

localize282.0ms (2.3%)

Memory
-16.8MiB live, 460.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.8%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
✓accuracy79.3%
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓accuracy75.5%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
✓accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(cos.f64 x)
✓accuracy79.1%
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
✓accuracy75.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
✓accuracy99.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
✓accuracy99.5%
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
Samples
93.0ms134×0valid
74.0ms70×2valid
22.0ms18×3valid
20.0ms34×1valid
Compiler

Compiled 155 to 34 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-sub: 40.0ms (22.2% of total)
ival-mult: 32.0ms (17.8% of total)
const: 27.0ms (15% of total)
ival-sin: 24.0ms (13.3% of total)
ival-cos: 23.0ms (12.8% of total)
ival-div: 20.0ms (11.1% of total)
adjust: 7.0ms (3.9% of total)
ival-add: 6.0ms (3.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))>
#<alt (* (/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x))) (- 0 (sin (* 1/2 x))))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ (* (* x x) 1/9) 2/3))>
#<alt (+ (* (* x x) 1/9) 2/3)>
#<alt (* x x)>
#<alt (* 1/2 (/ (sin (* 1/2 x)) 3/8))>
#<alt (/ (sin (* 1/2 x)) 3/8)>
#<alt (/ (+ (* (cos x) -4/3) 4/3) (sin x))>
#<alt (+ (* (cos x) -4/3) 4/3)>
#<alt (cos x)>
#<alt (sin x)>
#<alt (/ (+ (* (cos x) -1/2) 1/2) (sin x))>
#<alt (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8)>
#<alt (+ (* (cos x) -1/2) 1/2)>
#<alt (* (sin (* 1/2 x)) 8/3)>
Outputs
#<alt -4/3>
#<alt (- (* -1/6 (pow x 2)) 4/3)>
#<alt (- (* (pow x 2) (- (* -5/288 (pow x 2)) 1/6)) 4/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -61/34560 (pow x 2)) 5/288)) 1/6)) 4/3)>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* -8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/9 (pow x 2))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 3))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/9 (pow x 2)))>
#<alt (+ 2/3 (* 1/9 (pow x 2)))>
#<alt (+ 2/3 (* 1/9 (pow x 2)))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
Calls

51 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x (+ (* (* x x) 1/9) 2/3))
0.0ms
x
@0
(* x (+ (* (* x x) 1/9) 2/3))
0.0ms
x
@inf
(/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))
0.0ms
x
@-inf
(/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))
0.0ms
x
@0
(/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))

rewrite495.0ms (4%)

Memory
0.3MiB live, 994.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 940×accelerator-lowering-fma.f32
6 940×accelerator-lowering-fma.f64
5 184×*-lowering-*.f32
5 184×*-lowering-*.f64
3 534×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032117
1165113
21293109
08937102
Stop Event
1×iter limit
1×node limit
Counts
17 → 1 297
Calls
Call 1
Inputs
(/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x)))
(* (/ (* (sin (* 1/2 x)) 8/3) (- 0 (sin x))) (- 0 (sin (* 1/2 x))))
(sin (* 1/2 x))
(* 1/2 x)
(* x (+ (* (* x x) 1/9) 2/3))
(+ (* (* x x) 1/9) 2/3)
(* x x)
(* 1/2 (/ (sin (* 1/2 x)) 3/8))
(/ (sin (* 1/2 x)) 3/8)
(/ (+ (* (cos x) -4/3) 4/3) (sin x))
(+ (* (cos x) -4/3) 4/3)
(cos x)
(sin x)
(/ (+ (* (cos x) -1/2) 1/2) (sin x))
(/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8)
(+ (* (cos x) -1/2) 1/2)
(* (sin (* 1/2 x)) 8/3)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)))
(+.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (sin.f64 x) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
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(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -8/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)))
(neg.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal -3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal -3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64) #s(literal 0 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 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)))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -8/3 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64) #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64) #s(literal 0 binary64))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))

simplify540.0ms (4.4%)

Memory
24.3MiB live, 1 040.0MiB allocated
Algorithm
1×egg-herbie
Rules
16 958×accelerator-lowering-fma.f32
16 958×accelerator-lowering-fma.f64
5 802×+-lowering-+.f64
5 802×+-lowering-+.f32
5 418×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151558
15981552
214241552
326181552
449051552
561411552
671181552
083001416
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
-4/3
(- (* -1/6 (pow x 2)) 4/3)
(- (* (pow x 2) (- (* -5/288 (pow x 2)) 1/6)) 4/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/34560 (pow x 2)) 5/288)) 1/6)) 4/3)
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* x (+ 2/3 (* 1/9 (pow x 2))))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* 1/9 (pow x 3))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/9 (pow x 2)))
(+ 2/3 (* 1/9 (pow x 2)))
(+ 2/3 (* 1/9 (pow x 2)))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/9 (* 2/3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
Outputs
-4/3
#s(literal -4/3 binary64)
(- (* -1/6 (pow x 2)) 4/3)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -4/3 binary64))
(- (* (pow x 2) (- (* -5/288 (pow x 2)) 1/6)) 4/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/288 binary64)) #s(literal -1/6 binary64)) #s(literal -4/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -61/34560 (pow x 2)) 5/288)) 1/6)) 4/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -61/34560 binary64) #s(literal -5/288 binary64))) #s(literal -1/6 binary64)) #s(literal -4/3 binary64))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* -8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
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(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64))) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))

eval256.0ms (2.1%)

Memory
6.8MiB live, 518.7MiB allocated
Compiler

Compiled 41 050 to 3 391 computations (91.7% saved)

prune313.0ms (2.5%)

Memory
-24.1MiB live, 536.4MiB allocated
Pruning

51 alts after pruning (41 fresh and 10 done)

PrunedKeptTotal
New1 744141 758
Fresh62733
Picked145
Done066
Total1 751511 802
Accuracy
100.0%
Counts
1 802 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
48.7%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓54.4%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
54.1%
(/.f64 (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -16/9 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x)))
✓54.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.4%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
54.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 3/8 binary64))
27.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
54.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
54.2%
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
54.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
4.2%
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
54.4%
(/.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 3/8 binary64))
75.2%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
24.0%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
49.3%
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
75.1%
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
24.6%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
24.9%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
25.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
54.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
54.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
54.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
4.5%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
✓54.4%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
54.3%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
75.1%
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
99.3%
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
54.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
✓99.5%
(*.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 3/8 binary64)))
✓99.3%
(*.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)))
25.7%
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
54.4%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
48.0%
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
23.8%
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
54.4%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
48.3%
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
48.6%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
✓48.7%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
48.9%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
✓48.7%
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
49.8%
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
4.2%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
✓75.1%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
✓49.1%
(*.f64 #s(literal 2/3 binary64) x)
54.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
49.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
✓54.6%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Compiler

Compiled 1 890 to 818 computations (56.7% saved)

regimes52.0ms (0.4%)

Memory
-10.9MiB live, 102.6MiB allocated
Counts
85 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -3/8 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 3/8 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (fma.f64 #s(literal 16/9 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -16/9 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64) #s(literal -3/16 binary64)) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x))))
(/.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -16/9 binary64))) (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) 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 3/8 binary64)))
Calls

2 calls:

25.0ms
x
24.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.5%1x
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))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes47.0ms (0.4%)

Memory
10.0MiB live, 87.2MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -3/8 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
Outputs
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
Calls

2 calls:

22.0ms
x
21.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes42.0ms (0.3%)

Memory
22.9MiB live, 99.1MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -3/8 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
Calls

2 calls:

20.0ms
x
19.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes44.0ms (0.4%)

Memory
-22.6MiB live, 96.7MiB allocated
Counts
67 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -3/8 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
Calls

2 calls:

22.0ms
(/.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))
19.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
99.5%3(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes22.0ms (0.2%)

Memory
-11.4MiB live, 70.0MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 3/8 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -3/8 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 8/3 binary64)))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.1%)

Memory
4.8MiB live, 43.8MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes36.0ms (0.3%)

Memory
5.1MiB live, 44.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 #s(literal 2/3 binary64) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64)))) (fma.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -8/27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/324 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal 4/9 binary64))) (neg.f64 (/.f64 #s(literal 4/9 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (*.f64 x x))) (sin.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)) (/.f64 x (sin.f64 x))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64))) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Calls

2 calls:

24.0ms
x
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))
Results
AccuracySegmentsBranch
54.6%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
54.6%1x
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes27.0ms (0.2%)

Memory
-6.3MiB live, 33.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (+.f64 #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
Outputs
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Calls

2 calls:

19.0ms
(/.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))
6.0ms
x
Results
AccuracySegmentsBranch
54.4%1x
54.4%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes17.0ms (0.1%)

Memory
-26.1MiB live, 20.3MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/9 binary64) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 7/540 binary64)) #s(literal 1/9 binary64)) #s(literal 2/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) x)
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
Calls

2 calls:

11.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
6.0ms
x
Results
AccuracySegmentsBranch
49.3%1x
49.3%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -29.2b remaining (-89.8%)

Threshold costs -29.2b (-89.8%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/9 binary64))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 2/3 binary64)))
Outputs
(*.f64 #s(literal 2/3 binary64) x)
Calls

2 calls:

2.0ms
(/.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))
2.0ms
x
Results
AccuracySegmentsBranch
49.1%1x
49.1%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch5.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
2.183509652707461e-7
2.530600627797169
Samples
2.0ms32×0valid
Compiler

Compiled 70 to 55 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sin: 1.0ms (61.6% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Memory
-6.6MiB live, 31.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
2.183509652707461e-7
2.530600627797169
Samples
31.0ms144×0valid
Compiler

Compiled 236 to 186 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 23.0ms (81.7% of total)
ival-sin: 3.0ms (10.7% of total)
ival-div: 2.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.183509652707461e-7
2.530600627797169
Samples
10.0ms144×0valid
Compiler

Compiled 236 to 186 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (42.3% of total)
ival-div: 2.0ms (28.2% of total)
ival-mult: 2.0ms (28.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch75.0ms (0.6%)

Memory
-20.3MiB live, 17.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
73.0ms
2.183509652707461e-7
2.530600627797169
Samples
10.0ms144×0valid
Compiler

Compiled 218 to 168 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (40.7% of total)
ival-div: 2.0ms (27.2% of total)
ival-mult: 2.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
1×egg-herbie
Rules
36×*-commutative_binary64
12×neg-mul-1_binary64
10×+-commutative_binary64
10×sub-neg_binary64
10×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056161
173161
280161
388161
496161
5103161
6108161
7110161
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(if (<=.f64 x #s(literal 944473296573929/2361183241434822606848 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x)))
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(*.f64 #s(literal 2/3 binary64) 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 3/8 binary64)))
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(if (<=.f64 x #s(literal 944473296573929/2361183241434822606848 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
(if (<=.f64 x #s(literal 944473296573929/2361183241434822606848 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 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))))
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (sin.f64 x)))
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(if (<=.f64 x #s(literal 5188146770730811/1152921504606846976 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))

soundness1.8s (14.8%)

Memory
20.5MiB live, 1 283.8MiB allocated
Rules
18 506×accelerator-lowering-fma.f32
18 506×accelerator-lowering-fma.f64
16 958×accelerator-lowering-fma.f32
16 958×accelerator-lowering-fma.f64
14 420×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02151558
15981552
214241552
326181552
449051552
561411552
671181552
083001416
039190
1190190
21317190
08218175
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
02552216
17082216
217742210
336782210
464572210
080922077
032117
1165113
21293109
08937102
028118
1131118
2803109
36541109
08376102
01234
12728
210828
361924
0490724
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 371 to 205 computations (44.7% saved)

preprocess253.0ms (2.1%)

Memory
-1.3MiB live, 312.6MiB allocated
Compiler

Compiled 602 to 312 computations (48.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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