cos2 (problem 3.4.1)

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample2.4s (22.8%)

Memory
-4.2MiB live, 1 957.5MiB allocated
Samples
1.2s2 203×2valid
507.0ms4 214×0valid
315.0ms572×3valid
123.0ms1 267×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-cos: 1.4s (76.6% of total)
ival-div: 137.0ms (7.2% of total)
ival-sub: 107.0ms (5.7% of total)
adjust: 101.0ms (5.3% of total)
ival-mult: 82.0ms (4.3% of total)
ival-true: 6.0ms (0.3% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain171.0ms (1.6%)

Memory
-15.6MiB live, 257.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
771(1.1994041148727738e+26)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
710-3(-1.5240377304009035e-161)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation786
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u660
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow66
(*.f64 x x)underflow66
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o20
(*.f64 x x)overflow54
Confusion
Predicted +Predicted -
+1440
-2110
Precision
0.9863013698630136
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14400
-26104
Precision?
0.9473684210526315
Recall?
1.0
Freqs
test
numberfreq
0110
1146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms166×2valid
26.0ms248×0valid
10.0ms64×1valid
10.0ms34×3valid
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-cos: 51.0ms (67.4% of total)
ival-div: 9.0ms (11.9% of total)
adjust: 6.0ms (7.9% of total)
ival-sub: 5.0ms (6.6% of total)
ival-mult: 4.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess59.0ms (0.6%)

Memory
-1.7MiB live, 90.3MiB allocated
Algorithm
egg-herbie
Rules
408×lower-fma.f64
408×lower-fma.f32
324×times-frac
284×times-frac
272×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
13217
210216
329916
475716
5118516
6129416
7131016
068
0108
1198
2308
3468
4828
51318
61888
73238
86218
910278
1011388
011388
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify27.0ms (0.3%)

Memory
3.0MiB live, 41.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Rules
408×lower-fma.f64
408×lower-fma.f32
284×times-frac
272×lower-*.f32
270×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11919
23019
34619
48219
513119
618819
732319
862119
9102719
10113819
0113819
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

localize58.0ms (0.6%)

Memory
-10.4MiB live, 150.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(cos.f64 x)
accuracy15.897915977241547
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.731471896349348
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Samples
28.0ms83×2valid
11.0ms124×0valid
5.0ms17×3valid
3.0ms32×1valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cos: 25.0ms (67.2% of total)
ival-sub: 4.0ms (10.8% of total)
ival-div: 3.0ms (8.1% of total)
adjust: 3.0ms (8.1% of total)
ival-mult: 2.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- 1 (cos x)) (* x x))
0.0ms
x
@inf
(* x x)
0.0ms
x
@0
(/ (- 1 (cos x)) (* x x))
0.0ms
x
@-inf
(/ (- 1 (cos x)) (* x x))
0.0ms
x
@0
(cos x)

simplify403.0ms (3.9%)

Memory
25.7MiB live, 370.3MiB allocated
Algorithm
egg-herbie
Rules
16 752×lower-fma.f64
16 752×lower-fma.f32
3 896×lower-*.f64
3 896×lower-*.f32
1 568×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1105284
2258284
3609284
41279284
52001284
62304284
73158284
84639284
96288284
107157284
117373284
127391284
137393284
147798284
08007266
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (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)
(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)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (*.f64 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))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x 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 x (*.f64 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite374.0ms (3.6%)

Memory
-15.7MiB live, 395.6MiB allocated
Rules
4 736×lower-/.f32
4 734×lower-/.f64
3 980×lower-fma.f64
3 980×lower-fma.f32
3 064×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14017
226817
3281017
0965617
Stop Event
iter limit
node limit
iter limit
Counts
4 → 629
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #s(literal 1 binary64)))
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)))
(-.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (*.f64 x (neg.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) x) x) (/.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) x) x))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x) x) (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) x) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) x) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) x) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) x))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(neg.f64 (neg.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 x (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)

eval83.0ms (0.8%)

Memory
-0.4MiB live, 147.4MiB allocated
Compiler

Compiled 15 767 to 1 639 computations (89.6% saved)

prune180.0ms (1.7%)

Memory
15.5MiB live, 257.7MiB allocated
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New65423677
Fresh000
Picked011
Done000
Total65424678
Accuracy
100.0%
Counts
678 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
26.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
48.6%
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
27.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
47.5%
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (*.f64 x x))
48.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
38.6%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
23.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
47.4%
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
48.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
73.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
47.5%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
47.8%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
47.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
47.5%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
48.6%
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
73.6%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
47.5%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
55.4%
#s(approx (/ (- 1 (cos x)) (* 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)))
54.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
55.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 659 to 388 computations (41.1% saved)

simplify201.0ms (1.9%)

Memory
-0.5MiB live, 235.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
cost-diff320
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
cost-diff1664
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
cost-diff0
(/.f64 (cos.f64 x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff1024
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff384
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (*.f64 x x))
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
cost-diff384
(/.f64 x #s(literal 2 binary64))
Rules
6 274×lower-fma.f64
6 274×lower-fma.f32
4 250×lower-*.f32
4 242×lower-*.f64
1 356×lower-neg.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027152
045134
183134
2179128
3446126
41175126
52824126
65053126
08210126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
(*.f64 x x)
x
(*.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(cos.f64 x)
x
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 x x)
x
(*.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)

localize175.0ms (1.7%)

Memory
-38.0MiB live, 294.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 x (cos.f64 x))
accuracy11.635650018601195
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
accuracy16.731471896349348
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
accuracy38.03634400982553
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
accuracy0
(cos.f64 x)
accuracy0.32711496676111385
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy0.3687260545280913
(/.f64 (cos.f64 x) (*.f64 x x))
accuracy32.70030622194218
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
accuracy0
(cos.f64 x)
accuracy0.14453125
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy0.1484375
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy0.3593899975220193
(+.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy28.618728607825165
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0
(sin.f64 x)
accuracy0.139003759768442
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy16.22026907551261
(/.f64 (sin.f64 x) (*.f64 x x))
Samples
70.0ms84×2valid
30.0ms121×0valid
18.0ms15×3valid
12.0ms36×1valid
Compiler

Compiled 152 to 26 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-cos: 28.0ms (27% of total)
ival-div: 26.0ms (25.1% of total)
adjust: 17.0ms (16.4% of total)
ival-mult: 13.0ms (12.5% of total)
ival-sub: 6.0ms (5.8% of total)
ival-sin: 6.0ms (5.8% of total)
ival-tan: 5.0ms (4.8% of total)
ival-add: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
35.7MiB live, 35.7MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (+.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) (patch (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (/ (+ 1 (cos x)) x) x)
1.0ms
x
@inf
(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms
x
@-inf
(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms
x
@0
(* (/ (sin x) (* x x)) (tan (/ x 2)))
1.0ms
x
@-inf
(/ (- (* x x) (* x (* x (cos x)))) (* x x))

simplify294.0ms (2.8%)

Memory
8.6MiB live, 353.3MiB allocated
Algorithm
egg-herbie
Rules
13 382×lower-fma.f64
13 382×lower-fma.f32
4 344×lower-*.f64
4 344×lower-*.f32
2 394×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201624
13081624
27431612
322501612
442971612
546501612
651441612
759411612
080581522
Stop Event
iter limit
node limit
Counts
216 → 214
Calls
Call 1
Inputs
(* 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
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ 1 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))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 2 (pow x 2))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
(/ (+ 1 (cos x)) x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 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)
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (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))) x)
(/.f64 (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))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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)
(sin x)
(sin.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (cos x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x 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 x (*.f64 x (fma.f64 x (*.f64 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/2 (pow x 4))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(* (pow x 2) (- 1 (cos x)))
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))

rewrite353.0ms (3.4%)

Memory
4.2MiB live, 361.2MiB allocated
Rules
5 678×lower-/.f32
5 662×lower-/.f64
4 394×lower-*.f32
4 386×lower-*.f64
2 452×lower--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027128
045110
1180108
21550108
08540108
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 023
Calls
Call 1
Inputs
(/.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 x (cos.f64 x))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) x)
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 (*.f64 x x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))))))
(pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 x (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) x) (pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)

eval184.0ms (1.8%)

Memory
-5.4MiB live, 218.3MiB allocated
Compiler

Compiled 30 745 to 2 458 computations (92% saved)

prune214.0ms (2%)

Memory
-8.2MiB live, 326.7MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 408191 427
Fresh14418
Picked235
Done011
Total1 424271 451
Accuracy
100.0%
Counts
1 451 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
26.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
26.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
48.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.8%
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
26.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
48.4%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
38.6%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
47.5%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
48.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
26.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (neg.f64 (*.f64 x x))))
47.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
48.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
73.6%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
47.4%
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
72.1%
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
73.6%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
35.6%
(*.f64 x (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
55.4%
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
55.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 662 to 393 computations (40.6% saved)

simplify144.0ms (1.4%)

Memory
9.2MiB live, 162.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
cost-diff960
(/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
cost-diff0
(neg.f64 (/.f64 (cos.f64 x) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff512
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
cost-diff832
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff384
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
cost-diff0
(*.f64 x #s(literal -1/24 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff384
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
Rules
4 214×lower-fma.f32
4 212×lower-fma.f64
3 460×lower-*.f32
3 448×lower-*.f64
1 910×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038199
065197
1131186
2323160
3921157
43215156
55957156
67590156
08057156
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(neg.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
#s(literal 1 binary64)
(/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 x x)
x
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
x
(*.f64 x #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(neg.f64 x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 x x)
x
(*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)

localize254.0ms (2.4%)

Memory
7.8MiB live, 350.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.48883492533430545
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
accuracy10.118594131396387
(-.f64 x (*.f64 x (cos.f64 x)))
accuracy16.731471896349348
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
accuracy34.69632569696741
(/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))
accuracy0
(cos.f64 x)
accuracy0.078125
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
accuracy0.125
(/.f64 (cos.f64 x) x)
accuracy32.35649341339865
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
accuracy0
(cos.f64 x)
accuracy0.078125
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy15.897915977241547
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.04348135342079
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy0.0703125
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
accuracy0.32421875
(*.f64 x #s(literal -1/24 binary64))
accuracy28.929116225572013
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
accuracy0
(sin.f64 x)
accuracy0.109375
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
accuracy0.12109375
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
accuracy0.13671875
(/.f64 (sin.f64 x) x)
Samples
128.0ms84×2valid
41.0ms122×0valid
19.0ms15×3valid
16.0ms35×1valid
Compiler

Compiled 195 to 37 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-div: 56.0ms (31.7% of total)
ival-cos: 53.0ms (30% of total)
ival-mult: 18.0ms (10.2% of total)
adjust: 16.0ms (9.1% of total)
ival-sub: 12.0ms (6.8% of total)
ival-tan: 7.0ms (4% of total)
ival-sin: 6.0ms (3.4% of total)
const: 4.0ms (2.3% of total)
ival-neg: 3.0ms (1.7% of total)
ival-add: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
9.2MiB live, 43.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -1/24 binary64)) (patch (*.f64 x #s(literal -1/24 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) (patch (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (cos.f64 x) x)) (patch (neg.f64 (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (patch (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (patch (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) x) (patch (/.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (patch (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ (cos x) x) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (- (/ -1 x) (neg (/ (cos x) x))) (neg x))
1.0ms
x
@-inf
(/ (tan (* x 1/2)) x)
1.0ms
x
@-inf
(- (/ -1 x) (neg (/ (cos x) x)))
0.0ms
x
@-inf
(/ (- 1 (cos x)) x)
0.0ms
x
@-inf
(/ (sin x) x)

simplify329.0ms (3.1%)

Memory
18.0MiB live, 532.6MiB allocated
Algorithm
egg-herbie
Rules
18 114×lower-fma.f64
18 114×lower-fma.f32
4 660×lower-*.f64
4 660×lower-*.f32
4 280×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531828
14091822
29871822
327261816
452761816
570711814
084101704
Stop Event
iter limit
node limit
Counts
252 → 251
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) 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)
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
(* -1/24 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (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)
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(/ (- (cos x) 1) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(* -1 (/ (+ 1 (* -1 (cos x))) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(/ 2 (pow x 2))
(/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 2))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (- 1 (cos x)))
(/ 1 (+ 1 (* -1 (cos x))))
(/ 1 (+ 1 (* -1 (cos x))))
(/ 1 (+ 1 (* -1 (cos x))))
(/ 1 (+ 1 (* -1 (cos x))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (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)
(/ 1 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(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) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
(/ (sin x) x)
(/.f64 (sin.f64 x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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)) (*.f64 x (*.f64 x x)) 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)
(sin x)
(sin.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/24 (pow x 2))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/24 (pow x 2))
(*.f64 #s(literal -1/24 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
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 (*.f64 x 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 x (*.f64 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)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))
(* x (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/ (- (cos x) 1) x)
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(/ (- (cos x) 1) x)
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (cos x))) x))
(/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(fma.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* -1 (/ (cos x) x))
(/.f64 (cos.f64 x) (neg.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (* -1 (cos x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 1/6 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/3024 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 x x))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (- 1 (cos x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (+ 1 (* -1 (cos x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (+ 1 (* -1 (cos x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (+ 1 (* -1 (cos x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 1 (+ 1 (* -1 (cos x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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)) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(/ (cos x) x)
(/.f64 (cos.f64 x) x)
(* 1/2 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64))) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))

rewrite377.0ms (3.6%)

Memory
-17.7MiB live, 456.6MiB allocated
Rules
5 024×lower-/.f32
5 004×lower-/.f64
4 326×lower-fma.f32
4 324×lower-fma.f64
3 372×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038163
065169
1264143
21992127
08510127
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 623
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/24 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 (cos.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
(*.f64 x x)
(/.f64 (cos.f64 x) x)
(-.f64 x (*.f64 x (cos.f64 x)))
Outputs
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 x (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (sin.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (cos.f64 x) x)) (*.f64 (fma.f64 x (cos.f64 x) x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 (fma.f64 x (cos.f64 x) x) (fma.f64 x (cos.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 x (cos.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 x (cos.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 x) x)) (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 x) x)) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 x (cos.f64 x) x)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 x (cos.f64 x) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x (cos.f64 x) x)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 x (cos.f64 x) x))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (cos.f64 x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (cos.f64 x)) (fma.f64 x (cos.f64 x) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 x) x)))

eval312.0ms (3%)

Memory
4.3MiB live, 358.1MiB allocated
Compiler

Compiled 40 716 to 3 524 computations (91.3% saved)

prune335.0ms (3.2%)

Memory
-13.5MiB live, 452.7MiB allocated
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New1 925101 935
Fresh61218
Picked145
Done044
Total1 932301 962
Accuracy
100.0%
Counts
1 962 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
26.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
26.4%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
47.4%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
48.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.8%
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
26.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (neg.f64 (cos.f64 x)) x x)))) (*.f64 x x))
26.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
48.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
48.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)))) x)
38.6%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.5%
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
48.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
47.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
47.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
39.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) #s(literal 1 binary64)))
47.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (*.f64 x x)))
48.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
73.6%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
35.6%
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
72.1%
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
73.6%
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
55.4%
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
27.8%
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
55.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 684 to 408 computations (40.4% saved)

simplify153.0ms (1.5%)

Memory
8.3MiB live, 296.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff1728
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
cost-diff0
(*.f64 x (cos.f64 x))
cost-diff0
(-.f64 x (*.f64 x (cos.f64 x)))
cost-diff320
(/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff960
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
cost-diff704
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(sin.f64 x)
cost-diff320
(*.f64 (sin.f64 x) #s(literal 1 binary64))
cost-diff384
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
Rules
4 726×lower-*.f32
4 706×lower-*.f64
3 296×lower-fma.f32
3 294×lower-fma.f64
2 780×lower-neg.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033181
058161
1111151
2208151
3470151
41077151
53483151
65259151
09033151
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
x
#s(literal 1 binary64)
(*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 x (*.f64 x (cos.f64 x)))
x
(*.f64 x (cos.f64 x))
(cos.f64 x)
(/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(cos.f64 x)
(*.f64 x (neg.f64 x))
(neg.f64 x)
Outputs
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(sin.f64 x)
x
#s(literal 1 binary64)
(*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 x (*.f64 x (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
x
(*.f64 x (cos.f64 x))
(cos.f64 x)
(/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(cos.f64 x)
(*.f64 x (neg.f64 x))
(neg.f64 x)

localize253.0ms (2.4%)

Memory
-4.4MiB live, 348.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(cos.f64 x)
accuracy0.3687260545280913
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
accuracy33.518302162112654
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
accuracy0.12890625
(*.f64 x (cos.f64 x))
accuracy4.766198550620321
(/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
accuracy10.118594131396387
(-.f64 x (*.f64 x (cos.f64 x)))
accuracy28.285315727976027
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
accuracy0
(cos.f64 x)
accuracy0.125
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
accuracy15.897915977241547
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.04348135342079
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy0
(*.f64 x x)
accuracy0.3349257947458209
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy13.334262859187087
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy0
(sin.f64 x)
accuracy0.07421875
(*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
accuracy0.12890625
(/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.2961007304614059
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
Samples
67.0ms83×2valid
61.0ms121×0valid
46.0ms17×3valid
41.0ms35×1valid
Compiler

Compiled 178 to 34 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 38.0ms (30.7% of total)
ival-cos: 28.0ms (22.6% of total)
ival-div: 20.0ms (16.2% of total)
adjust: 10.0ms (8.1% of total)
ival-sin: 10.0ms (8.1% of total)
ival-tan: 7.0ms (5.7% of total)
ival-sub: 4.0ms (3.2% of total)
ival-add: 4.0ms (3.2% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (patch (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (patch (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (patch (/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (*.f64 (sin.f64 x) #s(literal 1 binary64)) (patch (*.f64 (sin.f64 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (patch (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2)) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (patch #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 x (cos.f64 x))) (patch (-.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) (patch (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos (* 1/2 x))) (sin (* 1/2 x))) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (patch (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ x (tan (* x 1/2)))
1.0ms
x
@-inf
(* x (/ x (tan (* x 1/2))))
1.0ms
x
@inf
(* x (/ x (tan (* x 1/2))))
0.0ms
x
@inf
(+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x (neg x))))
0.0ms
x
@0
(/ 2 (* x x))

simplify322.0ms (3.1%)

Memory
-15.8MiB live, 317.7MiB allocated
Algorithm
egg-herbie
Rules
14 266×lower-fma.f64
14 266×lower-fma.f32
4 476×lower-*.f64
4 476×lower-*.f32
3 148×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301754
13541736
28251728
323031724
448511724
573131724
080311637
Stop Event
iter limit
node limit
Counts
240 → 237
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 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)
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 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ 2 (pow x 2))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ (+ 1 (cos x)) (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 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)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (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)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
2
(+ 2 (* -1/6 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) 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)
(sin x)
(sin.f64 x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -1/6 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* (pow x 2) (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (cos x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 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)))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (- 1 (cos x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (*.f64 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))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
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 (*.f64 x 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 x (*.f64 x (fma.f64 x (*.f64 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)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(* 1/2 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (*.f64 x (*.f64 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)))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (- 1 (cos x)))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(* x (+ 1 (* -1 (cos x))))
(-.f64 x (*.f64 x (cos.f64 x)))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)) x)
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
(* x (cos x))
(*.f64 x (cos.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(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))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
2
#s(literal 2 binary64)
(+ 2 (* -1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (* x (cos (* 1/2 x))) (sin (* 1/2 x)))
(/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite494.0ms (4.7%)

Memory
-17.4MiB live, 511.0MiB allocated
Rules
5 260×lower-/.f32
5 246×lower-/.f64
4 128×lower-*.f32
4 108×lower-*.f64
3 650×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033138
058128
1209122
21657116
08324116
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 021
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) (*.f64 x (neg.f64 x)))
(/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(neg.f64 x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 (sin.f64 x) x) x)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) x)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x)) x)
(/.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 x) x) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
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(sin.f64 x)
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(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

eval500.0ms (4.8%)

Memory
9.8MiB live, 277.1MiB allocated
Compiler

Compiled 28 038 to 2 306 computations (91.8% saved)

prune190.0ms (1.8%)

Memory
18.3MiB live, 501.7MiB allocated
Pruning

30 alts after pruning (21 fresh and 9 done)

PrunedKeptTotal
New1 362111 373
Fresh71017
Picked235
Done268
Total1 373301 403
Accuracy
100.0%
Counts
1 403 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.1%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
47.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
47.6%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
47.4%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
48.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.8%
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
26.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
48.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
48.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)))) x)
38.6%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
47.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
48.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
47.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
15.3%
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (neg.f64 (*.f64 x (cos.f64 x)))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
47.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (*.f64 x x)))
48.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
73.6%
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
73.6%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
38.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x))))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
48.3%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
39.1%
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
48.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
55.4%
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
2.5%
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
27.8%
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
27.8%
#s(approx (/ (/ (+ 1 (cos x)) x) x) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
55.3%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 233 to 415 computations (66.3% saved)

regimes42.0ms (0.4%)

Memory
-5.6MiB live, 105.6MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
#s(approx (/ (/ (+ 1 (cos x)) x) x) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(*.f64 x (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)))) x)
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (neg.f64 (cos.f64 x)) x x)))) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (neg.f64 (*.f64 x (cos.f64 x)))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (cos.f64 x)))) x))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 x (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
Calls

2 calls:

23.0ms
x
16.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes35.0ms (0.3%)

Memory
13.3MiB live, 95.2MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
#s(approx (/ (/ (+ 1 (cos x)) x) x) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) x)
(*.f64 x (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x)))) x)
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (neg.f64 (cos.f64 x)) x x)))) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (neg.f64 (*.f64 x (cos.f64 x)))) (/.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* 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)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

17.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
15.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
98.6%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
-20.0MiB live, 19.4MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
#s(approx (/ (/ (+ 1 (cos x)) x) x) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory
-11.7MiB live, 28.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (+ 1 (cos x)) #s(literal 2 binary64)) x) x)
#s(approx (/ (/ (+ 1 (cos x)) x) x) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))))))))
Outputs
#s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
59.7%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
79.8%2x
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
79.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
13.3MiB live, 13.3MiB allocated
Accuracy

Total -0.8b remaining (-2.7%)

Threshold costs -0.8b (-2.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- (* x x) (* x (* x (cos x)))) (* x x)) (* x x)) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
55.3%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
55.3%1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch14.0ms (0.1%)

Memory
-3.1MiB live, 39.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.00899314369093741
184.59622571132695
Samples
7.0ms128×0valid
Compiler

Compiled 204 to 130 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (61.2% of total)
ival-sub: 1.0ms (20.4% of total)
ival-div: 1.0ms (20.4% of total)
ival-mult: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00899314369093741
184.59622571132695
Compiler

Compiled 204 to 130 computations (36.3% saved)

bsearch14.0ms (0.1%)

Memory
1.7MiB live, 41.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.00899314369093741
184.59622571132695
Samples
7.0ms112×0valid
Compiler

Compiled 188 to 114 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (57.6% of total)
ival-sub: 1.0ms (19.2% of total)
ival-div: 1.0ms (19.2% of total)
ival-mult: 1.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
-30.7MiB live, 9.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
0.00899314369093741
184.59622571132695
Samples
1.0ms16×0valid
Compiler

Compiled 148 to 98 computations (33.8% saved)

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

simplify7.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043156
150156
254156
356156
457156
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* 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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* 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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* 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))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* 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))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) #s(approx (/ (- 1 (cos x)) (* 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(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(approx (/ (/ (+ 1 (cos x)) x) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness1.3s (12.6%)

Memory
-9.3MiB live, 667.0MiB allocated
Rules
16 752×lower-fma.f64
16 752×lower-fma.f32
13 382×lower-fma.f64
13 382×lower-fma.f32
5 678×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027128
045110
1180108
21550108
08540108
042284
1105284
2258284
3609284
41279284
52001284
62304284
73158284
84639284
96288284
107157284
117373284
127391284
137393284
147798284
08007266
0617
01017
14017
226817
3281017
0965617
01201624
13081624
27431612
322501612
442971612
546501612
651441612
759411612
080581522
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 272 to 127 computations (53.3% saved)

preprocess108.0ms (1%)

Memory
-7.3MiB live, 112.0MiB allocated
Remove

(abs x)

Compiler

Compiled 244 to 92 computations (62.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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