cos2 (problem 3.4.1)

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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)

sample2.2s (23.6%)

Memory
-20.3MiB live, 1 937.2MiB allocated
Samples
983.0ms2 228×2valid
539.0ms4 154×0valid
233.0ms593×3valid
124.0ms1 281×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-cos: 1.2s (72.4% of total)
adjust: 201.0ms (12.2% of total)
ival-div: 92.0ms (5.6% of total)
ival-sub: 87.0ms (5.3% of total)
ival-mult: 60.0ms (3.6% of total)
ival-true: 6.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain142.0ms (1.6%)

Memory
-13.3MiB live, 158.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-1(-3.6849558616939835e-156)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
670-0-(-.f64 #s(literal 1 binary64) (cos.f64 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))cancellation675
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u640
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow64
(*.f64 x x)underflow64
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o30
(*.f64 x x)overflow68
Confusion
Predicted +Predicted -
+1320
-2122
Precision
0.9850746268656716
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-25117
Precision?
0.9496402877697842
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms120×2valid
21.0ms268×0valid
13.0ms38×3valid
9.0ms86×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-cos: 39.0ms (65.7% of total)
adjust: 5.0ms (8.4% of total)
ival-div: 5.0ms (8.4% of total)
ival-sub: 5.0ms (8.4% of total)
ival-mult: 4.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess54.0ms (0.6%)

Memory
12.2MiB live, 48.7MiB 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))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify31.0ms (0.3%)

Memory
-11.9MiB live, 31.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-384
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)

localize49.0ms (0.5%)

Memory
2.9MiB live, 75.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(cos.f64 x)
accuracy14.321830272143712
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.023967460322588
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Samples
17.0ms60×2valid
10.0ms134×0valid
8.0ms43×1valid
6.0ms19×3valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 19.0ms (64.7% of total)
adjust: 3.0ms (10.2% of total)
ival-div: 3.0ms (10.2% of total)
ival-mult: 2.0ms (6.8% of total)
ival-sub: 2.0ms (6.8% 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
6.9MiB live, 6.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#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>) () ())
#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>) () ())
Outputs
#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 (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 (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 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)) (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 (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 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 (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)) (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 (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 -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 (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>) () ())) ())
Calls

3 calls:

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

simplify228.0ms (2.5%)

Memory
19.5MiB live, 202.6MiB 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
41290284
51996284
62309284
73163284
84640284
96288284
107165284
117380284
127398284
137400284
147806284
08015266
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 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
(+ 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)))
(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))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 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))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 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))
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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))
(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)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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))
(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)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)

rewrite213.0ms (2.3%)

Memory
-20.2MiB live, 276.4MiB 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 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (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 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 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)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (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) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 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) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.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 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 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 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))) (neg.f64 (+.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 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.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 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.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 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) 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 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) 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 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) 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 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) 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 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64)))))
(-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)))
(-.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) x) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) x)) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cos.f64 x)))
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (log1p.f64 (cos.f64 x))) #s(literal -1 binary64)))

eval140.0ms (1.5%)

Memory
30.1MiB live, 107.9MiB allocated
Compiler

Compiled 13 903 to 1 656 computations (88.1% saved)

prune103.0ms (1.1%)

Memory
-20.9MiB live, 54.0MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New66116677
Fresh000
Picked011
Done000
Total66117678
Accuracy
100.0%
Counts
678 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.6%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
53.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
53.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
17.8%
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
21.4%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
51.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
51.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
74.2%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
52.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
51.7%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
17.8%
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
53.1%
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
74.9%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
50.1%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
49.4%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
50.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 410 to 246 computations (40% saved)

simplify189.0ms (2.1%)

Memory
102.8MiB live, 168.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff256
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
cost-diff1024
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
cost-diff6592
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(/.f64 (cos.f64 x) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
cost-diff1024
(*.f64 x (/.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
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(sin.f64 x)
cost-diff384
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Rules
4 780×lower-*.f32
4 768×lower-*.f64
2 990×lower-fma.f64
2 990×lower-fma.f32
1 558×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029160
048137
194136
2257125
31227125
43201125
54437125
65234125
75878125
86549125
97681125
08022125
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 (/.f64 (cos.f64 x) x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
#s(literal 1 binary64)
(*.f64 x (/.f64 (cos.f64 x) x))
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) 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)) (*.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 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(*.f64 x (/.f64 (cos.f64 x) x))
(cos.f64 x)
x
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(*.f64 (neg.f64 x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

localize245.0ms (2.7%)

Memory
-59.0MiB live, 147.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (*.f64 (neg.f64 x) x) x)
accuracy11.423199324701423
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
accuracy22.37393032440049
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy30.86305533456764
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
accuracy0.13671875
(/.f64 (cos.f64 x) x)
accuracy0.265625
(*.f64 x (/.f64 (cos.f64 x) x))
accuracy14.321830272143712
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
accuracy16.023967460322588
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
accuracy0
(cos.f64 x)
accuracy0.05859375
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
accuracy14.321830272143712
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy15.094085875060214
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
accuracy31.662233755832005
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0
(sin.f64 x)
accuracy0.0078125
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0.16015625
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy15.41494137736023
(/.f64 (sin.f64 x) (*.f64 x x))
Samples
74.0ms134×0valid
64.0ms60×2valid
16.0ms19×3valid
15.0ms43×1valid
Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-neg: 42.0ms (34.8% of total)
ival-cos: 21.0ms (17.4% of total)
ival-div: 18.0ms (14.9% of total)
ival-mult: 13.0ms (10.8% of total)
adjust: 8.0ms (6.6% of total)
ival-sub: 6.0ms (5% of total)
ival-sin: 6.0ms (5% of total)
ival-tan: 5.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#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.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.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 #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 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())
Outputs
#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 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 (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 (* 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 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 1/2 (taylor 0 x) (#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 (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#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 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#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 (+ 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 #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 (* 1/2 x) (taylor 0 x) (#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 (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#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 (* x (+ 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)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 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)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.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 (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 1 (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.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))) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (cos.f64 x) x)) (patch (*.f64 x (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.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 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.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 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) 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) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.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 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.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 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.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 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)) (* (* (neg x) x) x))
4.0ms
x
@-inf
((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)) (* (* (neg x) x) x))
2.0ms
x
@0
((* (/ (sin x) (* x x)) (tan (/ x 2))) (sin x) (* x x) (tan (/ x 2)) (/ (- 1 (cos x)) (* x x)) (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) (cos x) (* x (/ (cos x) x)) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (- 1 (* x (/ (cos x) x))) (/ (cos x) x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (sin x) (* x x)) (* (* (neg x) x) x))

simplify369.0ms (4%)

Memory
-15.4MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Rules
15 542×lower-fma.f64
15 542×lower-fma.f32
4 772×lower-*.f64
4 772×lower-*.f32
3 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291633
13451627
28531613
325001613
448231613
570751613
080531520
Stop Event
iter limit
node limit
Counts
228 → 227
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)))
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))))
(pow x 2)
(pow x 2)
(pow x 2)
(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))))))))
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)))
1/2
(+ 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)))
(* 1/2 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))))
(* 1/2 (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
(+ 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)))
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)))
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)))
(* 1/2 (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 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)
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 x)
(* 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))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (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 x)
(sin x)
(sin x)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))
(/ (- 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 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (- 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 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (+ 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 (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (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 x)
(sin x)
(sin x)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))
(/ (- 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 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (- 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 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (- 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 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(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 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.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)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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))
(-.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))
(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 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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))
(/ (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 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.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)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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))
(-.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))
(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 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) 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))
(/ (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 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (- 1 (cos x))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 (* x (- 1 (cos x))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 (* x (- 1 (cos x))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 (* x (- 1 (cos x))))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(/ (sin x) (pow x 2))
(/.f64 (/.f64 (sin.f64 x) x) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

rewrite241.0ms (2.6%)

Memory
-16.4MiB live, 183.6MiB allocated
Rules
3 294×lower-fma.f64
3 294×lower-fma.f32
2 938×lower-/.f32
2 924×lower-/.f64
2 628×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029134
048111
1178108
2131199
0928399
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 077
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
#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 x (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x)))
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x)))
(neg.f64 x)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) x)
Outputs
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (/.f64 x (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
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(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))
(neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))

eval214.0ms (2.4%)

Memory
30.7MiB live, 389.0MiB allocated
Compiler

Compiled 28 543 to 2 741 computations (90.4% saved)

prune59.0ms (0.7%)

Memory
-6.9MiB live, 157.3MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 490201 510
Fresh8311
Picked325
Done011
Total1 501261 527
Accuracy
100.0%
Counts
1 527 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
21.6%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
21.5%
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
52.1%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
46.2%
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
51.3%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
53.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
75.5%
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
25.8%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
51.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x))
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x))
53.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
46.2%
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
2.8%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
28.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
51.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
99.8%
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
53.1%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
74.2%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
52.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
17.8%
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
74.9%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
50.1%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
49.4%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
50.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 620 to 387 computations (37.6% saved)

simplify99.0ms (1.1%)

Memory
-8.1MiB live, 106.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(/.f64 (cos.f64 x) x)
cost-diff1024
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))
cost-diff6208
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) (cos.f64 x) x)
cost-diff0
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
cost-diff640
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))
cost-diff0
(neg.f64 x)
cost-diff256
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)))
cost-diff1024
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))
cost-diff6272
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
Rules
3 078×lower-*.f32
3 066×lower-*.f64
2 986×lower-fma.f32
2 980×lower-fma.f64
1 380×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032217
058212
1114200
2304180
31592173
44352173
56232173
67290173
08003173
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))
(*.f64 (neg.f64 x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))
(fma.f64 (neg.f64 x) (cos.f64 x) x)
(neg.f64 x)
x
(cos.f64 x)
(*.f64 x x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(*.f64 x x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
Outputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)))
(fma.f64 #s(approx (cos x) #s(literal 1 binary64)) x (neg.f64 x))
(neg.f64 x)
x
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(fma.f64 (neg.f64 x) (cos.f64 x) x)
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(neg.f64 x)
x
(cos.f64 x)
(*.f64 x x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(*.f64 x x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)

localize287.0ms (3.1%)

Memory
-34.6MiB live, 352.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(/.f64 (cos.f64 x) x)
accuracy0.13671875
(*.f64 (*.f64 (neg.f64 x) x) x)
accuracy22.37393032440049
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy45.43897197208891
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))
accuracy0
(cos.f64 x)
accuracy0.05859375
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
accuracy11.389239489811677
(fma.f64 (neg.f64 x) (cos.f64 x) x)
accuracy34.572000660409564
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))
accuracy11.423199324701423
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)))
accuracy22.37393032440049
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy29.107064158401887
#s(approx (cos x) #s(literal 1 binary64))
accuracy30.86305533456764
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy32.35315812185696
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy0.0078125
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.05859375
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
accuracy0.1328125
(/.f64 (sin.f64 x) x)
accuracy0.21409123016428752
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
Samples
92.0ms60×2valid
55.0ms19×3valid
45.0ms134×0valid
29.0ms43×1valid
Compiler

Compiled 208 to 33 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-div: 55.0ms (36.5% of total)
ival-mult: 30.0ms (19.9% of total)
ival-cos: 26.0ms (17.3% of total)
adjust: 13.0ms (8.6% of total)
ival-add: 6.0ms (4% of total)
ival-sin: 6.0ms (4% of total)
ival-sub: 5.0ms (3.3% of total)
ival-tan: 5.0ms (3.3% of total)
const: 4.0ms (2.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
-8.8MiB live, 29.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #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 #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) x) (patch (/.f64 (cos.f64 x) x) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) (patch (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 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) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (patch (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #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 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 1/2 (taylor 0 x) (#s(alt #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #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) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #<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 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) 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 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/2 (pow x 2)) 1)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) (patch (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (patch (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) 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 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) (patch (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x 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 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x 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 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) (patch (/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 3)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) 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 (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) 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 (fma.f64 (neg.f64 x) (cos.f64 x) x) (patch (fma.f64 (neg.f64 x) (cos.f64 x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) 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 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (pow x 3)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/24 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 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 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>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (patch (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 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) (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 (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (+ (* (neg x) (cos x)) x) (* x x)) (/ (/ (+ (* (neg x) (cos x)) x) (* x x)) x) (+ (* (neg x) (cos x)) x) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (cos x) (tan (* 1/2 x)) (cos x) (* (* (neg x) x) x))
4.0ms
x
@inf
((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (+ (* (neg x) (cos x)) x) (* x x)) (/ (/ (+ (* (neg x) (cos x)) x) (* x x)) x) (+ (* (neg x) (cos x)) x) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (cos x) (tan (* 1/2 x)) (cos x) (* (* (neg x) x) x))
2.0ms
x
@0
((/ (* (/ (sin x) x) (tan (* 1/2 x))) x) (* (/ (sin x) x) (tan (* 1/2 x))) (/ (sin x) x) (sin x) (/ (/ (- 1 (cos x)) x) x) (+ (* (* x x) -1/24) 1/2) (* x x) (/ (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (* (* (neg x) x) x)) (* (* (neg x) x) (/ (cos x) x)) (- (neg x) (* (* (neg x) x) (/ (cos x) x))) (neg x) (/ (+ (* (neg x) (cos x)) x) (* x x)) (/ (/ (+ (* (neg x) (cos x)) x) (* x x)) x) (+ (* (neg x) (cos x)) x) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (cos x) (tan (* 1/2 x)) (cos x) (* (* (neg x) x) x))

simplify170.0ms (1.9%)

Memory
38.8MiB live, 228.4MiB allocated
Algorithm
egg-herbie
Rules
15 160×lower-fma.f64
15 160×lower-fma.f32
4 440×lower-*.f64
4 440×lower-*.f32
3 084×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421883
13951874
29901855
327701855
447481855
083961747
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)))
(* 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
(+ 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)))
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))))
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)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (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 x)
(* 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))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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))))
1/2
(+ 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)))
(* 1/2 (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))))
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)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ 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)
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)))
(* 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))))))))
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)))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (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))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(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 (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 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))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* -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)))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(cos x)
(cos x)
(cos x)
(cos 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (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))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(/ (sin x) x)
(sin x)
(sin x)
(sin x)
(sin x)
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* -1/24 (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))
(pow x 2)
(pow x 2)
(pow x 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 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -1 (/ (- (cos x) 1) x))
(* -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 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(* -1 (* x (- (cos x) 1)))
(/ (+ 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 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(cos x)
(cos x)
(cos x)
(cos 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
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(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 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)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(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 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (/ (- (cos x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (/ (- (cos x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (/ (- (cos x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (/ (- (cos x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (- (cos x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (* x (- (cos x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (* x (- (cos x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(* -1 (* x (- (cos x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #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)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

rewrite222.0ms (2.4%)

Memory
9.8MiB live, 326.4MiB allocated
Rules
4 832×lower-/.f32
4 816×lower-/.f64
4 568×lower-fma.f32
4 562×lower-fma.f64
3 522×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032173
058164
1232154
21792146
08772144
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 229
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))
(-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)))
(neg.f64 x)
(/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
(fma.f64 (neg.f64 x) (cos.f64 x) x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) x)
Outputs
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))
(*.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x)))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) x)))
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(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (neg.f64 x))))
(fma.f64 x #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 x (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 x (neg.f64 (cos.f64 x)) x)
(fma.f64 x (cos.f64 x) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (neg.f64 (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64))))) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (fma.f64 (cos.f64 x) x #s(literal 0 binary64)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (neg.f64 x) x))
(-.f64 (*.f64 (cos.f64 x) x) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x)
(+.f64 (neg.f64 x) (neg.f64 (*.f64 (cos.f64 x) (neg.f64 x))))
(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 x (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (cos.f64 x))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (cos.f64 x)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (cos.f64 x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(pow.f64 (/.f64 x (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) (*.f64 x #s(literal 1 binary64)))
(/.f64 (cos.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(*.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) x)
(/.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cos.f64 x) x)))
(/.f64 x (/.f64 x (cos.f64 x)))
(cos.f64 x)
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval258.0ms (2.8%)

Memory
0.1MiB live, 391.9MiB allocated
Compiler

Compiled 36 988 to 3 713 computations (90% saved)

prune81.0ms (0.9%)

Memory
-19.2MiB live, 182.6MiB allocated
Pruning

42 alts after pruning (35 fresh and 7 done)

PrunedKeptTotal
New1 739181 757
Fresh11718
Picked145
Done033
Total1 741421 783
Accuracy
100.0%
Counts
1 783 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
21.6%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
3.5%
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
3.4%
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
21.5%
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
52.1%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
46.2%
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
3.5%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
2.5%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
51.3%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
2.7%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
53.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
75.5%
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
25.8%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
51.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x))
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x))
53.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
46.2%
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
2.6%
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
2.7%
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
5.8%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
2.8%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
2.1%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
28.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
51.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
2.8%
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
28.2%
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
99.8%
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
53.1%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
74.2%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
2.4%
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
3.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
52.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
51.5%
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) x) (/.f64 (/.f64 x (*.f64 (neg.f64 x) x)) x))
3.5%
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
74.9%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.7%
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
50.1%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
49.4%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
50.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 163 to 715 computations (38.5% saved)

simplify103.0ms (1.1%)

Memory
12.6MiB live, 86.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(cos.f64 x)
cost-diff0
(fma.f64 (cos.f64 x) x (neg.f64 x))
cost-diff6208
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff64
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
cost-diff256
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))))
cost-diff1664
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
cost-diff6208
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff0
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
cost-diff128
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x))
cost-diff1024
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))
cost-diff6208
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
cost-diff-384
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff0
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
cost-diff0
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
Rules
3 324×lower-fma.f32
3 322×lower-fma.f64
2 228×lower-*.f32
2 214×lower-*.f64
1 632×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032269
057257
1109257
2289219
31677197
45458197
57453197
08039197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 x x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))))
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
#s(literal 1 binary64)
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(cos.f64 x)
x
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
Outputs
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) x)
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) x)
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x))
(*.f64 (-.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
(/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
(*.f64 x x)
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) x)
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))))
(*.f64 (-.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (neg.f64 x))
#s(literal 1 binary64)
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(fma.f64 (cos.f64 x) x (neg.f64 x))
(cos.f64 x)
x
(neg.f64 x)
(*.f64 (*.f64 (neg.f64 x) x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 (neg.f64 x) x)

localize195.0ms (2.1%)

Memory
-7.1MiB live, 242.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 x)
accuracy0.13671875
(*.f64 (*.f64 (neg.f64 x) x) x)
accuracy11.389239489811677
(fma.f64 (cos.f64 x) x (neg.f64 x))
accuracy22.37393032440049
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy11.423199324701423
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))))
accuracy22.37393032440049
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy29.107064158401887
#s(approx (cos x) #s(literal 1 binary64))
accuracy30.810288756084006
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
accuracy11.423199324701423
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x))
accuracy22.37393032440049
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
accuracy29.107064158401887
#s(approx (cos x) #s(literal 1 binary64))
accuracy30.86305533456764
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy14.321830272143712
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
accuracy16.023967460322588
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
accuracy29.107064158401887
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
accuracy0.0078125
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.05859375
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
accuracy0.21484375
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy15.094085875060214
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
Samples
56.0ms60×2valid
46.0ms134×0valid
27.0ms19×3valid
21.0ms43×1valid
Compiler

Compiled 245 to 31 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div: 36.0ms (32% of total)
ival-cos: 28.0ms (24.9% of total)
ival-mult: 19.0ms (16.9% of total)
adjust: 9.0ms (8% of total)
ival-tan: 6.0ms (5.3% of total)
ival-sin: 5.0ms (4.4% of total)
ival-sub: 4.0ms (3.6% of total)
ival-add: 4.0ms (3.6% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
3.3MiB live, 39.0MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())
#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) (patch #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (patch (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (patch (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (patch (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) 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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) (patch (/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (patch (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<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 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<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 #s(literal 1/2 binary64) x)) (patch (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (cos x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (patch (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (cos x))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) (patch (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (patch (/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (cos x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 x) x (neg.f64 x)) (patch (fma.f64 (cos.f64 x) x (neg.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 (* -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 (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt #s(approx (cos x) #s(literal 1 binary64)) (patch #s(approx (cos x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) x) (patch (*.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@-inf
((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (* (/ (cos x) x) (* x x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (/ (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (* (* (neg x) x) x)) (/ 1 (/ x (* (cos x) (* (neg x) x)))) (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (/ x (* (cos x) (* (neg x) x))) (/ (+ (* (cos x) x) (neg x)) (* (* (neg x) x) x)) (+ (* (cos x) x) (neg x)) (cos x) (neg x) (cos x) (* (* (neg x) x) x))
3.0ms
x
@inf
((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (* (/ (cos x) x) (* x x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (/ (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (* (* (neg x) x) x)) (/ 1 (/ x (* (cos x) (* (neg x) x)))) (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (/ x (* (cos x) (* (neg x) x))) (/ (+ (* (cos x) x) (neg x)) (* (* (neg x) x) x)) (+ (* (cos x) x) (neg x)) (cos x) (neg x) (cos x) (* (* (neg x) x) x))
1.0ms
x
@0
((/ (/ (* (tan (* 1/2 x)) (sin x)) x) x) (/ (* (tan (* 1/2 x)) (sin x)) x) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (- 1 (* x (/ (cos x) x))) (* x (/ (cos x) x)) (* x x) (/ (- 1 (* x (/ (cos x) x))) (* x x)) (/ (+ (* (/ (cos x) x) (* x x)) (neg x)) (* (* (neg x) x) x)) (* (/ (cos x) x) (* x x)) (+ (* (/ (cos x) x) (* x x)) (neg x)) (/ (cos x) x) (/ (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (* (* (neg x) x) x)) (/ 1 (/ x (* (cos x) (* (neg x) x)))) (- (neg x) (/ 1 (/ x (* (cos x) (* (neg x) x))))) (/ x (* (cos x) (* (neg x) x))) (/ (+ (* (cos x) x) (neg x)) (* (* (neg x) x) x)) (+ (* (cos x) x) (neg x)) (cos x) (neg x) (cos x) (* (* (neg x) x) x))

simplify164.0ms (1.8%)

Memory
27.8MiB live, 222.5MiB allocated
Algorithm
egg-herbie
Rules
15 426×lower-fma.f64
15 426×lower-fma.f32
4 762×lower-*.f64
4 762×lower-*.f32
3 512×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342033
13662027
28882021
326092015
450952015
083511904
Stop Event
iter limit
node limit
Counts
264 → 263
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)))
(* 1/2 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))))
(* 1/2 (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))))
(* 1/2 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))))))))
(* 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
(+ 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)))
(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)))
1/2
(+ 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)))
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))))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ 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)
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 x)
(* 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))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(/ -1 x)
(/ (- (* -1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (- (* -5/24 (pow x 2)) 1/2)) 1) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) 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)))
(* -1/2 (pow x 3))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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)))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (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))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin 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)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 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) 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)))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (+ 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 (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(/ -1 (* x (cos x)))
(/ -1 (* x (cos x)))
(/ -1 (* x (cos x)))
(/ -1 (* x (cos x)))
(* -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)))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(* x (- (cos x) 1))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(/ (* (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))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (* (sin 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)))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 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 (* -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))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (cos x) x)
(/ (- 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 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (cos x)))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(* -1 (* x (- 1 (cos x))))
(/ -1 (* x (cos x)))
(/ -1 (* x (cos x)))
(/ -1 (* x (cos x)))
(/ -1 (* x (cos x)))
(/ (+ 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 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(* -1 (* x (+ 1 (* -1 (cos x)))))
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
(* -1 (pow x 3))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -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) (- (* -5/24 (pow x 2)) 1/2)) 1) x)
(fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -61/720 (pow x 2)) 5/24)) 1/2)) 1) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(* (pow x 3) (- (* 1/24 (pow x 2)) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #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))
(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)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #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)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (/ (- (cos x) 1) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* x (- (cos x) 1))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (* x (cos (* 1/2 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #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))
(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)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* x (cos x))
(*.f64 (cos.f64 x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #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)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (cos x)))
(*.f64 (neg.f64 (cos.f64 x)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (- 1 (cos x))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ -1 (* x (cos x)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (cos x)))))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))

rewrite263.0ms (2.9%)

Memory
-22.3MiB live, 338.0MiB allocated
Rules
4 278×lower-/.f32
4 262×lower-/.f64
4 014×lower-fma.f32
4 012×lower-fma.f64
3 066×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032211
057195
1214189
21639144
09226144
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 407
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))
(+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(cos.f64 x)
(neg.f64 x)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) x)
Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) (*.f64 (fma.f64 (cos.f64 x) x x) (*.f64 x x))) (*.f64 (fma.f64 (cos.f64 x) x x) (fma.f64 (cos.f64 x) x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (cos.f64 x) x x))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) #s(literal -1 binary64)))
(neg.f64 (-.f64 x (*.f64 (cos.f64 x) x)))
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(fma.f64 #s(literal -1 binary64) x (*.f64 (cos.f64 x) x))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (cos.f64 x) x))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) (*.f64 (cos.f64 x) x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) x (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (cos.f64 x) x))
(fma.f64 x (cos.f64 x) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64)) (+.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) x) x)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x)))
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (cos.f64 x) x)))
(-.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 x) x x))))
(+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) x (neg.f64 x)))
(+.f64 (*.f64 (cos.f64 x) x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (cos.f64 x) x))
(*.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 x (/.f64 (cos.f64 x) x))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) x)) x)
(/.f64 (neg.f64 (*.f64 x (neg.f64 (cos.f64 x)))) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 x) x))) x)
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (*.f64 x (neg.f64 (cos.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (*.f64 (cos.f64 x) x) x)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 x (cos.f64 x))))
(/.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cos.f64 x)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 x (/.f64 x (cos.f64 x)))
(neg.f64 (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
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(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 x) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)
(*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x))
#s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x)) x)
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(/.f64 (neg.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(/.f64 (neg.f64 x) (neg.f64 (/.f64 x #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)
(/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) x)))
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(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (exp.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))

eval380.0ms (4.2%)

Memory
45.8MiB live, 341.0MiB allocated
Compiler

Compiled 42 512 to 3 510 computations (91.7% saved)

prune104.0ms (1.1%)

Memory
-37.3MiB live, 184.7MiB allocated
Pruning

43 alts after pruning (32 fresh and 11 done)

PrunedKeptTotal
New1 972121 984
Fresh102030
Picked145
Done077
Total1 983432 026
Accuracy
100.0%
Counts
2 026 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.7%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
28.1%
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
52.1%
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
21.6%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
3.4%
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
21.5%
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
52.1%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
46.2%
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
3.5%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
2.5%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
51.3%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
2.7%
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
51.3%
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
53.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
75.5%
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
25.8%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
51.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x))
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x))
53.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
46.2%
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
31.5%
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
31.4%
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
31.1%
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
5.8%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
2.1%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
28.3%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
28.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
51.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
27.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
2.6%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
2.8%
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
28.2%
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
99.8%
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
53.1%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
74.2%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
2.4%
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
52.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
51.6%
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
74.9%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
51.7%
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
50.1%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
49.4%
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
50.5%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 616 to 621 computations (61.6% saved)

regimes61.0ms (0.7%)

Memory
7.5MiB live, 45.0MiB allocated
Counts
67 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) 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 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.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) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) x) (/.f64 (/.f64 x (*.f64 (neg.f64 x) x)) x))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x 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 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
Outputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
Calls

2 calls:

41.0ms
x
17.0ms
(/.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 9 to 7 computations (22.2% saved)

regimes61.0ms (0.7%)

Memory
-7.8MiB live, 68.1MiB allocated
Counts
65 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) 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 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (cos.f64 x) x (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 x) x))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 x) x) (*.f64 x x)) x)
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.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) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (neg.f64 x) x)) x) (/.f64 (/.f64 x (*.f64 (neg.f64 x) x)) x))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x 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))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

35.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
23.0ms
x
Results
AccuracySegmentsBranch
99.5%2x
99.2%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes24.0ms (0.3%)

Memory
10.0MiB live, 47.7MiB allocated
Counts
37 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

12.0ms
x
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
77.0%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.2%)

Memory
-16.5MiB live, 21.7MiB allocated
Counts
35 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 #s(literal -5/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal -5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (neg.f64 x)) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
78.7%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
26 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
Calls

2 calls:

8.0ms
x
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
54.8%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
76.6%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
23 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (neg.f64 x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) x) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (fma.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x) x) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) x)) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x) (neg.f64 x)) x) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
76.4%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
10 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
76.4%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
8 → 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) x) x)
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
76.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes34.0ms (0.4%)

Memory
-34.0MiB live, 4.1MiB 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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
75.9%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total -1.0b remaining (-3%)

Threshold costs -1b (-3%)

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 (/ (/ (- 1 (cos x)) x) x) (fma.f64 (*.f64 x 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
50.5%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
50.5%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.00960471641280759
112.01358156895861
Samples
6.0ms128×0valid
Compiler

Compiled 171 to 138 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 2.0ms (50% of total)
ival-sub: 1.0ms (25% of total)
ival-div: 1.0ms (25% of total)
ival-mult: 1.0ms (25% 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
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00960471641280759
112.01358156895861
Compiler

Compiled 171 to 138 computations (19.3% saved)

bsearch21.0ms (0.2%)

Memory
-21.5MiB live, 21.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.00960471641280759
112.01358156895861
Samples
8.0ms112×0valid
Compiler

Compiled 259 to 194 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (70.5% of total)
ival-sub: 1.0ms (17.6% of total)
ival-div: 1.0ms (17.6% of total)
ival-mult: 1.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
347167673958984770.0
438209819853608300.0
Samples
3.0ms48×0valid
Compiler

Compiled 89 to 67 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-cos: 2.0ms (82.6% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-7.8MiB live, 26.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
5.444930580768965e+25
1.572758206431221e+28
Samples
11.0ms128×0valid
Compiler

Compiled 235 to 162 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 6.0ms (68.5% of total)
ival-sub: 1.0ms (11.4% of total)
ival-div: 1.0ms (11.4% of total)
ival-mult: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
-5.5MiB live, 31.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
5.444930580768965e+25
1.572758206431221e+28
Samples
7.0ms96×0valid
Compiler

Compiled 203 to 154 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (60.6% of total)
ival-mult: 1.0ms (20.2% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
5.104912180763815e+38
1.2911835955286628e+39
Samples
6.0ms80×0valid
Compiler

Compiled 111 to 90 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 3.0ms (74% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-8.8MiB live, 28.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
6.112119691575585e+76
2.4817060343548675e+77
Samples
8.0ms96×0valid
Compiler

Compiled 71 to 76 computations (-7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 5.0ms (79.2% of total)
ival-div: 1.0ms (15.8% of total)
ival-mult: 1.0ms (15.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify58.0ms (0.6%)

Memory
-6.2MiB live, 76.4MiB allocated
Algorithm
egg-herbie
Rules
322×distribute-lft-neg-in-binary64-*.f64-neg.f64
240×unsub-neg-binary64--.f64-neg.f64-+.f64
196×neg-mul-1-binary64-*.f64-neg.f64
160×neg-sub0-binary64--.f64-neg.f64
142×distribute-neg-in-binary64-+.f64-neg.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
081323
1113323
2159323
3207322
4246321
5285321
6354321
7461321
8638321
9826321
10975321
111076321
121120321
131129321
141130321
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)))
(if (<=.f64 x #s(literal 380000000000000000 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))))
(if (<=.f64 x #s(literal 3800000000000000215419453440 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)))
(if (<=.f64 x #s(literal 15500000000000000343396057088 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)))
(if (<=.f64 x #s(literal 620000000000000035155232327271721205760 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 111999999999999994986331580283874830516910144784665608417822386580986248822784 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) x)
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) x)
(if (<=.f64 x #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x))))) (*.f64 (*.f64 (neg.f64 x) x) x)))
(if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (* (cos x) (* (neg x) x))) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) x)))) x) (*.f64 (*.f64 x x) x)))
(if (<=.f64 x #s(literal 380000000000000000 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) x))))
(if (<=.f64 x #s(literal 380000000000000000 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (neg.f64 x))))
(if (<=.f64 x #s(literal 3800000000000000215419453440 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)))
(if (<=.f64 x #s(literal 3800000000000000215419453440 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(approx (* x (/ (cos x) x)) #s(literal 1 binary64)) x) (*.f64 x x)) x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 15500000000000000343396057088 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)))
(if (<=.f64 x #s(literal 15500000000000000343396057088 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 620000000000000035155232327271721205760 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
(if (<=.f64 x #s(literal 111999999999999994986331580283874830516910144784665608417822386580986248822784 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

soundness1.8s (19.7%)

Memory
8.9MiB live, 793.0MiB allocated
Rules
16 752×lower-fma.f64
16 752×lower-fma.f32
15 542×lower-fma.f64
15 542×lower-fma.f32
15 426×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342033
13662027
28882021
326092015
450952015
083511904
032211
057195
1214189
21639144
09226144
032173
058164
1232154
21792146
08772144
042284
1105284
2258284
3609284
41290284
51996284
62309284
73163284
84640284
96288284
107165284
117380284
127398284
137400284
147806284
08015266
01291633
13451627
28531613
325001613
448231613
570751613
080531520
0617
01017
14017
226817
3281017
0965617
029134
048111
1178108
2131199
0928399
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 536 to 249 computations (53.5% saved)

preprocess84.0ms (0.9%)

Memory
7.2MiB live, 80.9MiB allocated
Remove

(abs x)

Compiler

Compiled 504 to 182 computations (63.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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