cos2 (problem 3.4.1)

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
3.8MiB live, 3.8MiB 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)

sample2.3s (22.6%)

Memory
40.5MiB live, 1 915.0MiB allocated
Samples
821.0ms4 185×0valid
809.0ms2 233×2valid
243.0ms1 270×1valid
211.0ms568×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-cos: 1.2s (72.9% of total)
ival-sub: 185.0ms (11.2% of total)
ival-div: 109.0ms (6.6% of total)
adjust: 86.0ms (5.2% of total)
ival-mult: 54.0ms (3.3% 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

explain154.0ms (1.5%)

Memory
7.1MiB live, 163.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
681(-2.0699387396910448e+161)1(2.0405903028727827e-155)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
652(4.195864360231981e+179)1(-1.5315613377490158e+155)(-.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))cancellation662
/.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/o40
(*.f64 x x)overflow62
Confusion
Predicted +Predicted -
+1270
-7122
Precision
0.9477611940298507
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12700
-71121
Precision?
0.9407407407407408
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms280×0valid
40.0ms142×2valid
8.0ms66×1valid
8.0ms24×3valid
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-cos: 41.0ms (62.8% of total)
ival-sub: 9.0ms (13.8% of total)
ival-div: 5.0ms (7.7% of total)
adjust: 5.0ms (7.7% of total)
ival-mult: 4.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess55.0ms (0.5%)

Memory
-20.6MiB live, 53.9MiB allocated
Algorithm
egg-herbie
Rules
204×lower-fma.f64
204×lower-fma.f32
162×times-frac
142×times-frac
136×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

(abs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify23.0ms (0.2%)

Memory
32.5MiB live, 32.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Rules
204×lower-fma.f64
204×lower-fma.f32
142×times-frac
136×lower-*.f32
135×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize55.0ms (0.5%)

Memory
-9.6MiB live, 67.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(cos.f64 x)
accuracy12.959075987135733
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy15.82288766593258
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Samples
25.0ms71×2valid
11.0ms140×0valid
8.0ms12×3valid
3.0ms33×1valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 20.0ms (56.4% of total)
adjust: 7.0ms (19.8% of total)
ival-sub: 4.0ms (11.3% of total)
ival-div: 3.0ms (8.5% of total)
ival-mult: 2.0ms (5.6% 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
3.6MiB live, 3.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 (cos x)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify259.0ms (2.5%)

Memory
-7.8MiB live, 187.9MiB allocated
Algorithm
egg-herbie
Rules
8 376×lower-fma.f64
8 376×lower-fma.f32
1 948×lower-*.f64
1 948×lower-*.f32
784×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite677.0ms (6.5%)

Memory
-21.1MiB live, 368.9MiB allocated
Rules
2 368×lower-/.f32
2 367×lower-/.f64
1 990×lower-fma.f64
1 990×lower-fma.f32
1 532×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval77.0ms (0.7%)

Memory
12.1MiB live, 158.8MiB allocated
Compiler

Compiled 15 767 to 1 640 computations (89.6% saved)

prune149.0ms (1.4%)

Memory
4.2MiB live, 299.7MiB allocated
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New65324677
Fresh000
Picked011
Done000
Total65325678
Accuracy
100.0%
Counts
678 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
54.0%
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
30.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
55.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
55.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
18.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
24.0%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x))
47.1%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
54.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
3.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
19.0%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
74.4%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
54.0%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
54.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.2%
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
55.1%
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
55.2%
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
75.1%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
54.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
47.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
48.2%
#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)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)))
48.6%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 635 to 372 computations (41.4% saved)

simplify80.0ms (0.8%)

Memory
-10.8MiB live, 27.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (cos.f64 x))
cost-diff0
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff1728
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
cost-diff0
(/.f64 (cos.f64 x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff1024
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff0
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (*.f64 x x))
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
cost-diff384
(/.f64 x #s(literal 2 binary64))
Rules
412×lower-fma.f32
411×lower-fma.f64
355×times-frac
344×lower-*.f32
341×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025132
041126
170120
2124120
3226120
4386120
5554120
6752120
7902120
81233120
91688120
102161120
112387120
122590120
132677120
142693120
152693120
162693120
02693120
Stop Event
iter limit
saturated
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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 x x)
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
x
(*.f64 x x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (cos.f64 x) (*.f64 x x))
(cos.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 x x)

localize160.0ms (1.5%)

Memory
8.2MiB live, 163.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (cos.f64 x))
accuracy0
(cos.f64 x)
accuracy0.4215138907778164
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
accuracy29.236362970055875
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
accuracy0
(cos.f64 x)
accuracy0.4215138907778164
(/.f64 (cos.f64 x) (*.f64 x x))
accuracy0.4264418816894385
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy28.621267849513323
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
accuracy0
(cos.f64 x)
accuracy0.4264418816894385
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy12.959075987135733
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy16.141163945638667
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy32.89278526608715
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
accuracy0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy0
(sin.f64 x)
accuracy0.15625
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy15.389418199985
(/.f64 (sin.f64 x) (*.f64 x x))
Samples
93.0ms117×1valid
39.0ms139×0valid
Compiler

Compiled 133 to 24 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-cos: 20.0ms (25.1% of total)
ival-div: 18.0ms (22.6% of total)
ival-mult: 13.0ms (16.3% of total)
ival-sub: 6.0ms (7.5% of total)
ival-add: 6.0ms (7.5% of total)
ival-sin: 6.0ms (7.5% of total)
ival-tan: 5.0ms (6.3% of total)
adjust: 4.0ms (5% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-20.3MiB live, 16.5MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 x)) (patch (-.f64 #s(literal 1 binary64) (cos.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) (*.f64 x x)) (patch (/.f64 (cos.f64 x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 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 (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 2 binary64)) (patch (/.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/6 (pow x 2))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x) (taylor 0 x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (sin x) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 x) (*.f64 x x)) (patch (/.f64 (sin.f64 x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))) (taylor 0 x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (patch #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (pow x 2)) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos x) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (patch (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (pow x 2)) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (taylor 0 x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (cos x)) (taylor -inf x) (#s(alt (neg.f64 (cos.f64 x)) (patch (neg.f64 (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* 1/24 (pow x 2)))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) (taylor 0 x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (taylor -inf x) (#s(alt (tan.f64 (/.f64 x #s(literal 2 binary64))) (patch (tan.f64 (/.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ())
Calls

51 calls:

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

simplify227.0ms (2.2%)

Memory
28.4MiB live, 270.8MiB allocated
Algorithm
egg-herbie
Rules
10 129×lower-fma.f64
10 129×lower-fma.f32
2 233×lower-+.f64
2 233×lower-+.f32
1 869×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01071454
12701454
27011440
321271436
440851436
571521432
080831358
Stop Event
iter limit
node limit
Counts
204 → 203
Calls
Call 1
Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ 1 x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
(/ (sin x) (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
(/ (cos x) (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
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 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (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 (sin.f64 x) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) 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 (*.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)) x) x #s(literal 1 binary64)) x)
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/ (sin x) (pow x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (*.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)) x) (*.f64 x x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.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 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.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 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (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 (*.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 (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))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.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))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1/2
#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 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))
(/.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)) (*.f64 x x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/ (cos x) (pow x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
1/2
#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 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(-.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(-.f64 (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 #s(literal 1 binary64) (*.f64 x x)))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(* -1 (/ (cos x) (pow x 2)))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(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 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 x))
(* -1 (cos x))
(neg.f64 (cos.f64 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 (*.f64 #s(literal 1/240 binary64) 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 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x #s(literal 1/24 binary64)) (*.f64 x x) #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 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))))
(/ (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
#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 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/24 binary64)) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite205.0ms (2%)

Memory
6.6MiB live, 277.5MiB allocated
Rules
2 981×lower-fma.f32
2 980×lower-fma.f64
1 899×lower-/.f32
1 893×lower-/.f64
1 523×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025105
04193
115191
2158091
0883491
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 358
Calls
Call 1
Inputs
(/.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (*.f64 x x))
(sin.f64 x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(neg.f64 (cos.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(cos.f64 x)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (sin.f64 x) x))
(*.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 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)))
(*.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)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.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 (/.f64 x (sin.f64 x)) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (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 (sin.f64 x) (*.f64 x 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 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x) x)
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.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)
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x)) (*.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 (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 (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 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 (*.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 (*.f64 x x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.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 x) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (tan.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))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x (sin.f64 x)) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (cos.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (cos.f64 x)))
(/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x))
(/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)
(/.f64 (pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (cos.f64 x)) x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (cos.f64 x)) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (cos.f64 x))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (cos.f64 x)))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(neg.f64 (cos.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))) (cos.f64 x))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 x)) (cos.f64 x))
(-.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (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 x #s(literal -1/2 binary64))))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(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 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.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 x #s(literal -1/2 binary64))))
(/.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))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (cos.f64 (*.f64 x #s(literal -1/2 binary64))))))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(+.f64 #s(literal 0 binary64) (cos.f64 x))

eval331.0ms (3.2%)

Memory
-7.5MiB live, 419.6MiB allocated
Compiler

Compiled 36 153 to 2 033 computations (94.4% saved)

prune228.0ms (2.2%)

Memory
19.5MiB live, 382.6MiB allocated
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New1 815171 832
Fresh91019
Picked145
Done011
Total1 825321 857
Accuracy
100.0%
Counts
1 857 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
47.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
53.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
26.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
54.4%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
47.1%
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x))
30.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
55.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
55.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
18.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
47.1%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
54.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
3.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
54.1%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
74.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
54.0%
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
54.0%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.2%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
47.0%
(*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
54.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
54.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
22.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
47.0%
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
53.9%
(*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
47.9%
(*.f64 #s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (*.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)) x) x #s(literal 1 binary64)) x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
47.6%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
48.2%
#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)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
48.6%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 811 to 466 computations (42.5% saved)

simplify175.0ms (1.7%)

Memory
-2.0MiB live, 170.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x (cos.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff320
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
cost-diff1280
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff0
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
cost-diff0
#s(approx (neg (cos x)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff576
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 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
(*.f64 #s(literal 1/2 binary64) x)
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)) (*.f64 x x))
Rules
2 186×lower-*.f32
2 178×lower-*.f64
2 174×lower-fma.f32
2 172×lower-fma.f64
1 369×lower-neg.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033186
056176
1108171
2222169
3636165
41512165
52862165
64723165
08558165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 x 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)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (neg (cos x)) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
(*.f64 x x)
x
(*.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(cos.f64 x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
Outputs
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (sin.f64 x))
(*.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 x x)
#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 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (neg (cos x)) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
x
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 x (*.f64 x (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)

localize215.0ms (2.1%)

Memory
-14.4MiB live, 325.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 x (*.f64 x (cos.f64 x)))
accuracy0.125
(*.f64 x (cos.f64 x))
accuracy11.071217007049416
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
accuracy45.52106216032432
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
accuracy0.14453125
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
accuracy0.3115984425072816
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
accuracy12.959075987135733
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy15.188657951463119
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy0
(*.f64 x x)
accuracy0.4215138907778164
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))
accuracy29.236362970055875
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
accuracy30.480009006811205
#s(approx (neg (cos x)) #s(literal -1 binary64))
accuracy0
(*.f64 x x)
accuracy0.11328125
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
accuracy33.62017600615134
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
accuracy0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0
(sin.f64 x)
accuracy0.17578125
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy15.82288766593258
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
Samples
68.0ms71×2valid
49.0ms139×0valid
31.0ms12×3valid
14.0ms34×1valid
Compiler

Compiled 177 to 32 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-cos: 31.0ms (28.7% of total)
ival-mult: 24.0ms (22.3% of total)
ival-div: 20.0ms (18.5% of total)
adjust: 9.0ms (8.3% of total)
ival-tan: 6.0ms (5.6% of total)
ival-sin: 5.0ms (4.6% of total)
ival-sub: 4.0ms (3.7% of total)
const: 4.0ms (3.7% of total)
ival-add: 3.0ms (2.8% of total)
ival-neg: 2.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
31.4MiB live, 31.4MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) 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 (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (cos x)) #s(literal -1 binary64)) (patch #s(approx (neg (cos x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 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 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 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)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.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 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor -inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor -inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor -inf 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 (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) (taylor -inf 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 (/ (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 (/ (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 (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (cos x))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (patch (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (cos x)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (cos.f64 x))) (patch (*.f64 x (*.f64 x (cos.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (cos x)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 x)) (patch (*.f64 x (cos.f64 x)) #<representation binary64>) () ())) ())
Calls

60 calls:

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

simplify233.0ms (2.2%)

Memory
-74.4MiB live, 331.5MiB allocated
Algorithm
egg-herbie
Rules
7 743×lower-fma.f64
7 743×lower-fma.f32
2 215×lower-*.f64
2 215×lower-*.f32
1 847×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371864
13871864
29881836
331801834
460751834
572521834
080181732
Stop Event
iter limit
node limit
Counts
240 → 238
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(* 1/2 (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))))
(/ (* (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 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)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* -1/24 (pow x 2)))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) (pow x 2))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
(* -1 (/ (cos x) (pow x 2)))
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1)
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
(* -1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (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)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ 2 x)
(/ (+ 2 (* 1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) x)
(/ (+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (pow x 2))))))) x)
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(/ x (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 (pow x 4))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(* (pow x 2) (- 1 (cos x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
(* (pow x 2) (cos x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))) (sin.f64 x))
(/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))
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(*.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.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))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) 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 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(* 1/2 (pow x 4))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(* (pow x 2) (- 1 (cos x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/2 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(*.f64 (fma.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) (*.f64 x x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
(* (pow x 2) (cos x))
(*.f64 (*.f64 (cos.f64 x) x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* -1/2 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(fma.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) (*.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))
(*.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)

rewrite250.0ms (2.4%)

Memory
31.7MiB live, 348.3MiB allocated
Rules
2 570×lower-*.f32
2 562×lower-*.f64
2 225×lower-/.f32
2 219×lower-/.f64
2 087×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033150
056135
1205131
21550131
08220131
Stop Event
iter limit
node limit
iter limit
Counts
20 → 985
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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(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)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (neg (cos x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x))))
(*.f64 x (*.f64 x (cos.f64 x)))
(sin.f64 x)
(*.f64 x (cos.f64 x))
Outputs
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) x) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) x) (sin.f64 x)) x)
(/.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (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 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (*.f64 (/.f64 x (neg.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (+.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 x (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (*.f64 x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) x) (/.f64 (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) (+.f64 x (*.f64 (cos.f64 x) x))))
(*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x)
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
(pow.f64 (/.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))))) (neg.f64 (neg.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (cos.f64 x)) x (*.f64 x x))
(fma.f64 (neg.f64 (*.f64 (cos.f64 x) x)) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (/.f64 x x) x) x) (/.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (*.f64 (/.f64 x x) x) (*.f64 (/.f64 x x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (/.f64 x x) (*.f64 (*.f64 (/.f64 x x) x) x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) x) (cos.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 (neg.f64 x) (*.f64 (cos.f64 x) x) (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) x) (neg.f64 x) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) (neg.f64 (cos.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(fma.f64 x (neg.f64 (*.f64 (cos.f64 x) x)) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 x (+.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))))
(-.f64 (*.f64 x x) (*.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (cos.f64 x) x) x)
(*.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 x (*.f64 (cos.f64 x) x))
(sin.f64 x)
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))

eval297.0ms (2.9%)

Memory
-7.3MiB live, 275.0MiB allocated
Compiler

Compiled 27 386 to 2 335 computations (91.5% saved)

prune613.0ms (5.9%)

Memory
2.2MiB live, 280.6MiB allocated
Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New1 360111 371
Fresh71522
Picked055
Done145
Total1 368351 403
Accuracy
100.0%
Counts
1 403 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
47.5%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
3.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))
26.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
54.4%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
47.1%
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x))
30.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
55.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
55.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
18.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) x))
18.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
47.1%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
54.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
54.1%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
47.1%
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) (*.f64 (*.f64 x x) x))
74.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
9.7%
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))
54.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
75.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
54.0%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.2%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
47.0%
(*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
54.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
53.9%
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
18.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x))
54.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
47.0%
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
53.9%
(*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
48.2%
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
47.6%
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
48.6%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 908 to 508 computations (44.1% saved)

simplify174.0ms (1.7%)

Memory
-7.1MiB live, 69.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (*.f64 (cos.f64 x) x))
cost-diff320
(/.f64 x (*.f64 x x))
cost-diff640
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
cost-diff704
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
cost-diff0
(cos.f64 x)
cost-diff0
(/.f64 (cos.f64 x) (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
cost-diff1024
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 (cos.f64 x) x)
cost-diff0
(-.f64 x (*.f64 (cos.f64 x) x))
cost-diff640
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))
cost-diff0
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
Rules
1 633×lower-fma.f32
1 631×lower-fma.f64
1 359×lower-*.f32
1 354×lower-*.f64
1 162×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028184
049180
197170
2203156
3422156
41074156
53178156
65411156
08185156
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(-.f64 x (*.f64 (cos.f64 x) x))
x
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))
(/.f64 (cos.f64 x) (neg.f64 x))
(cos.f64 x)
x
(neg.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
(-.f64 x (*.f64 (cos.f64 x) x))
x
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 x (*.f64 x x))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 x (*.f64 (cos.f64 x) x))
(fma.f64 (neg.f64 x) (cos.f64 x) x)
x
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (cos.f64 x) (neg.f64 x))
(cos.f64 x)
x
(neg.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 x (*.f64 (cos.f64 x) x))
(fma.f64 (neg.f64 x) (cos.f64 x) x)
x
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 x x)
(/.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)

localize266.0ms (2.6%)

Memory
2.9MiB live, 193.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
accuracy9.390296927183607
(-.f64 x (*.f64 (cos.f64 x) x))
accuracy29.579442109900956
(/.f64 x (*.f64 x x))
accuracy33.75533370819523
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
accuracy0
(cos.f64 x)
accuracy0.12109375
(/.f64 (cos.f64 x) (neg.f64 x))
accuracy15.82288766593258
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
accuracy28.851249301198834
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy0.125
(*.f64 (cos.f64 x) x)
accuracy9.390296927183607
(-.f64 x (*.f64 (cos.f64 x) x))
accuracy23.593662976025126
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
accuracy0
(*.f64 x x)
accuracy12.959075987135733
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy15.82288766593258
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
accuracy30.480009006811205
#s(approx (cos x) #s(literal 1 binary64))
accuracy0.08203125
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))
accuracy0.3115984425072816
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
accuracy0.33203125
(*.f64 #s(literal 1/6 binary64) x)
accuracy15.647290785511009
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))
Samples
98.0ms71×2valid
41.0ms140×0valid
12.0ms33×1valid
10.0ms12×3valid
Compiler

Compiled 169 to 28 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-div: 26.0ms (31.2% of total)
ival-cos: 22.0ms (26.4% of total)
ival-mult: 16.0ms (19.2% of total)
adjust: 7.0ms (8.4% of total)
ival-sub: 5.0ms (6% of total)
const: 4.0ms (4.8% of total)
ival-add: 3.0ms (3.6% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) (patch #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/6 binary64) x) (patch (*.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (patch (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #<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 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) 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 (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 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 x) (neg.f64 x)) (patch (/.f64 (cos.f64 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
Outputs
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/24 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#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 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) (patch (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (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 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (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 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (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 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (cos x)) x) (taylor inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (cos x))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (patch (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (cos x) (neg x))
0.0ms
x
@inf
(/ (- x (* (cos x) x)) (* (* x x) x))
0.0ms
x
@-inf
(/ (- x (* (cos x) x)) (* x x))
0.0ms
x
@-inf
(/ (- x (* (cos x) x)) (* (* x x) x))
0.0ms
x
@-inf
(* (* x x) x)

simplify306.0ms (3%)

Memory
-24.7MiB live, 261.1MiB allocated
Algorithm
egg-herbie
Rules
8 009×lower-fma.f64
8 009×lower-fma.f32
1 922×lower-*.f64
1 922×lower-*.f32
1 384×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951496
12751490
26491490
317811484
435641484
564091484
081021391
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)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/3024 (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)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
(/ (pow x 2) (- 1 (cos x)))
2
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(+ 2 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (* 2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 (pow x 3))
(* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (- 1 (cos x)))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
(* x (+ 1 (* -1 (cos x))))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
(* x (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/2 (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 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
(+ 1 (* -1 (cos x)))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ -1 x)
(/ (- (* 1/2 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1) x)
(/ (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1) x)
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
(* -1 (/ (cos x) x))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (- 1 (cos x)) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(/ (+ 1 (* -1 (cos x))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (- 1 (cos x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ (+ 1 (* -1 (cos x))) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x #s(literal -1/24 binary64)) 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)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/ (- 1 (cos x)) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
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(*.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 (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 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ (+ 1 (* -1 (cos x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)

rewrite292.0ms (2.8%)

Memory
2.7MiB live, 486.7MiB allocated
Rules
2 420×lower-/.f32
2 413×lower-/.f64
2 154×lower-fma.f32
2 152×lower-fma.f64
1 978×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028149
049139
1204129
21597121
08840121
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 327
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (cos.f64 x) (neg.f64 x))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x))
(/.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
Outputs
(*.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (log.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))))
(/.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) x))
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(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(/.f64 x (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 x (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval250.0ms (2.4%)

Memory
41.1MiB live, 459.8MiB allocated
Compiler

Compiled 36 202 to 2 977 computations (91.8% saved)

prune272.0ms (2.6%)

Memory
-24.7MiB live, 465.8MiB allocated
Pruning

43 alts after pruning (29 fresh and 14 done)

PrunedKeptTotal
New1 780121 792
Fresh41721
Picked055
Done099
Total1 784431 827
Accuracy
100.0%
Counts
1 827 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
3.9%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))
26.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
54.4%
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x))
54.4%
(/.f64 (fma.f64 (*.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
47.1%
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x))
30.0%
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
55.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
55.0%
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
15.3%
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))
18.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) x))
18.9%
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
47.1%
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
54.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
26.0%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
74.4%
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
47.3%
(/.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
54.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x))
75.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
48.8%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
50.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
48.8%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
50.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))))
50.2%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
30.5%
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
54.0%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.0%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
54.2%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
54.6%
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 x (*.f64 x x)))
47.0%
(*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
54.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
53.9%
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
18.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x))
54.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
53.8%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 x (*.f64 x x)))
47.0%
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
53.9%
(*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
22.9%
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.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)) (/.f64 x (*.f64 x x)))
48.2%
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
47.6%
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
47.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
48.6%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 657 to 590 computations (64.4% saved)

regimes38.0ms (0.4%)

Memory
3.3MiB live, 79.6MiB 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 (*.f64 x #s(literal -1/24 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 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 (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.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)) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x))
(/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 (*.f64 x x) x))
(/.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (*.f64 (*.f64 x x) x))
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (cos.f64 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 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 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))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (cos.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) (neg.f64 x))) (neg.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x) x) (*.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) x)) (/.f64 x (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))
(*.f64 #s(approx (/ (sin x) (* x x)) (/.f64 (fma.f64 (*.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)) x) x #s(literal 1 binary64)) x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) x) x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) 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:

18.0ms
x
16.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.6%2x
99.4%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes17.0ms (0.2%)

Memory
-13.2MiB live, 29.5MiB 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 (*.f64 x #s(literal -1/24 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 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 (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.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)) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) 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:

9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
7.0ms
x
Results
AccuracySegmentsBranch
99.2%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.2%2x
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
21 → 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 (*.f64 x #s(literal -1/24 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 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 (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)))))
(*.f64 #s(approx (/ (- x (* (cos x) x)) (* x x)) (*.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)) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))
(/.f64 #s(approx (- (* x x) (* x (* x (cos x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -2 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
75.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.2%1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory
8.9MiB live, 9.0MiB allocated
Counts
7 → 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 (*.f64 x #s(literal -1/24 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 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 (/ (- (* x x) (* x (* x (cos x)))) (* (* (* x x) x) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
75.4%2x
56.0%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory
7.6MiB live, 7.6MiB 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 (*.f64 x #s(literal -1/24 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
75.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory
-33.5MiB live, 5.2MiB allocated
Counts
4 → 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 (*.f64 x #s(literal -1/24 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)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #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:

11.0ms
x
Results
AccuracySegmentsBranch
72.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total -1.0b remaining (-3.1%)

Threshold costs -1b (-3.1%)

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 (*.f64 x #s(literal -1/24 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)))
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
48.6%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
48.6%1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch14.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.04808677259133442
4743.467650573791
Samples
7.0ms144×0valid
Compiler

Compiled 273 to 181 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-cos: 2.0ms (46.2% of total)
ival-sub: 1.0ms (23.1% of total)
ival-div: 1.0ms (23.1% of total)
ival-mult: 1.0ms (23.1% 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
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.04808677259133442
4743.467650573791
Compiler

Compiled 273 to 181 computations (33.7% saved)

bsearch28.0ms (0.3%)

Memory
-22.7MiB live, 14.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.04808677259133442
4743.467650573791
Samples
8.0ms112×0valid
Compiler

Compiled 237 to 145 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (54.4% of total)
ival-sub: 1.0ms (18.1% of total)
ival-div: 1.0ms (18.1% of total)
ival-mult: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.04808677259133442
4743.467650573791
Samples
6.0ms96×0valid
Compiler

Compiled 192 to 127 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (65.7% of total)
ival-div: 1.0ms (21.9% of total)
ival-mult: 1.0ms (21.9% 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)

bsearch11.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
2.7538594934545086e+76
3.2447838416510785e+77
Samples
7.0ms96×0valid
Compiler

Compiled 96 to 64 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (63.3% of total)
ival-mult: 1.0ms (21.1% 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)

simplify12.0ms (0.1%)

Memory
-21.7MiB live, 13.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060216
172216
279216
383216
485216
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) 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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) 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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5291729562160333/1125899906842624 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 13/4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 95000000000000002863774732852029335427854121033570389738444746798740535246848 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
(if (<=.f64 x #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) 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 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)) 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)))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 5291729562160333/1125899906842624 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 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 13/4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x #s(literal -1/24 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 13/4 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ x (- 1 (cos x))) x) #s(approx (+ (* (* 1/6 x) x) 2) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(if (<=.f64 x #s(literal 95000000000000002863774732852029335427854121033570389738444746798740535246848 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))

soundness1.7s (16.7%)

Memory
16.8MiB live, 734.7MiB allocated
Rules
8 376×lower-fma.f64
8 376×lower-fma.f32
8 009×lower-fma.f64
8 009×lower-fma.f32
7 743×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371864
13871864
29881836
331801834
460751834
572521834
080181732
0951496
12751490
26491490
317811484
435641484
564091484
081021391
0617
01017
14017
226817
3281017
0965617
042284
1105284
2258284
3609284
41279284
52001284
62304284
73158284
84639284
96288284
107157284
117373284
127391284
137393284
147798284
08007266
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 191 to 89 computations (53.4% saved)

preprocess55.0ms (0.5%)

Memory
-15.3MiB live, 96.9MiB allocated
Compiler

Compiled 336 to 136 computations (59.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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