cos2 (problem 3.4.1)

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
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)

sample1.8s (48.5%)

Memory
67.9MiB live, 1 513.7MiB allocated; 295ms collecting garbage
Samples
739.0ms2 209×2valid
323.0ms4 183×0valid
299.0ms706×3valid
124.0ms1 158×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 808.0ms (64.6% of total)
adjust: 177.0ms (14.1% of total)
ival-sub: 111.0ms (8.9% of total)
ival-div: 88.0ms (7% of total)
ival-mult: 58.0ms (4.6% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain180.0ms (4.9%)

Memory
-2.9MiB live, 193.9MiB allocated; 34ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
770-4(3.8911069801694683e-159)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
731(2.940480877213877e-162)2(-1418171.2999906652)(-.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))cancellation727
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u700
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow70
(*.f64 x x)underflow70
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o30
(*.f64 x x)overflow51
Confusion
Predicted +Predicted -
+1450
-0111
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14500
-07104
Precision?
0.9539473684210527
Recall?
1.0
Freqs
test
numberfreq
0111
1145
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms152×2valid
21.0ms236×0valid
19.0ms52×3valid
8.0ms72×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-cos: 47.0ms (65.5% of total)
adjust: 10.0ms (13.9% of total)
ival-div: 6.0ms (8.4% of total)
ival-sub: 5.0ms (7% of total)
ival-mult: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess229.0ms (6.2%)

Memory
-9.7MiB live, 224.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
14625
211225
318725
440524
5195724
068
0108
1278
2658
31298
42988
515698
083708
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 8 to 6 computations (25% saved)

series3.0ms (0.1%)

Memory
4.5MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
6 → 17
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
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

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

rewrite114.0ms (3.1%)

Memory
-14.6MiB live, 85.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061264
1302264
02697252
Stop Event
iter limit
iter limit
node limit
Counts
23 → 67
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (* x x))
(- 1 (cos x))
1
(cos x)
x
(* x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.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 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (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)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (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 2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 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)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.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)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval6.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 991 to 230 computations (76.8% saved)

prune12.0ms (0.3%)

Memory
-18.2MiB live, 25.3MiB allocated; 6ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New581371
Fresh000
Picked011
Done000
Total581472
Accuracy
100.0%
Counts
72 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
71.4%
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
46.4%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
14.2%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
46.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
46.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
44.5%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
21.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
72.0%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
46.8%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
54.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
55.3%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
56.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 402 to 262 computations (34.8% saved)

series13.0ms (0.4%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Counts
24 → 75
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(sin.f64 x)
x
(*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (cos.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* 1/720 (* x x)) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))
4.0ms
x
@inf
((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))
3.0ms
x
@0
((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/ (* (sin x) (sin x)) (+ (cos x) 1)))

rewrite164.0ms (4.5%)

Memory
-5.1MiB live, 225.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071546
19881386
083711298
Stop Event
iter limit
node limit
Counts
99 → 762
Calls
Call 1
Inputs
(/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x)))
(* (sin x) (sin x))
(sin x)
x
(* (+ (cos x) 1) (* x x))
(+ (cos x) 1)
(cos x)
1
(* x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
1/2
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2)))
(+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2)
(- (* 1/720 (* x x)) 1/24)
(* 1/720 (* x x))
1/720
1/24
(/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x)))
(- (* 1 (* x x)) (* (* x x) (cos x)))
(* 1 (* x x))
(* (* x x) (cos x))
(* (* x x) (* x x))
(/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x))
(/ (* (sin x) (sin x)) (+ (cos x) 1))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow x 2)))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (+ (cos x) 1) #s(hole binary64 2))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 -1/24))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* 1/720 (* x x)) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* 1 (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (* (sin x) (sin x)) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (cos x) 1) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (cos x) 1) #s(hole binary64 (+ 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (* x x) (cos x)) #s(hole binary64 (* (pow x 2) (cos x))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) #s(hole binary64 (/ (pow (sin x) 2) (+ 1 (cos x)))))
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
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#s(approx (* (sin x) (sin x)) (*.f64 x x))
#s(approx (* (sin x) (sin x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)))
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#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
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#s(approx x x)
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#s(approx (* (+ (cos x) 1) (* x x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x) x))
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#s(approx (+ (cos x) 1) #s(literal 2 binary64))
#s(approx (+ (cos x) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
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#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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#s(approx (* 1 (* x x)) (*.f64 x x))
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#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (sin x) (sin x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
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#s(approx (+ (cos x) 1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (- (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (- (* 1 (* x x)) (* (* x x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* x x) (cos x)) (*.f64 (*.f64 (cos.f64 x) x) x))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (* (sin x) (sin x)) (+ (cos x) 1)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))

eval90.0ms (2.5%)

Memory
5.1MiB live, 198.6MiB allocated; 33ms collecting garbage
Compiler

Compiled 19 400 to 2 354 computations (87.9% saved)

prune51.0ms (1.4%)

Memory
-30.9MiB live, 67.0MiB allocated; 11ms collecting garbage
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New88912901
Fresh538
Picked415
Done011
Total89817915
Accuracy
100.0%
Counts
915 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.4%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
47.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
14.2%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
46.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
21.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
46.5%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
14.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
14.2%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
71.6%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
14.2%
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
46.8%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
71.8%
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
54.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
55.3%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
56.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 490 to 310 computations (36.7% saved)

series18.0ms (0.5%)

Memory
27.4MiB live, 27.4MiB allocated; 0ms collecting garbage
Counts
30 → 92
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* 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)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
(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))
(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))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(literal 1/720 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.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)
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 1/2))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* x (- 1 (cos x)))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (pow x 4) 4)
5.0ms
x
@inf
((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (pow x 4) 4)
3.0ms
x
@0
((* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/ (sin x) x) (sin x) x (/ (tan (/ x 2)) x) (tan (/ x 2)) (/ x 2) 2 (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320 1/720 (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* (* x x) (* x x)) (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (* (* (- 1 (cos x)) x) x) (* (- 1 (cos x)) x) (pow x 4) 4)

rewrite197.0ms (5.4%)

Memory
22.1MiB live, 202.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471932
110951836
083611715
Stop Event
iter limit
node limit
Counts
122 → 473
Calls
Call 1
Inputs
(* (/ (sin x) x) (/ (tan (/ x 2)) x))
(/ (sin x) x)
(sin x)
x
(/ (tan (/ x 2)) x)
(tan (/ x 2))
(/ x 2)
2
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ (* (* x x) -1/24) 1/2)))
(+ (* (* x x) -1/24) 1/2)
(* x x)
-1/24
1/2
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2)))
(+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2)
(+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24)
(+ (* -1/40320 (* x x)) 1/720)
-1/40320
1/720
(/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x)))
(* (- 1 (cos x)) (* x x))
(- 1 (cos x))
1
(cos x)
(* (* x x) (* x x))
(/ (* (* (- 1 (cos x)) x) x) (pow x 4))
(* (* (- 1 (cos x)) x) x)
(* (- 1 (cos x)) x)
(pow x 4)
4
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 1/2))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* -1/24 (pow x 2))))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (- 1 (cos x)) (* x x)) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* (* (- 1 (cos x)) x) x) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (* (- 1 (cos x)) x) #s(hole binary64 (* x (- 1 (cos x)))))
Outputs
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (/.f64 (sin.f64 x) x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x) (sin.f64 x)) x)
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(neg.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
x
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x)
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) x))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))) (cos.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64))))
(/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(tan.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
#s(literal 2 binary64)
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/48 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
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(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 x x))
(*.f64 (/.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x (/.f64 x (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (*.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 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
(/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) x) #s(literal 1 binary64))
#s(approx (/ (sin x) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sin x) x) (fma.f64 (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sin x) x)
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x))
#s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/6 binary64)) x))
#s(approx x x)
#s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (tan (/ x 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (tan (/ x 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* x x) -1/24) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 #s(literal -1/40320 binary64) x) x #s(literal 1/720 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#s(approx (- 1 (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (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)))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) #s(literal 1/2 binary64))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- 1 (cos x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (sin x) (sin.f64 x))
#s(approx (/ (tan (/ x 2)) x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) x)))
#s(approx (tan (/ x 2)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* (* x x) -1/24) 1/2) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/24 binary64)) x) x))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) x) x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (* (- 1 (cos x)) x) x) (pow x 4)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
#s(approx (* (- 1 (cos x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))

eval85.0ms (2.3%)

Memory
-9.0MiB live, 137.7MiB allocated; 21ms collecting garbage
Compiler

Compiled 16 684 to 2 014 computations (87.9% saved)

prune46.0ms (1.2%)

Memory
-36.0MiB live, 56.9MiB allocated; 7ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New6615666
Fresh3710
Picked235
Done022
Total66617683
Accuracy
100.0%
Counts
683 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.4%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
47.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
14.2%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
46.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
21.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
46.5%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
14.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
71.6%
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
14.2%
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
46.4%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
56.5%
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
55.3%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
71.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
56.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 478 to 304 computations (36.4% saved)

series14.0ms (0.4%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Counts
27 → 85
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (sin.f64 x) x)
(sin.f64 x)
x
(/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x)
(tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#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 (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
#s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x (-.f64 x (*.f64 (cos.f64 x) x)))
(-.f64 x (*.f64 (cos.f64 x) x))
(*.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Calls

3 calls:

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

rewrite196.0ms (5.3%)

Memory
12.8MiB live, 263.0MiB allocated; 113ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291635
19991532
084331467
Stop Event
iter limit
node limit
Counts
112 → 761
Calls
Call 1
Inputs
(* (/ (sin x) x) (/ (tan #s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))) x))
(/ (sin x) x)
(sin x)
x
(/ (tan #s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))) x)
(tan #s(approx (/ x 2) #s(hole binary64 (* 1/2 x))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
(* 1/2 x)
1/2
(/ (- 1 #s(approx (cos x) #s(hole binary64 1))) (* x x))
(- 1 #s(approx (cos x) #s(hole binary64 1)))
1
#s(approx (cos x) #s(hole binary64 1))
(* x x)
(* (/ (sin x) x) #s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
(/ (* x (- x (* (cos x) x))) (* (* x x) (* x x)))
(* x (- x (* (cos x) x)))
(- x (* (cos x) x))
(* (cos x) x)
(cos x)
(* (* x x) (* x x))
(/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x)))
(+ (* x x) (* (* (neg x) x) (cos x)))
(* (* (neg x) x) (cos x))
(* (neg x) x)
(neg x)
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (/ (sin x) x) #s(hole binary64 1))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))
#s(approx (/ (sin x) x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 1/2))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* 1/2 x)))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* 1/24 (pow x 2))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* 1/2 (pow x 3))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* (pow x 3) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (cos x) x) #s(hole binary64 x))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 1/2))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* 1/2 (pow x 4))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 4) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (pow x 2)) 1))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 1))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 1))))
#s(approx (* (neg x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) #s(hole binary64 (/ (* (sin x) (sin (* 1/2 x))) (* (pow x 2) (cos (* 1/2 x))))))
#s(approx (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (/ (tan (/ x 2)) x) #s(hole binary64 (/ (sin (* 1/2 x)) (* x (cos (* 1/2 x))))))
#s(approx (tan (/ x 2)) #s(hole binary64 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 2) (- 1 (cos x)))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (- 1 (cos x)))))
#s(approx (* (cos x) x) #s(hole binary64 (* x (cos x))))
#s(approx (/ (+ (* x x) (* (* (neg x) x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (* (* (neg x) x) (cos x)) #s(hole binary64 (* -1 (* (pow x 2) (cos x)))))
#s(approx (/ (* x (- x (* (cos x) x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (* x (- x (* (cos x) x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (cos x))))))
#s(approx (- x (* (cos x) x)) #s(hole binary64 (* x (+ 1 (* -1 (cos x))))))
Outputs
(*.f64 (/.f64 (sin.f64 x) (fabs.f64 x)) (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (fabs.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sin.f64 x)
x
(/.f64 (/.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))))) x)
(/.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 x))
(/.f64 (sin.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (cos.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x))
(/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) x)
(neg.f64 (/.f64 (neg.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) x))
(neg.f64 (/.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (tan.f64 (PI.f64)))))
(/.f64 (sin.f64 (+.f64 (PI.f64) #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (+.f64 (PI.f64) #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (+.f64 (+.f64 (PI.f64) #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 x #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) x) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(approx (cos x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (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)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)))
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#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
#s(approx (* (/ (sin x) x) (/ (tan (/ x 2)) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) (*.f64 (-.f64 x (*.f64 (cos.f64 x) x)) x))
#s(approx (- x (* (cos x) x)) (-.f64 x (*.f64 (cos.f64 x) x)))

eval69.0ms (1.9%)

Memory
-25.4MiB live, 169.6MiB allocated; 21ms collecting garbage
Compiler

Compiled 14 412 to 1 776 computations (87.7% saved)

prune39.0ms (1.1%)

Memory
10.1MiB live, 103.5MiB allocated; 13ms collecting garbage
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New7538761
Fresh167
Picked145
Done055
Total75523778
Accuracy
100.0%
Counts
778 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
14.6%
(/.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
14.4%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
1.9%
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.3%
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
47.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
14.2%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
46.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
21.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
46.5%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
46.4%
(/.f64 (*.f64 (/.f64 x (*.f64 x x)) (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 x x))
14.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
71.6%
(/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
14.2%
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
14.2%
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
46.4%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
99.8%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
56.4%
(*.f64 (sin.f64 x) (/.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) x))
54.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
55.3%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
54.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
71.8%
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
56.0%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 061 to 415 computations (60.9% saved)

regimes38.0ms (1%)

Memory
11.9MiB live, 55.0MiB allocated; 10ms collecting garbage
Counts
39 → 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 x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* 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))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 x (*.f64 x x)) (-.f64 x (*.f64 (cos.f64 x) 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) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.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 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
Calls

2 calls:

28.0ms
x
8.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.8%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes43.0ms (1.2%)

Memory
-25.8MiB live, 18.7MiB allocated; 10ms collecting garbage
Counts
29 → 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 x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* 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))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 x (*.f64 (cos.f64 x) x))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 x)) x) x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 x (*.f64 x x)) (-.f64 x (*.f64 (cos.f64 x) 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) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (tan.f64 #s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

36.0ms
x
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
98.9%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.6%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
14 → 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 x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* 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))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Outputs
#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) (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
13 → 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 x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* 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))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (/ (* (sin x) (sin x)) (+ (cos x) 1)) (* x x)) (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)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (sin.f64 x) x) #s(approx (/ (tan (/ x 2)) x) #s(literal 1/2 binary64)))
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

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
56.5%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.4%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-3%)

Threshold costs -0.8b (-3%)

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

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
56.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
56.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch15.0ms (0.4%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
3.373204326259316e-6
0.5860962067650423
Samples
6.0ms128×0valid
2.0ms16×1valid
Compiler

Compiled 218 to 181 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 2.0ms (41% of total)
ival-div: 1.0ms (20.5% of total)
ival-mult: 1.0ms (20.5% of total)
ival-sub: 1.0ms (20.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.373204326259316e-6
0.5860962067650423
Compiler

Compiled 218 to 181 computations (17% saved)

bsearch34.0ms (0.9%)

Memory
-26.5MiB live, 22.4MiB allocated; 24ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
1.906970426537648e+74
7.327632158025836e+76
Samples
28.0ms128×0valid
Compiler

Compiled 171 to 146 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 4.0ms (61.6% of total)
ival-sub: 1.0ms (15.4% of total)
ival-div: 1.0ms (15.4% of total)
ival-mult: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify33.0ms (0.9%)

Memory
-15.7MiB live, 31.7MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036103
157103
2102103
3186103
4452103
52879103
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 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) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 44000000000000000785095482412648441489292572321683093345063926927318029697024 binary64)) #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x))) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 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) (cos.f64 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 44000000000000000785095482412648441489292572321683093345063926927318029697024 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))

derivations136.0ms (3.7%)

Memory
20.1MiB live, 156.3MiB allocated; 59ms collecting garbage
Stop Event
fuel
Compiler

Compiled 103 to 37 computations (64.1% saved)

preprocess49.0ms (1.3%)

Memory
-5.0MiB live, 91.2MiB allocated; 10ms collecting garbage
Remove

(abs x)

Compiler

Compiled 252 to 108 computations (57.1% saved)

end0.0ms (0%)

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

Profiling

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