cos2 (problem 3.4.1)

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
4.0MiB live, 4.0MiB 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 (43.2%)

Memory
14.3MiB live, 3 200.7MiB allocated; 490ms collecting garbage
Samples
659.0ms2 238×2valid
374.0ms4 090×0valid
305.0ms720×3valid
136.0ms1 208×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 897.0ms (73.7% of total)
adjust: 132.0ms (10.8% of total)
ival-div!: 75.0ms (6.2% of total)
ival-sub!: 65.0ms (5.3% of total)
ival-mult!: 49.0ms (4% of total)
Bogosity

explain129.0ms (3.1%)

Memory
34.4MiB live, 184.8MiB allocated; 17ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
811(3.3348362147356436e+175)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
630-3(-7.70208993226973e-158)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation828
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))u/u560
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow56
(*.f64 x x)underflow56
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o40
(*.f64 x x)overflow57
Confusion
Predicted +Predicted -
+1380
-4114
Precision
0.971830985915493
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-48106
Precision?
0.92
Recall?
1.0
Freqs
test
numberfreq
0114
1142
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms152×2valid
18.0ms248×0valid
14.0ms38×3valid
7.0ms74×1valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-cos: 41.0ms (71.8% of total)
adjust: 7.0ms (12.3% of total)
ival-div!: 4.0ms (7% of total)
ival-sub!: 3.0ms (5.3% of total)
ival-mult!: 3.0ms (5.3% of total)

preprocess38.0ms (0.9%)

Memory
-11.8MiB live, 35.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01225
14625
211225
318725
440524
5195724
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Symmetry

(abs x)

Compiler

Compiled 16 to 12 computations (25% saved)

series3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB 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))

rewrite100.0ms (2.4%)

Memory
-13.4MiB live, 92.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065264
070264
1312264
02707252
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
23 → 67
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)
#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))

eval5.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 927 to 229 computations (75.3% saved)

prune9.0ms (0.2%)

Memory
-37.3MiB live, 10.2MiB allocated; 1ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New511263
Fresh000
Picked011
Done000
Total511364
Accuracy
100.0%
Counts
64 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
76.6%
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
13.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
48.7%
(/.f64 (-.f64 #s(literal 1 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)))))) (*.f64 x x))
48.7%
(/.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)))
48.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
23.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
76.9%
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
49.4%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
52.6%
#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)))
53.0%
#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)))
52.5%
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 382 to 250 computations (34.6% saved)

series14.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
28 → 86
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)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#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)))
(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 (*.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 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x)
(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)
#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))
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 (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 (+ (* (- (* (* (+ (* -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) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#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 (* 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 (/ (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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#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) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#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 (* 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 (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
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 (cos x)) (cos x) (/ (- 1 (cos x)) (* 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) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 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)))
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 (cos x)) (cos x) (/ (- 1 (cos x)) (* 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) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 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)))
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 (cos x)) (cos x) (/ (- 1 (cos x)) (* 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) x) x) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 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)))

rewrite192.0ms (4.6%)

Memory
28.6MiB live, 168.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581908
02991798
111911698
085381653
Stop Event
iter-limit
node-limit
iter-limit
Counts
114 → 679
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)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
#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)))
(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 (*.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 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x)
(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)
#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))
#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 (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 (+ (* (- (* (* (+ (* -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) x) x) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* 1/720 x)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* x (+ 1/720 (* -1/40320 (pow x 2))))))
#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 (* 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 (/ (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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#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) x) x) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1/40320 (pow x 3))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#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 (* 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 (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
Outputs
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (fabs.f64 (sin.f64 x)) x))
(*.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 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (neg.f64 (sin.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 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 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) 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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) 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 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)) (neg.f64 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 (cos.f64 x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.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 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.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 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x 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 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x) (neg.f64 x))))
(neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fabs.f64 x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x x) (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(-.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 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (fabs.f64 (sin.f64 x))) (neg.f64 (fabs.f64 (sin.f64 x))))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 x))) (fabs.f64 (fabs.f64 (sin.f64 x))))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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#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 (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (neg.f64 (-.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)))) (pow.f64 x #s(literal 3 binary64))))

eval103.0ms (2.5%)

Memory
-19.5MiB live, 116.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 19 498 to 2 685 computations (86.2% saved)

prune28.0ms (0.7%)

Memory
-3.6MiB live, 50.5MiB allocated; 7ms collecting garbage
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New77417791
Fresh527
Picked235
Done011
Total78123804
Accuracy
100.0%
Counts
804 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
13.5%
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
76.9%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
50.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
27.1%
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.f64 x x)) (*.f64 x x))
13.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
13.1%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
1.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
48.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
48.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
23.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.7%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
13.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
13.0%
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
49.4%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
48.7%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
24.1%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
99.6%
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
77.3%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
53.0%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* 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)))
52.5%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.6%
#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)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 692 to 410 computations (40.8% saved)

series18.0ms (0.4%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
29 → 95
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(sin.f64 x)
x
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(/.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)
(*.f64 (*.f64 x x) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) x)
Outputs
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin 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) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#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) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 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 (/ (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 (/ (- (* 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 (+ (* (* 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 (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)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 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 (/ (+ (* 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 (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (pow x -2) (/ (/ (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 (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 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 (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#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 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (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 (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (/ (+ (* 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) (* (* x x) (* x x)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))
5.0ms
x
@inf
((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (/ (+ (* 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) (* (* x x) (* x x)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))
3.0ms
x
@0
((* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/ (sin x) (* (- (cos x) -1) x)) (sin x) x (* (- (cos x) -1) x) (- (cos x) -1) (cos x) -1 (/ (sin x) x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (+ (* (* x x) -1/24) 1/2) (* x x) -1/24 1/2 (/ (/ (- 1 (cos x)) x) x) (/ (- 1 (cos x)) x) (- 1 (cos x)) 1 (/ (+ (* 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) (* (* x x) (* x x)) (- (pow x -2) (/ (/ (cos x) x) x)) (pow x -2) -2 (/ (/ (cos x) x) x) (/ (cos x) x))

rewrite168.0ms (4.1%)

Memory
-29.4MiB live, 206.1MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681913
03111858
111641713
086751620
Stop Event
iter-limit
node-limit
iter-limit
Counts
124 → 931
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x))
(sin.f64 x)
x
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(cos.f64 x)
#s(literal -1 binary64)
(/.f64 (sin.f64 x) x)
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x)
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(/.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)
(*.f64 (*.f64 x x) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) x)
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 1/2))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin 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) (* (- (cos x) -1) x)) #s(hole binary64 1/2))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* 1/24 (pow x 2)))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))))
#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) #s(hole binary64 (* 2 x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 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 (/ (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 (/ (- (* 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 (+ (* (* 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 (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)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (* x (+ 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 (/ (+ (* 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 (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 1/2))
#s(approx (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (- (pow x -2) (/ (/ (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 (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(hole binary64 (/ (sin x) (* x (+ 1 (cos x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (- (cos x) -1) x) #s(hole binary64 (* x (+ 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 (/ (sin x) x) #s(hole binary64 (/ (sin x) x)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#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 (cos x)) x) x) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (- 1 (cos x)) x) #s(hole binary64 (/ (- 1 (cos x)) x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (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 (- (pow x -2) (/ (/ (cos x) x) x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (/.f64 (sin.f64 x) x) x))
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x))) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (sin.f64 x))) (neg.f64 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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (fma.f64 (cos.f64 x) x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (sin.f64 x)) x)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x (neg.f64 (fma.f64 (cos.f64 x) x x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) x x)) x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (fma.f64 (cos.f64 x) x x) x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) x x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) x x)))
(/.f64 (/.f64 (sin.f64 x) x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) x x)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 (cos.f64 x) x x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 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 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x))) (-.f64 x (*.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x)))) (-.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (cos.f64 x) x) (*.f64 (cos.f64 x) x)) (*.f64 x (*.f64 (cos.f64 x) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (cos.f64 x)) (*.f64 x (cos.f64 x))) (*.f64 (*.f64 (cos.f64 x) x) x))))
(fma.f64 (cos.f64 x) x x)
(fma.f64 x (cos.f64 x) x)
(-.f64 x (*.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 x (*.f64 (neg.f64 x) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) x) x)
(+.f64 (*.f64 x (cos.f64 x)) x)
(+.f64 x (*.f64 (cos.f64 x) x))
(+.f64 x (*.f64 x (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.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 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.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 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (cos.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (cos.f64 x))) (/.f64 (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 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(neg.f64 (neg.f64 (cos.f64 x)))
(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 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
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(fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
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(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))))
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(fma.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
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(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 2 binary64)) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) x) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (fabs.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (fabs.f64 x) (*.f64 x x)) (/.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fabs.f64 x) x))
(*.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 x) x))
(*.f64 (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 x (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 x (*.f64 x x)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x x))
(*.f64 (/.f64 x x) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.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 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) x) x) #s(literal 1 binary64))
(*.f64 (/.f64 (cos.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (cos.f64 x) x) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 x)) x) x))
(neg.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 x))
(/.f64 (cos.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) x))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) #s(literal 1/2 binary64))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin 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) (* (- (cos x) -1) x)) (/ (sin 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) (* (- (cos x) -1) x)) #s(literal 1/2 binary64))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (sin x) (* (- (cos x) -1) 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 (/ (sin x) (* (- (cos x) -1) 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 (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)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (* (- (cos x) -1) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (* (- (cos x) -1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#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)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (- (cos x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#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 (/ (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 (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) #s(literal 1 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 (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 (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 (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) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) x) (*.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))
#s(approx (/ (- 1 (cos x)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 #s(literal 1/2 binary64) x)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
#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 (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 (/ (/ (- 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 (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) (* (* (neg x) x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 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))))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) (*.f64 (pow.f64 x #s(literal 4 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 (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x #s(literal -1 binary64)) x) x))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.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(literal -1 binary64)) x) x))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 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 (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 (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (sin x) (* (- (cos x) -1) x)) (/ (sin x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
#s(approx (/ (sin x) (* (- (cos x) -1) x)) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (- (cos x) -1) x) (fma.f64 (cos.f64 x) x x))
#s(approx (- (cos x) -1) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (sin x) x) (/.f64 (sin.f64 x) x))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 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 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* x x) (* (* (neg x) x) (cos x))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (cos.f64 x) x) (neg.f64 x)))
#s(approx (/ (/ (- 1 (cos x)) x) x) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (/ (/ (cos x) x) x) (/.f64 (/.f64 (cos.f64 x) x) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))

eval68.0ms (1.6%)

Memory
22.6MiB live, 111.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 15 158 to 2 163 computations (85.7% saved)

prune33.0ms (0.8%)

Memory
-3.0MiB live, 52.2MiB allocated; 15ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New72314737
Fresh10414
Picked235
Done044
Total73525760
Accuracy
100.0%
Counts
760 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
48.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
48.7%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
13.5%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
13.5%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.0%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.0%
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.6%
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
77.5%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
48.6%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
50.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
31.4%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
16.9%
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
48.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
23.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
48.7%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
13.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
24.1%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
48.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
77.3%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
54.2%
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
53.0%
#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)))
52.5%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
52.6%
#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)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 681 to 427 computations (37.3% saved)

series17.0ms (0.4%)

Memory
-19.9MiB live, 26.6MiB allocated; 3ms collecting garbage
Counts
35 → 100
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(fma.f64 (cos.f64 x) x x)
(cos.f64 x)
#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)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.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 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (cos.f64 x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 1/2))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos 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 (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #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) x) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (* (cos x) x) 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) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 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 (/ (/ (- 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 (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#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) x) (/ -1 x)) (pow x -2)) #s(hole binary64 1/2))
#s(approx (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (+ 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 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 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 (/ (+ (* 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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (* (pow x 2) (- (* -1 (cos x)) 1))))))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* -1 (* (pow x 2) (- (* -1 (cos x)) 1)))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (cos x)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (pow (sin x) 2) (sin x) x 2 (* (+ (* (cos x) x) x) x) (+ (* (cos x) x) x) (cos x) (/ (/ (- 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 (* x x) 1/24 1/2 (/ (+ (* 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) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 1 (* (* x x) (* x x)) (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) (/ (cos x) x) (/ -1 x) -1 (pow x -2) -2)
5.0ms
x
@inf
((/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (pow (sin x) 2) (sin x) x 2 (* (+ (* (cos x) x) x) x) (+ (* (cos x) x) x) (cos x) (/ (/ (- 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 (* x x) 1/24 1/2 (/ (+ (* 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) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 1 (* (* x x) (* x x)) (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) (/ (cos x) x) (/ -1 x) -1 (pow x -2) -2)
2.0ms
x
@0
((/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (pow (sin x) 2) (sin x) x 2 (* (+ (* (cos x) x) x) x) (+ (* (cos x) x) x) (cos x) (/ (/ (- 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 (* x x) 1/24 1/2 (/ (+ (* 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) (cos x) (+ (* -1/2 (* x x)) 1) -1/2 1 (* (* x x) (* x x)) (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (* (- 1 (cos x)) (* x x)) (- 1 (cos x)) (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) (/ (cos x) x) (/ -1 x) -1 (pow x -2) -2)

rewrite927.0ms (22.4%)

Memory
-124.9MiB live, 342.3MiB allocated; 1.2s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02952094
03361946
113041891
087601806
Stop Event
iter-limit
node-limit
iter-limit
Counts
135 → 924
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(fma.f64 (cos.f64 x) x x)
(cos.f64 x)
#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)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.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 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (cos.f64 x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 1/2))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos 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 (pow (sin x) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))))
#s(approx (pow (sin x) 2) #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) x) x) x) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* -1/2 (pow x 2))))))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* (pow x 2) (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (+ (* (cos x) x) 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) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 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 (/ (/ (- 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 (* x x) #s(hole binary64 (pow x 2)))
#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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#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) x) (/ -1 x)) (pow x -2)) #s(hole binary64 1/2))
#s(approx (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* (/ (cos x) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (+ 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 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (/ (pow (sin x) 2) (* (pow x 2) (+ 1 (cos x))))))
#s(approx (pow (sin x) 2) #s(hole binary64 (pow (sin x) 2)))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* (pow x 2) (+ 1 (cos x)))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* x (+ 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 (/ (+ (* 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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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) x) (/ -1 x)) (pow x -2)) #s(hole binary64 (/ (+ 1 (* -1 (cos x))) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (* (pow x 2) (- (* -1 (cos x)) 1))))))
#s(approx (* (+ (* (cos x) x) x) x) #s(hole binary64 (* -1 (* (pow x 2) (- (* -1 (cos x)) 1)))))
#s(approx (+ (* (cos x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (cos x)) 1)))))
Outputs
(*.f64 (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (-.f64 (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x))) (neg.f64 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 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 (cos.f64 x) x x)) x)
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 (cos.f64 x) x x))))
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x)))
(*.f64 (exp.f64 (log.f64 (sin.f64 x))) (exp.f64 (log.f64 (sin.f64 x))))
(*.f64 (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 x)))
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.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))
(/.f64 #s(literal 1 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
#s(literal 2 binary64)
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) x)))
(*.f64 (*.f64 x x) (-.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (cos.f64 x) x x) x)
(*.f64 x (fma.f64 (cos.f64 x) x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 (cos.f64 x) x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (cos.f64 x) (fabs.f64 x)) (fabs.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x (*.f64 (cos.f64 x) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
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(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) #s(literal 1/2 binary64))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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 (pow (sin x) 2) (*.f64 x x))
#s(approx (pow (sin x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x)))
#s(approx (pow (sin x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x)))
#s(approx (pow (sin x) 2) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2/45 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/315 binary64)) #s(literal 1/3 binary64))) (*.f64 x x)))
#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)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x))
#s(approx x x)
#s(approx (* (+ (* (cos x) x) x) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (* (+ (* (cos x) x) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (* (cos x) x) x) x) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x) x))
#s(approx (* (+ (* (cos x) x) x) x) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* (cos x) x) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (cos x) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64)) x))
#s(approx (+ (* (cos x) x) x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (+ (* (cos x) x) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #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)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x 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)) (* (* x x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* 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 (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 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 (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* 1/720 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x 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)) (* (* x x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* 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)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 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))))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.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))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (* (neg x) x) (*.f64 (neg.f64 x) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (* -1/2 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x 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)) (* (* x x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* 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)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (pow.f64 x #s(literal 4 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))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) #s(literal 1/2 binary64))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x 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)) (* (* x x) (* x x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* 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 (/ (cos x) x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x)))
#s(approx (pow (sin x) 2) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (* (+ (* (cos x) x) x) x) (*.f64 (fma.f64 (cos.f64 x) x x) x))
#s(approx (+ (* (cos x) x) x) (fma.f64 (cos.f64 x) x x))
#s(approx (cos x) (cos.f64 x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) (*.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64))) x) x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (- 1 (cos x)) (* x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (* (* (neg x) x) (cos x)) (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (* x x)) 1) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) x) x))
#s(approx (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) 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 (/ (* (- 1 (cos x)) (* x x)) (* (* x x) (* x x))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))))
#s(approx (* (+ (* (cos x) x) x) x) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (cos x) x) x) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (neg.f64 x)))

eval92.0ms (2.2%)

Memory
0.5MiB live, 132.5MiB allocated; 17ms collecting garbage
Compiler

Compiled 23 408 to 2 901 computations (87.6% saved)

prune36.0ms (0.9%)

Memory
-5.2MiB live, 53.2MiB allocated; 8ms collecting garbage
Pruning

30 alts after pruning (20 fresh and 10 done)

PrunedKeptTotal
New1 013101 023
Fresh31013
Picked145
Done167
Total1 018301 048
Accuracy
100.0%
Counts
1 048 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
48.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
48.7%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
17.2%
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))
13.5%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
13.5%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.0%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
2.0%
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
2.0%
(/.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)))
2.6%
(/.f64 (fma.f64 x x #s(approx (* (* (neg x) x) (cos x)) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 x x) (*.f64 x x)))
77.5%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
48.6%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
50.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
31.4%
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
48.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
23.9%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
49.3%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 (cos.f64 x) x x) x))
13.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x))
13.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
13.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
12.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
1.6%
(/.f64 (*.f64 (neg.f64 x) (fma.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
24.1%
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
48.6%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
77.3%
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
54.2%
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
52.6%
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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)))
53.0%
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
52.5%
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
53.4%
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
Compiler

Compiled 1 442 to 522 computations (63.8% saved)

regimes25.0ms (0.6%)

Memory
33.3MiB live, 33.3MiB allocated; 0ms collecting garbage
Counts
54 → 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* 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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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 (*.f64 (neg.f64 x) (fma.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 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 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) 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 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 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)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.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 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.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 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.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 #s(literal 1 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)))))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) x)) (/.f64 (sin.f64 x) x))
Calls

2 calls:

12.0ms
x
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.6%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes27.0ms (0.7%)

Memory
-14.2MiB live, 31.1MiB allocated; 4ms collecting garbage
Counts
50 → 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* 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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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 (*.f64 (neg.f64 x) (fma.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 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 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) 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 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 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)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 (cos.f64 x) x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) (*.f64 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)))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) (*.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 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 (cos.f64 x) x) x))
(fma.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (cos.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 x (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) x x) x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.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 2 binary64))) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x)
Calls

2 calls:

15.0ms
x
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.4%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
99.7%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.3%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
21 → 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* 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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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 (*.f64 (neg.f64 x) (fma.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 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 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) 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 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
79.0%3(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
98.9%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes13.0ms (0.3%)

Memory
-31.4MiB live, 14.5MiB allocated; 4ms collecting garbage
Counts
19 → 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) 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 (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* 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 (/ (/ (- 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)))
(/.f64 (/.f64 #s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x) x)
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) 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 (*.f64 (neg.f64 x) (fma.f64 x #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (neg.f64 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 #s(literal 1/2 binary64) x) x #s(literal -1 binary64)) 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 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 #s(approx (/ (sin x) (* (- (cos x) -1) x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x))
Outputs
#s(approx (/ (pow (sin x) 2) (* (+ (* (cos x) x) x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) 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:

7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
5.0ms
x
Results
AccuracySegmentsBranch
54.2%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
75.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (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))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
74.7%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
53.4%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
53.4%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch11.0ms (0.3%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.04272955327114707
12.24168180378322
Samples
5.0ms128×0valid
Compiler

Compiled 315 to 218 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 1.0ms (35.9% of total)
ival-mult!: 1.0ms (35.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.04272955327114707
12.24168180378322
Compiler

Compiled 315 to 218 computations (30.8% saved)

bsearch16.0ms (0.4%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.5342892540252595e+30
1.3302937691835457e+39
Samples
10.0ms144×0valid
Compiler

Compiled 326 to 244 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 5.0ms (72.1% of total)
ival-mult!: 1.0ms (14.4% of total)
ival-div!: 1.0ms (14.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
-37.2MiB live, 10.4MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.04272955327114707
12.24168180378322
Samples
8.0ms112×0valid
Compiler

Compiled 211 to 170 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 4.0ms (80.6% of total)
ival-mult!: 1.0ms (20.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

derivations206.0ms (5%)

Memory
12.4MiB live, 63.1MiB allocated; 41ms collecting garbage
Stop Event
fuel
Compiler

Compiled 176 to 55 computations (68.8% saved)

preprocess46.0ms (1.1%)

Memory
11.6MiB live, 58.8MiB allocated; 10ms collecting garbage
Remove

(abs x)

Compiler

Compiled 720 to 342 computations (52.5% saved)

end0.0ms (0%)

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

Profiling

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