ENA, Section 1.4, Mentioned, A

Time bar (total: 11.4s)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
0%0%49.6%50.4%0%0%0%1
0%0%49.6%50.4%0%0%0%2
50%24.8%24.8%50.4%0%0%0%3
75%37.2%12.4%50.4%0%0%0%4
87.5%43.4%6.2%50.4%0%0%0%5
93.8%46.5%3.1%50.4%0%0%0%6
96.9%48.1%1.6%50.4%0%0%0%7
98.4%48.8%0.8%50.4%0%0%0%8
99.2%49.2%0.4%50.4%0%0%0%9
99.6%49.4%0.2%50.4%0%0%0%10
99.8%49.5%0.1%50.4%0%0%0%11
99.9%49.6%0%50.4%0%0%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.0s (17.2%)

Memory
14.8MiB live, 2 093.2MiB allocated; 235ms collecting garbage
Samples
1.4s5 815×2valid
277.0ms2 427×1valid
1.0ms14×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-cos: 946.0ms (67.2% of total)
adjust: 293.0ms (20.8% of total)
ival-sub: 158.0ms (11.2% of total)
exact: 7.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
Bogosity

explain145.0ms (1.3%)

Memory
-10.3MiB live, 224.2MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1311(-1.1642940445729076e-161)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation1320
Confusion
Predicted +Predicted -
+1310
-1124
Precision
0.9924242424242424
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13100
-10124
Precision?
0.9924242424242424
Recall?
1.0
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
93.0ms372×2valid
14.0ms140×1valid
Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-cos: 66.0ms (74.6% of total)
adjust: 15.0ms (17% of total)
ival-sub: 7.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess170.0ms (1.5%)

Memory
17.1MiB live, 159.1MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11913
22913
33913
48312
536712
6297712
044
064
1154
2244
3394
4804
53504
628704
081624
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Symmetry

(abs x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 4 to 4 computations (0% saved)

series2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
4 → 11
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Outputs
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Calls

3 calls:

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

rewrite84.0ms (0.7%)

Memory
15.2MiB live, 60.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054153
056153
1286153
02430145
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
15 → 30
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))
Outputs
(/.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
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #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 (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval3.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 341 to 109 computations (68% saved)

prune7.0ms (0.1%)

Memory
-41.0MiB live, 6.3MiB allocated; 1ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New28230
Fresh000
Picked101
Done000
Total29231
Accuracy
100.0%
Counts
31 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#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)))
100.0%
#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))
Compiler

Compiled 47 to 30 computations (36.2% saved)

series9.0ms (0.1%)

Memory
9.7MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
19 → 67
Calls
Call 1
Inputs
#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))
(*.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)
(*.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)
(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)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#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)))
(*.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))
(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)
Outputs
#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 (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (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 #s(hole binary64 x))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 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) (* x 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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 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) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 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) (* 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 (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))))
#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
3.0ms
x
@inf
((- 1 (cos x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) 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) x 1/24 1/2 (- 1 (cos x)) (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* 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)
2.0ms
x
@-inf
((- 1 (cos x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) 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) x 1/24 1/2 (- 1 (cos x)) (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* 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)
2.0ms
x
@0
((- 1 (cos x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) 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) x 1/24 1/2 (- 1 (cos x)) (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* 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)

rewrite231.0ms (2%)

Memory
-48.0MiB live, 132.8MiB allocated; 81ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881777
02171712
17371712
049011627
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
86 → 410
Calls
Call 1
Inputs
#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))
(*.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)
(*.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)
(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)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#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)))
(*.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))
(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(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 (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/720 (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 #s(hole binary64 x))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 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) (* x 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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* 1/720 (pow x 6))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* 1/720 (pow x 5))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 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) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 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) (* 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 (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))))
#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
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
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#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) 1/24) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 #s(literal -1/40320 binary64) (*.f64 x x)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) x) x))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal -1/720 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal -1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 3 binary64))))

eval59.0ms (0.5%)

Memory
32.2MiB live, 78.1MiB allocated; 4ms collecting garbage
Compiler

Compiled 15 672 to 2 304 computations (85.3% saved)

prune6.1s (53.1%)

Memory
-14.5MiB live, 6 014.3MiB allocated; 1.2s collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New5041505
Fresh000
Picked202
Done000
Total5061507
Accuracy
100.0%
Counts
507 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
Compiler

Compiled 27 to 19 computations (29.6% saved)

series8.0ms (0.1%)

Memory
-40.9MiB live, 5.2MiB allocated; 2ms collecting garbage
Counts
16 → 39
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.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 #s(literal 1/2 binary64) (neg.f64 x))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.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 (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)
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
Outputs
#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 (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #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 (* 1/2 (neg x)) #s(hole binary64 (* -1/2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 4) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* (+ (* -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) #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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 8) (- (* 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) #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) #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 (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- 1 (cos x)) (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (* 1/2 (neg x)) 1/2 (neg x) x (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (pow x 4) 4 (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) 1/720 -1/24)
2.0ms
x
@inf
((- 1 (cos x)) (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (* 1/2 (neg x)) 1/2 (neg x) x (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (pow x 4) 4 (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) 1/720 -1/24)
1.0ms
x
@0
((- 1 (cos x)) (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (* 1/2 (neg x)) 1/2 (neg x) x (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (pow x 4) 4 (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (* (+ (* -1/40320 (* x x)) 1/720) x) (+ (* -1/40320 (* x x)) 1/720) -1/40320 (* x x) 1/720 -1/24)

rewrite160.0ms (1.4%)

Memory
11.0MiB live, 100.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128967
0146927
1516925
03871907
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
55 → 291
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.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 #s(literal 1/2 binary64) (neg.f64 x))
#s(literal 1/2 binary64)
(neg.f64 x)
x
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.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 (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)
(*.f64 x x)
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#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 (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #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 (* 1/2 (neg x)) #s(hole binary64 (* -1/2 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 4) (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 4) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (* (+ (* -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) #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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) #s(hole binary64 (* (pow x 8) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* -1/40320 (pow x 8))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 8) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) #s(hole binary64 (* (pow x 8) (- (* 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) #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) #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 (* (+ (* -1/40320 (* x x)) 1/720) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
Outputs
#s(approx (- 1 (cos x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) (*.f64 x x)) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x)) x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64))) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) x (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) (*.f64 x (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
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(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(fma.f64 x (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 x (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64))))
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#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 (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.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 (* 1/2 (neg x)) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (*.f64 (pow.f64 x #s(literal 4 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)))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) #s(literal -1/24 binary64))
#s(approx (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (fma.f64 (*.f64 #s(literal 1/720 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)) #s(literal 1/24 binary64))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 #s(literal 1/720 binary64) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) x))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(literal 1/720 binary64))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* 1/2 (neg x)) (neg x)) (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24))) (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (pow x 4) (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24)) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64)))
#s(approx (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* -1/40320 (* x x)) 1/720) x) x) -1/24) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/40320 binary64)))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/40320 binary64)) x) x))
#s(approx (* (+ (* -1/40320 (* x x)) 1/720) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 3 binary64))))

eval42.0ms (0.4%)

Memory
12.1MiB live, 62.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 10 185 to 1 395 computations (86.3% saved)

prune2.4s (20.8%)

Memory
37.6MiB live, 3 072.2MiB allocated; 367ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New3090309
Fresh000
Picked011
Done000
Total3091310
Accuracy
100.0%
Counts
310 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
Compiler

Compiled 105 to 53 computations (49.5% saved)

regimes5.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#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 (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.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 #s(literal 1 binary64) (cos.f64 x))
Outputs
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
Calls

3 calls:

2.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
100.0%1(cos.f64 x)
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-50%)

Threshold costs -0b (-50%)

Counts
2 → 1
Calls
Call 1
Inputs
#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)))
Outputs
#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))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
100.0%1(cos.f64 x)
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

simplify41.0ms (0.4%)

Memory
-29.3MiB live, 18.3MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02648
14248
26048
38448
413348
557748
6783348
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
#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))
Outputs
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) x) x #s(literal -1/24 binary64)))))
#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))

derivations38.0ms (0.3%)

Memory
2.0MiB live, 46.7MiB allocated; 4ms collecting garbage
Stop Event
done
Compiler

Compiled 48 to 26 computations (45.8% saved)

preprocess17.0ms (0.1%)

Memory
36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 158 to 98 computations (38% saved)

end0.0ms (0%)

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

Profiling

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