tanhf (example 3.4)

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze367.0ms (6%)

Memory
5.6MiB live, 175.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.8s (29.9%)

Memory
57.4MiB live, 1 703.1MiB allocated
Samples
702.0ms2 242×2valid
492.0ms4 231×0valid
186.0ms544×3valid
124.0ms1 237×1valid
2.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-cos: 774.0ms (62.2% of total)
ival-sin: 169.0ms (13.6% of total)
adjust: 102.0ms (8.2% of total)
ival-div: 101.0ms (8.1% of total)
ival-sub: 83.0ms (6.7% of total)
ival-true: 6.0ms (0.5% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain271.0ms (4.5%)

Memory
-14.6MiB live, 181.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
862(6.774030975287519e+235)1(-6.919962726854554e+147)(-.f64 #s(literal 1 binary64) (cos.f64 x))
550-7(-2.766321673648764e-159)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation875
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))u/n480
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow48
Confusion
Predicted +Predicted -
+1341
-1120
Precision
0.9925925925925926
Recall
0.9925925925925926
Confusion?
Predicted +Predicted MaybePredicted -
+13410
-14116
Precision?
0.9642857142857143
Recall?
1.0
Freqs
test
numberfreq
0121
1135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
83.0ms132×2valid
73.0ms264×0valid
11.0ms28×3valid
10.0ms88×1valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-sin: 58.0ms (50.6% of total)
ival-cos: 38.0ms (33.1% of total)
ival-div: 6.0ms (5.2% of total)
adjust: 6.0ms (5.2% of total)
ival-sub: 5.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess42.0ms (0.7%)

Memory
30.8MiB live, 30.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
13011
2738
31818
44488
56838
67088
067
0104
1204
2264
3374
4584
5814
61144
71884
83174
95344
105904
115934
126014
136074
146114
156184
166254
176264
06264
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify27.0ms (0.4%)

Memory
-25.8MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff3
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01014
12014
22614
33714
45814
58114
611414
718814
831714
953414
1059014
1159314
1260114
1360714
1461114
1561814
1662514
1762614
062614
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)

localize77.0ms (1.3%)

Memory
17.9MiB live, 54.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.0
(cos.f64 x)
accuracy12.14076575800935
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy17.56517783209598
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
46.0ms66×2valid
14.0ms132×0valid
6.0ms14×3valid
5.0ms44×1valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-sin: 33.0ms (53.7% of total)
ival-cos: 19.0ms (30.9% of total)
ival-div: 3.0ms (4.9% of total)
adjust: 3.0ms (4.9% of total)
ival-sub: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
4 → 20
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(sin.f64 x)
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)
Calls

3 calls:

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

simplify262.0ms (4.3%)

Memory
1.1MiB live, 151.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079202
1224202
2555196
31661196
43002196
54256196
64608196
75339196
86812196
08041172
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(sin x)
(sin.f64 x)

rewrite246.0ms (4%)

Memory
-19.2MiB live, 226.3MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0615
01012
13912
224712
3238711
0910611
Stop Event
iter limit
node limit
iter limit
Counts
4 → 645
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(sin.f64 x)
Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (sin.f64 x) (cos.f64 x)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))))))
(neg.f64 (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(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 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))

eval360.0ms (5.9%)

Memory
34.4MiB live, 154.1MiB allocated
Compiler

Compiled 14 961 to 1 738 computations (88.4% saved)

prune15.0ms (0.2%)

Memory
5.3MiB live, 41.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6586664
Fresh000
Picked101
Done000
Total6596665
Accuracy
100.0%
Counts
665 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
50.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 162 to 118 computations (27.2% saved)

simplify59.0ms (1%)

Memory
-8.6MiB live, 30.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
(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))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff0
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
cost-diff0
(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))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026204
044192
182192
2142192
3294192
4649192
5969192
61023192
71101192
81230192
91448192
101504192
111507192
121515192
131521192
141525192
151532192
161707192
171942192
181948192
01948192
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/240 binary64)
(*.f64 x x)
x
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
#s(literal 17/40320 binary64)
(*.f64 x x)
x
#s(literal 1/240 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

localize172.0ms (2.8%)

Memory
-15.3MiB live, 183.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.03125
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy0.04296875
(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))
accuracy0.32316253700322506
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
accuracy31.804898798316206
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy0.015625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy0.0390625
(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))
accuracy0.05859375
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy31.79061572967801
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
accuracy0.0
(*.f64 x x)
accuracy0.0546875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
accuracy0.08203125
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
accuracy31.769320129107484
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy31.68895630633285
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
Samples
44.0ms132×0valid
42.0ms66×2valid
42.0ms44×1valid
16.0ms14×3valid
Compiler

Compiled 176 to 30 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 44.0ms (37.4% of total)
ival-cos: 21.0ms (17.8% of total)
adjust: 15.0ms (12.7% of total)
const: 11.0ms (9.3% of total)
ival-add: 9.0ms (7.6% of total)
ival-tan: 6.0ms (5.1% of total)
ival-sin: 5.0ms (4.2% of total)
ival-div: 3.0ms (2.5% of total)
ival-sub: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
16 → 44
Calls
Call 1
Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240))
3.0ms
x
@inf
((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240))
2.0ms
x
@0
((tan (* 1/2 x)) (* 1/2 x) (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x)) (* (+ (* (* x x) 1/24) 1/2) x) (+ (* (* x x) 1/24) 1/2) (* x x) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/240 (* x x)) 1/24) (* x x)) 1/2) (+ (* 1/240 (* x x)) 1/24) (/ (- 1 (cos x)) (sin x)) (* (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (* x x)) 1/2) (+ (* (+ (* 17/40320 (* x x)) 1/240) (* x x)) 1/24) (+ (* 17/40320 (* x x)) 1/240))

simplify137.0ms (2.3%)

Memory
-8.4MiB live, 105.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097445
1319445
2843441
32234439
44873439
08278406
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(pow x 2)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
1/24
(+ 1/24 (* 1/240 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
1/240
(+ 1/240 (* 17/40320 (pow x 2)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/240 (pow x 5))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 4))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(* 1/240 (pow x 2))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(* 17/40320 (pow x 7))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 6))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(* 17/40320 (pow x 4))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(* 17/40320 (pow x 2))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))
(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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/240 (pow x 2)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))
(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))
(+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))
(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))
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* 17/40320 (pow x 2)))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/240 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64))
(* (pow x 5) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 5) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/240 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/240 binary64))
(* (pow x 4) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) x) x)
(* (pow x 4) (+ 1/240 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))
(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))
(* 1/240 (pow x 2))
(*.f64 #s(literal 1/240 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/240 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(* 17/40320 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/40320 binary64))
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/40320 binary64)) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/40320 binary64)) (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/40320 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/40320 binary64))
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(*.f64 (*.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)) x) x)
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))
(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))
(* 17/40320 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/40320 binary64))
(* (pow x 4) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) x) x)
(* (pow x 4) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))
(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))
(* 17/40320 (pow x 2))
(*.f64 #s(literal 17/40320 binary64) (*.f64 x x))
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/240)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x) #s(literal -1/240 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) x) x) #s(literal -17/40320 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite244.0ms (4%)

Memory
22.2MiB live, 181.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026179
044167
1177167
21220167
08528167
Stop Event
iter limit
node limit
iter limit
Counts
16 → 503
Calls
Call 1
Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(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))
(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))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
Outputs
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x))))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (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))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (sin.f64 x) (neg.f64 (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 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (tan.f64 x)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (+.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 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (sin.f64 x) (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 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
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(*.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))))
(*.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(*.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (pow.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))) (*.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (fma.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/3317760000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 24137569/4296582355504620109824000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 4 binary64)) (+.f64 #s(literal 1/3317760000 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/93640458240000 binary64)))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 24137569/4296582355504620109824000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/191102976000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 118587876497/281633758444745849464726940024832000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/2641807540224000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 24137569/4296582355504620109824000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/906139986296832000000 binary64)))) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) #s(literal 1/57600 binary64))) (*.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))
(/.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64))) (neg.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))) (neg.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)))))
(/.f64 (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/57600 binary64)) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64)) (fma.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x))) (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))) (fma.f64 #s(literal 4913/65548320768000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))))
(fma.f64 (*.f64 #s(literal 17/40320 binary64) x) x #s(literal 1/240 binary64))
(fma.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))
(fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))
(fma.f64 x (*.f64 #s(literal 17/40320 binary64) x) #s(literal 1/240 binary64))
(-.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 289/1625702400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64))) (neg.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal -1/240 binary64)))))
(+.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) #s(literal 1/240 binary64))
(+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)))

eval97.0ms (1.6%)

Memory
-4.2MiB live, 155.5MiB allocated
Compiler

Compiled 20 344 to 2 427 computations (88.1% saved)

prune16.0ms (0.3%)

Memory
11.5MiB live, 48.8MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5843587
Fresh011
Picked145
Done000
Total5858593
Accuracy
100.0%
Counts
593 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
50.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 112 to 83 computations (25.9% saved)

simplify31.0ms (0.5%)

Memory
-32.8MiB live, 18.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff2
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
cost-diff2
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(*.f64 #s(literal 1/24 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023107
03588
15788
26888
38188
410288
512688
615988
723388
836488
958088
1063688
1163988
1264788
1365288
1465688
1566388
1669688
1771988
1872188
072188
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)

localize166.0ms (2.7%)

Memory
1.0MiB live, 195.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
accuracy0.0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.046875
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
accuracy0.15625
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
accuracy31.769320129107484
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
accuracy0.0
(/.f64 #s(literal 2 binary64) x)
accuracy0.1796875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy31.68895630633285
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy0.046875
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
accuracy0.0546875
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
accuracy0.34765625
(*.f64 #s(literal 1/24 binary64) x)
accuracy31.769320129107484
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
Samples
64.0ms132×0valid
63.0ms66×2valid
12.0ms44×1valid
9.0ms14×3valid
Compiler

Compiled 86 to 24 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 41.0ms (42% of total)
ival-cos: 20.0ms (20.5% of total)
adjust: 8.0ms (8.2% of total)
ival-div: 7.0ms (7.2% of total)
const: 6.0ms (6.1% of total)
ival-sin: 5.0ms (5.1% of total)
ival-pow: 4.0ms (4.1% of total)
ival-sub: 3.0ms (3.1% of total)
ival-add: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
13 → 14
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 x)
(/ 2 x)
(* 1/24 (pow x 2))
(pow x 2)
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* 1/24 x) x) 1/2) x) (+ (* (* 1/24 x) x) 1/2) (* 1/24 x) (/ 1 (/ 2 x)) (/ (- 1 (cos x)) (sin x)) (/ 2 x) (+ (* (* 1/24 (* x x)) x) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* 1/24 (* x x)) (* x x) (pow 1 -1/2) (* x 1/2))
2.0ms
x
@inf
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* 1/24 x) x) 1/2) x) (+ (* (* 1/24 x) x) 1/2) (* 1/24 x) (/ 1 (/ 2 x)) (/ (- 1 (cos x)) (sin x)) (/ 2 x) (+ (* (* 1/24 (* x x)) x) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* 1/24 (* x x)) (* x x) (pow 1 -1/2) (* x 1/2))
1.0ms
x
@0
((/ (- 1 (cos x)) (sin x)) (* (+ (* (* 1/24 x) x) 1/2) x) (+ (* (* 1/24 x) x) 1/2) (* 1/24 x) (/ 1 (/ 2 x)) (/ (- 1 (cos x)) (sin x)) (/ 2 x) (+ (* (* 1/24 (* x x)) x) (* x 1/2)) (/ (- 1 (cos x)) (sin x)) (* 1/24 (* x x)) (* x x) (pow 1 -1/2) (* x 1/2))

simplify148.0ms (2.4%)

Memory
22.7MiB live, 96.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03895
111495
228095
364295
4122095
5284595
6367495
7453195
8495295
9548795
10613395
11691195
12748695
0802686
Stop Event
iter limit
node limit
Counts
14 → 14
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 x)
(/ 2 x)
(* 1/24 (pow x 2))
(pow x 2)
(/ (- 1 (cos x)) (sin x))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(pow x 2)
(*.f64 x x)
(/ (- 1 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))

rewrite208.0ms (3.4%)

Memory
-22.7MiB live, 125.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02396
03577
112677
277177
3797077
0800277
Stop Event
iter limit
node limit
iter limit
Counts
13 → 426
Calls
Call 1
Inputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/191102976 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 #s(literal 1/4 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/191102976 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 #s(literal -1/576 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
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(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) x) (/.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/576 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/576 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/24 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))

eval62.0ms (1%)

Memory
-11.2MiB live, 70.9MiB allocated
Compiler

Compiled 7 978 to 1 020 computations (87.2% saved)

prune26.0ms (0.4%)

Memory
-19.1MiB live, 17.6MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2791280
Fresh000
Picked224
Done044
Total2817288
Accuracy
100.0%
Counts
288 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
50.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
7.7%
#s(literal 1 binary64)
Compiler

Compiled 97 to 70 computations (27.8% saved)

simplify2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
131
031
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)

localize6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Samples
4.0ms256×0valid
Compiler

Compiled 3 to 4 computations (-33.3% saved)

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

series0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs
Calls

3 calls:

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

simplify2.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
Stop Event
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

rewrite4.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
000
000
Stop Event
saturated
saturated
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune4.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done066
Total077
Accuracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.3%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
50.4%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
50.5%
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
7.7%
#s(literal 1 binary64)
Compiler

Compiled 233 to 115 computations (50.6% saved)

regimes8.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
54.2%2x
54.0%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
54.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (cos x)) (sin x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64))))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
54.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
54.2%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes32.0ms (0.5%)

Memory
-31.1MiB live, 8.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
Calls

2 calls:

30.0ms
x
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
53.8%2(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
53.9%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
7.7%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
7.7%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch26.0ms (0.4%)

Memory
-3.2MiB live, 31.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
3.090855906582927
2791359.774134673
Samples
14.0ms144×0valid
Compiler

Compiled 253 to 190 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 5.0ms (44.5% of total)
ival-sin: 5.0ms (44.5% of total)
ival-sub: 1.0ms (8.9% of total)
ival-div: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.090855906582927
2791359.774134673
Compiler

Compiled 208 to 172 computations (17.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.090855906582927
2791359.774134673
Compiler

Compiled 181 to 163 computations (9.9% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.090855906582927
2791359.774134673
Compiler

Compiled 163 to 154 computations (5.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.090855906582927
2791359.774134673
Compiler

Compiled 118 to 127 computations (-7.6% saved)

simplify82.0ms (1.4%)

Memory
-7.2MiB live, 40.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038107
148107
254107
366107
493107
5122107
6197107
7502107
85460107
97031107
Stop Event
node limit
Calls
Call 1
Inputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness969.0ms (15.9%)

Memory
3.8MiB live, 481.3MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079202
1224202
2555196
31661196
43002196
54256196
64608196
75339196
86812196
08041172
0615
01012
13912
224712
3238711
0910611
026179
044167
1177167
21220167
08528167
02396
03577
112677
277177
3797077
0800277
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 239 to 129 computations (46% saved)

preprocess51.0ms (0.8%)

Memory
4.2MiB live, 80.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 274 to 106 computations (61.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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