Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, A

Time bar (total: 9.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze183.0ms (1.8%)

Memory
17.6MiB live, 294.4MiB 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 18 to 13 computations (27.8% saved)

sample1.2s (11.7%)

Memory
34.6MiB live, 1 975.1MiB allocated
Samples
863.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 686.0ms
ival-sin: 352.0ms (51.3% of total)
ival-mult: 166.0ms (24.2% of total)
ival-div: 148.0ms (21.6% of total)
exact: 11.0ms (1.6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain139.0ms (1.4%)

Memory
15.1MiB live, 249.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-2(-5.0763241254649835e-157)(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
00-0-(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
0130(9.346664342881067e+159)0-(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
00-0-#s(literal 8 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 1/2 binary64))
00-0-(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
00-0-(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
00-0-(sin.f64 x)
00-0-#s(literal 1/2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (*.f64 x #s(literal 1/2 binary64)))sensitivity1300
/.f64(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))u/n600
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))underflow60
Confusion
Predicted +Predicted -
+602
-13064
Precision
0.3157894736842105
Recall
0.967741935483871
Confusion?
Predicted +Predicted MaybePredicted -
+6002
-130064
Precision?
0.3157894736842105
Recall?
0.967741935483871
Freqs
test
numberfreq
066
1190
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 181 to 80 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sin: 26.0ms (53.3% of total)
ival-div: 13.0ms (26.7% of total)
ival-mult: 9.0ms (18.5% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess56.0ms (0.6%)

Memory
-23.0MiB live, 59.1MiB allocated
Algorithm
egg-herbie
Rules
586×times-frac
414×associate-*r/
412×associate-*r*
284×associate-*l*
270×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
13529
29528
329628
490028
5174728
6184828
7187828
8190628
9191828
10199028
11242528
01114
01914
12614
23614
34514
44814
04814
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff704
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
Rules
46×lower-*.f32
40×lower-*.f64
20×*-commutative
10×associate-/l*
10×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01945
12645
23645
34545
44845
04845
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize261.0ms (2.6%)

Memory
-23.5MiB live, 52.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.27572250976844204
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.34765625
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy14.370432625461866
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Samples
29.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (56.6% of total)
ival-mult: 5.0ms (25.7% of total)
ival-div: 3.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
5 → 48
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 8 binary64) #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (sin.f64 x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms
x
@-inf
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
1.0ms
x
@inf
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
1.0ms
x
@0
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
0.0ms
x
@-inf
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))

simplify470.0ms (4.7%)

Memory
25.7MiB live, 577.9MiB allocated
Algorithm
egg-herbie
Rules
18 506×lower-fma.f64
18 506×lower-fma.f32
4 370×lower-+.f64
4 370×lower-+.f32
3 662×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite421.0ms (4.2%)

Memory
-17.5MiB live, 272.3MiB allocated
Rules
2 420×lower-*.f32
2 414×lower-*.f64
2 008×lower-/.f32
2 006×lower-/.f64
534×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01134
01934
13428
211528
362824
0491524
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 286
Calls
Call 1
Inputs
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
Outputs
#s(literal 8/3 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 #s(literal -2 binary64) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8/3 binary64)) (*.f64 #s(literal -2 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
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(fma.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 8/3 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -8/3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 0 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8/3 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 8/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -8/3 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -8/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -1 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -8/3 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 #s(literal -8/3 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64))
(+.f64 (sin.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))

eval92.0ms (0.9%)

Memory
14.5MiB live, 56.7MiB allocated
Compiler

Compiled 5 289 to 750 computations (85.8% saved)

prune298.0ms (3%)

Memory
-14.6MiB live, 141.7MiB allocated
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New30330333
Fresh000
Picked101
Done000
Total30430334
Accuracy
100.0%
Counts
334 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
54.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
54.3%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
53.8%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
54.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
54.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
99.4%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
27.9%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))) (sin.f64 x))
26.6%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))) (sin.f64 x))
77.2%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
27.9%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sin.f64 x))
54.1%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
54.1%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
32.2%
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
54.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
51.4%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
54.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
54.2%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
99.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
54.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
77.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
49.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 860 to 588 computations (31.6% saved)

simplify265.0ms (2.7%)

Memory
11.4MiB live, 128.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff7168
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
cost-diff6592
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
cost-diff384
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
Rules
2 216×lower-fma.f32
2 214×lower-fma.f64
1 976×lower-*.f32
1 966×lower-*.f64
1 158×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034159
051149
189149
2126149
3187149
4269149
5436149
6891149
71861149
82659149
94057149
104905149
115325149
125409149
135456149
145490149
155979149
166333149
176573149
186655149
196659149
206659149
216769149
227521149
08028149
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.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)
#s(literal 4/3 binary64)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sin.f64 x)
x
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 8/3 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.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)
#s(literal 4/3 binary64)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sin.f64 x)
x
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 8/3 binary64)

localize286.0ms (2.9%)

Memory
-53.4MiB live, 216.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.171875
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.21712875976844204
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
accuracy0.34765625
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.00390625
(sin.f64 x)
accuracy0.3828125
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy14.369566037357927
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy14.786467050478475
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy0.00390625
(sin.f64 x)
accuracy0.37109375
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy14.300955101888205
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy14.797796789673082
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.3671875
(*.f64 #s(literal 2/3 binary64) x)
accuracy32.143854580557026
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy0.00390625
(sin.f64 x)
accuracy0.11328125
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
accuracy0.171875
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.21712875976844204
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Samples
104.0ms69×2valid
102.0ms135×0valid
31.0ms39×1valid
11.0ms13×3valid
Compiler

Compiled 162 to 35 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-div: 56.0ms (32.4% of total)
ival-mult: 34.0ms (19.7% of total)
ival-sin: 28.0ms (16.2% of total)
adjust: 20.0ms (11.6% of total)
ival-cos: 20.0ms (11.6% of total)
const: 9.0ms (5.2% of total)
ival-sub: 2.0ms (1.2% of total)
ival-add: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))>
#<alt (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))>
#<alt (*.f64 #s(literal 2/3 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))>
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (sin.f64 x)>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
Outputs
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (- 1 (cos x)) (sin x))
1.0ms
x
@inf
(/ 8/3 (/ (sin x) (+ (* (cos x) -1/2) 1/2)))
1.0ms
x
@-inf
(/ 8/3 (/ (sin x) (+ (* (cos x) -1/2) 1/2)))
1.0ms
x
@inf
(/ (sin x) (+ (* (cos x) -1/2) 1/2))
0.0ms
x
@-inf
(/ (sin x) (+ (* (cos x) -1/2) 1/2))

simplify444.0ms (4.5%)

Memory
15.2MiB live, 482.1MiB allocated
Algorithm
egg-herbie
Rules
11 396×lower-fma.f64
11 396×lower-fma.f32
3 914×lower-*.f64
3 914×lower-*.f32
3 828×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031590
15551590
213521584
325111584
444801584
547421584
651131584
759421584
875001584
083421470
Stop Event
iter limit
node limit
Counts
204 → 203
Calls
Call 1
Inputs
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
Outputs
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
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(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/241920 binary64) #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))

rewrite327.0ms (3.3%)

Memory
1.8MiB live, 562.9MiB allocated
Rules
3 812×lower-*.f32
3 802×lower-*.f64
3 430×lower-/.f32
3 420×lower-/.f64
2 566×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034122
051116
1153107
2789107
36865107
08162107
Stop Event
iter limit
node limit
iter limit
Counts
17 → 916
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sin.f64 x)
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)) #s(literal -3/8 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
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(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(*.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x))) #s(literal -8/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #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))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))

eval237.0ms (2.4%)

Memory
2.9MiB live, 462.5MiB allocated
Compiler

Compiled 24 318 to 2 632 computations (89.2% saved)

prune188.0ms (1.9%)

Memory
26.5MiB live, 497.5MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 351171 368
Fresh18725
Picked235
Done000
Total1 371271 398
Accuracy
100.0%
Counts
1 398 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
54.3%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
54.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
54.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
53.8%
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
77.2%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
54.1%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/7560 binary64)) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
50.0%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
49.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(literal 4 binary64) x)))
99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
54.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
51.4%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
99.4%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
98.9%
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
54.1%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
99.3%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
99.4%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
49.3%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
54.2%
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 638 to 454 computations (28.8% saved)

simplify25.0ms (0.3%)

Memory
-7.0MiB live, 33.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
cost-diff384
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
cost-diff6592
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)
cost-diff0
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x))
cost-diff0
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
cost-diff0
(*.f64 x #s(literal 1/18 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Rules
178×lower-*.f32
164×lower-*.f64
132×lower-fma.f32
124×lower-fma.f64
52×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047209
072203
1119203
2176203
3232203
4239203
5241203
0241203
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/3 binary64)
#s(literal 4 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 4/3 binary64)
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)
Outputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x))
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64)) x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 4 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/3 binary64)
#s(literal 4 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(sin.f64 x)
x
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
#s(literal 4/3 binary64)
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)

localize365.0ms (3.7%)

Memory
-145.8MiB live, 481.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.09765625
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
accuracy14.297150186842583
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy14.786467050478475
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy0.00390625
(sin.f64 x)
accuracy0.19140625
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy0.37109375
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
accuracy0.4780195519026302
(+.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.23828125
(*.f64 x #s(literal -1/180 binary64))
accuracy0.3828125
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
accuracy2.5539207877648225
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)
accuracy32.317276145452176
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x))
accuracy0.0703125
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
accuracy0.20703125
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
accuracy0.3515625
(*.f64 x #s(literal 1/18 binary64))
accuracy32.29994336006098
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.37109375
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Samples
180.0ms69×2valid
63.0ms135×0valid
57.0ms39×1valid
15.0ms13×3valid
Compiler

Compiled 189 to 47 computations (75.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 26.0ms (20.6% of total)
ival-cos: 22.0ms (17.4% of total)
const: 20.0ms (15.8% of total)
ival-div: 18.0ms (14.3% of total)
adjust: 12.0ms (9.5% of total)
ival-add: 11.0ms (8.7% of total)
ival-sin: 10.0ms (7.9% of total)
ival-tan: 6.0ms (4.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-8.6MiB live, 30.1MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))>
#<alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))>
#<alt #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x))>
#<alt (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64))>
#<alt (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))>
#<alt (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))>
#<alt (sin.f64 x)>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))>
#<alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (cos.f64 x)>
#<alt (*.f64 x #s(literal -1/180 binary64))>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))>
#<alt 4>
#<alt (+ 4 (* -1/3 (pow x 2)))>
#<alt (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))>
#<alt (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))>
#<alt (* -1/180 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (/ (sin x) (+ 1 (cos x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (+ 1 (cos x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x (+ (* x (* x 1/18)) 2/3))
3.0ms
x
@inf
(+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4)
1.0ms
x
@inf
(* (tan (* 1/2 x)) 4/3)
1.0ms
x
@-inf
(* (tan (* 1/2 x)) 4/3)
1.0ms
x
@inf
(* x (+ (* x (* x 1/18)) 2/3))

simplify488.0ms (4.9%)

Memory
0.1MiB live, 711.7MiB allocated
Algorithm
egg-herbie
Rules
18 490×lower-fma.f64
18 490×lower-fma.f32
5 304×lower-*.f64
5 304×lower-*.f32
2 928×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851930
15131924
213711876
343991876
475411876
080701718
Stop Event
iter limit
node limit
Counts
240 → 239
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))
(* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))
4
(+ 4 (* -1/3 (pow x 2)))
(+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))
(+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3)))
(* -1/180 (pow x 4))
(* -1 (* (pow x 4) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1/180 (pow x 4))
(* -1 (* (pow x 4) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(/ (sin x) (+ 1 (cos x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(+ 1 (cos x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
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(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
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(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
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(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/80640 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))

rewrite396.0ms (4%)

Memory
31.3MiB live, 546.6MiB allocated
Rules
4 620×lower-*.f32
4 608×lower-*.f64
4 278×lower-fma.f32
4 270×lower-fma.f64
4 216×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047173
072167
1234164
21340164
08466164
Stop Event
iter limit
node limit
iter limit
Counts
20 → 737
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64))
(/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
(*.f64 x #s(literal -1/180 binary64))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(fma.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (cos.f64 x))))
(neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(neg.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
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(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) #s(literal -1/512 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) #s(literal 1/4 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1/180 binary64))
(*.f64 #s(literal -1/180 binary64) x)

eval131.0ms (1.3%)

Memory
12.9MiB live, 314.5MiB allocated
Compiler

Compiled 22 532 to 2 252 computations (90% saved)

prune247.0ms (2.5%)

Memory
-12.6MiB live, 315.4MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New999121 011
Fresh10919
Picked235
Done123
Total1 012261 038
Accuracy
100.0%
Counts
1 038 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
54.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
98.9%
(/.f64 (*.f64 (sin.f64 x) #s(literal -4/3 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
49.8%
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/7560 binary64) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
50.0%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
49.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(approx (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) #s(literal 4 binary64)) x)))
2.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
2.3%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))))
99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
54.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
54.1%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
99.3%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
99.4%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
98.9%
(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
49.3%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
54.2%
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)))
49.2%
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.2%
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64))))
77.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
49.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 557 to 390 computations (30% saved)

simplify14.0ms (0.1%)

Memory
-9.4MiB live, 29.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff704
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))
cost-diff0
#s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))
cost-diff0
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))))
cost-diff0
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64)))
cost-diff0
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff1088
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Rules
116×lower-*.f32
108×lower-fma.f32
106×lower-*.f64
104×lower-fma.f64
42×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044229
065223
193221
2136221
3191221
4201221
5205221
0205218
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
#s(literal 4/3 binary64)
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))))
#s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin.f64 x)
#s(literal 3/8 binary64)
Outputs
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 4/3 binary64)
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
#s(literal 8/3 binary64)
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))))
#s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 x)
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(sin.f64 x)
#s(literal 3/8 binary64)

localize195.0ms (2%)

Memory
11.3MiB live, 402.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.24609375
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
accuracy14.395543009770096
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
accuracy14.786467050478475
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.26953125
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
accuracy0.41796875
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
accuracy0.23828125
(*.f64 x #s(literal -1/180 binary64))
accuracy0.3828125
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
accuracy31.016398501810176
#s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))
accuracy32.317276145452176
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))))
accuracy0
(*.f64 x #s(literal 1/4 binary64))
accuracy0.09765625
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
accuracy32.14109932954511
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.3828125
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Samples
53.0ms135×0valid
41.0ms57×2valid
31.0ms26×3valid
18.0ms38×1valid
Compiler

Compiled 175 to 37 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-div: 26.0ms (23.1% of total)
ival-cos: 20.0ms (17.8% of total)
ival-mult: 15.0ms (13.3% of total)
const: 13.0ms (11.5% of total)
ival-sin: 13.0ms (11.5% of total)
adjust: 11.0ms (9.8% of total)
ival-tan: 7.0ms (6.2% of total)
ival-add: 5.0ms (4.4% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (tan.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))>
#<alt #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64)))>
#<alt (*.f64 x #s(literal 1/4 binary64))>
#<alt (/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))>
#<alt #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))))>
#<alt #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))>
#<alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))>
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (cos.f64 x)>
#<alt (*.f64 (sin.f64 x) #s(literal 3/8 binary64))>
#<alt (*.f64 x #s(literal -1/180 binary64))>
#<alt (sin.f64 x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))>
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ (sin x) (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* -1/3 (pow x 2))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/180 (pow x 2)) 1/3))>
#<alt (* x (- (* -1/180 (pow x 2)) 1/3))>
#<alt (* x (- (* -1/180 (pow x 2)) 1/3))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 3/8 x)>
#<alt (* x (+ 3/8 (* -1/16 (pow x 2))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (/ 1 (tan (* 1/2 x))) 4/3)
1.0ms
x
@-inf
(/ 1 (tan (* 1/2 x)))
1.0ms
x
@inf
(/ 1 (tan (* 1/2 x)))
0.0ms
x
@-inf
(/ (/ 1 (tan (* 1/2 x))) 4/3)
0.0ms
x
@0
(/ (/ 1 (tan (* 1/2 x))) 4/3)

simplify875.0ms (8.8%)

Memory
-41.6MiB live, 458.6MiB allocated
Algorithm
egg-herbie
Rules
15 430×lower-fma.f64
15 430×lower-fma.f32
4 944×lower-+.f64
4 944×lower-+.f32
3 968×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321971
15851965
214871954
330141954
457661924
084141772
Stop Event
iter limit
node limit
Counts
228 → 227
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* (pow x 2) (- (* -1/7560 (pow x 2)) 1/180)) 1/3))) x)
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ (sin x) (+ 1/2 (* -1/2 (cos x))))
(/ 4 x)
(/ (+ 4 (* -1/3 (pow x 2))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(/ (+ 4 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/3))) x)
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 4 (pow x 4)) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))
(* -1 (* (pow x 3) (- (+ 1/180 (* 1/3 (/ 1 (pow x 2)))) (/ 4 (pow x 4)))))
(* -1/3 x)
(* x (- (* -1/180 (pow x 2)) 1/3))
(* x (- (* -1/180 (pow x 2)) 1/3))
(* x (- (* -1/180 (pow x 2)) 1/3))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/180 (* 1/3 (/ 1 (pow x 2))))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/360 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
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(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64)) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 3/8 x)
(*.f64 x #s(literal 3/8 binary64))
(* x (+ 3/8 (* -1/16 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/13440 binary64)) #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite429.0ms (4.3%)

Memory
35.0MiB live, 630.5MiB allocated
Rules
5 682×lower-*.f32
5 672×lower-*.f64
5 472×lower-fma.f32
5 468×lower-fma.f64
4 224×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044191
065185
1200183
21015183
08512180
Stop Event
iter limit
node limit
iter limit
Counts
19 → 571
Calls
Call 1
Inputs
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
#s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 x #s(literal 1/4 binary64))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
#s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))))
#s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 x)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 x #s(literal -1/180 binary64))
(sin.f64 x)
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal -1 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(*.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
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(cos.f64 x)
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eval112.0ms (1.1%)

Memory
5.4MiB live, 308.2MiB allocated
Compiler

Compiled 15 381 to 1 728 computations (88.8% saved)

prune135.0ms (1.4%)

Memory
-0.8MiB live, 360.2MiB allocated
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New8969905
Fresh61016
Picked325
Done055
Total90526931
Accuracy
100.0%
Counts
931 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.8%
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
49.8%
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
49.8%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
50.0%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
49.5%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(approx (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) #s(literal 4 binary64)) x)))
2.7%
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) #s(approx (* x (+ (* x (* x -1/180)) -1/3)) (*.f64 x #s(literal -1/3 binary64))))))
99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
49.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)))
49.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
50.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
50.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
49.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
54.2%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
99.3%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
99.4%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
98.9%
(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
49.3%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
54.2%
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)))
49.2%
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.2%
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64))))
49.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
49.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 134 to 441 computations (61.1% saved)

regimes43.0ms (0.4%)

Memory
3.2MiB live, 122.2MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) #s(approx (* x (+ (* x (* x -1/180)) -1/3)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(approx (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/7560 binary64)) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/7560 binary64) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))) (sin.f64 x))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal -4/3 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
Calls

2 calls:

20.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
20.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes17.0ms (0.2%)

Memory
4.2MiB live, 43.2MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) #s(approx (* x (+ (* x (* x -1/180)) -1/3)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(approx (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/7560 binary64)) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/7560 binary64) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Outputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Calls

2 calls:

8.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
7.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes17.0ms (0.2%)

Memory
-2.3MiB live, 39.5MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) #s(approx (* x (+ (* x (* x -1/180)) -1/3)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(approx (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (tan (* 1/2 x))) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/7560 binary64)) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/7560 binary64) #s(literal -1/180 binary64)) #s(literal -1/3 binary64)) #s(literal 4 binary64)) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
Calls

2 calls:

8.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
7.0ms
x
Results
AccuracySegmentsBranch
50.1%1x
50.1%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes29.0ms (0.3%)

Memory
-18.1MiB live, 21.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) #s(approx (* x (+ (* x (* x -1/180)) -1/3)) (*.f64 x #s(literal -1/3 binary64))))))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(literal 4 binary64) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) (/.f64 #s(approx (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) #s(literal 4 binary64)) x)))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (/ (+ (* (cos x) -1/2) 1/2) (sin x)) 3/8) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/3 binary64))))))
Outputs
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
Calls

2 calls:

24.0ms
x
4.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
49.8%1x
49.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -30.7b remaining (-95%)

Threshold costs -30.7b (-95%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 8/3 binary64) #s(approx (/ (sin x) (+ (* (cos x) -1/2) 1/2)) #s(approx (/ (+ (* x (* x (+ (* x (* x -1/180)) -1/3))) 4) x) #s(approx (* x (+ (* x (* x -1/180)) -1/3)) (*.f64 x #s(literal -1/3 binary64))))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Calls

2 calls:

2.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
49.5%1x
49.5%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04364
15064
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ 1 (tan (* 1/2 x))) 4/3) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (/ (+ (* (cos x) -1/2) 1/2) (sin x)) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

soundness1.5s (14.7%)

Memory
-22.5MiB live, 920.4MiB allocated
Rules
18 506×lower-fma.f64
18 506×lower-fma.f32
18 490×lower-fma.f64
18 490×lower-fma.f32
15 430×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044191
065185
1200183
21015183
08512180
01851930
15131924
213711876
343991876
475411876
080701718
047173
072167
1234164
21340164
08466164
02321971
15851965
214871954
330141954
457661924
084141772
01134
01934
13428
211528
362824
0491524
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
034122
051116
1153107
2789107
36865107
08162107
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 206 to 136 computations (34% saved)

preprocess55.0ms (0.6%)

Memory
3.3MiB live, 161.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 164 to 110 computations (32.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...