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

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze205.0ms (3.4%)

Memory
32.9MiB live, 150.1MiB 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)

sample1.6s (26.6%)

Memory
-8.2MiB live, 767.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 884.0ms
ival-sin: 496.0ms (56.1% of total)
ival-mult: 193.0ms (21.8% of total)
ival-div: 176.0ms (19.9% of total)
exact: 10.0ms (1.1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain143.0ms (2.3%)

Memory
3.1MiB live, 305.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
630-3(-5.726483118999193e-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))))
0131(1.9753020598791216e+290)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)))sensitivity1310
/.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 -
+603
-13162
Precision
0.31413612565445026
Recall
0.9523809523809523
Confusion?
Predicted +Predicted MaybePredicted -
+6003
-131062
Precision?
0.31413612565445026
Recall?
0.9523809523809523
Freqs
test
numberfreq
065
1191
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 179 to 48 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sin: 22.0ms (47.3% of total)
ival-div: 14.0ms (30.1% of total)
ival-mult: 9.0ms (19.3% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess125.0ms (2%)

Memory
-8.0MiB live, 150.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
12929
28728
327628
454428
5112028
6247628
7511328
01114
01914
12614
24014
38314
418614
539714
681614
7182914
8453214
0817314
Stop Event
iter limit
node limit
iter limit
node 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))
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 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(/.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 16 to 11 computations (31.3% saved)

simplify92.0ms (1.5%)

Memory
3.2MiB live, 121.1MiB 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-diff2
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01945
12645
24045
38345
418645
539745
681645
7182945
8453245
0817345
Stop Event
iter limit
node limit
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 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) 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 -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.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 #s(literal -1/2 binary64) x)))
(/.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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize40.0ms (0.7%)

Memory
-2.8MiB live, 74.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.16796875
(*.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))))
accuracy0.33203125
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy14.506001248786834
(/.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
32.0ms256×0valid
Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 14.0ms (57.8% of total)
ival-div: 6.0ms (24.8% of total)
ival-mult: 4.0ms (16.5% 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
9.1MiB live, 9.1MiB allocated
Counts
5 → 20
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
(* 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))))))))
(* 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))))
(* 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))))
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))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
1.0ms
x
@inf
((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))
1.0ms
x
@0
((/ 8 3) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (sin x))

simplify158.0ms (2.6%)

Memory
13.0MiB live, 217.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090225
1292225
2833219
33515219
08076201
Stop Event
iter limit
node limit
Counts
20 → 19
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))))))))
(* 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))))
(* 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))))
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))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)

rewrite49.0ms (0.8%)

Memory
-17.8MiB live, 99.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
01934
12928
28128
036028
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 41
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 (*.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.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)) (neg.f64 (sin.f64 x))))
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 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 (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 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 8/3 binary64) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (neg.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 (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.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))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (PI.f64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.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)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 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)))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 (neg.f64 (neg.f64 x)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 x)
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))

eval7.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Compiler

Compiled 1 133 to 229 computations (79.8% saved)

prune13.0ms (0.2%)

Memory
-12.5MiB live, 31.1MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New481260
Fresh000
Picked101
Done000
Total491261
Accuracy
99.7%
Counts
61 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
77.1%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
77.1%
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
27.4%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
28.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
77.0%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
77.0%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
99.3%
(*.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)))
98.9%
(*.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)))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
49.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 412 to 308 computations (25.2% saved)

simplify106.0ms (1.7%)

Memory
9.9MiB live, 126.9MiB 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
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
cost-diff0
(*.f64 #s(literal 4/3 binary64) x)
cost-diff0
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
cost-diff0
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff0
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) 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
(*.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-diff3
(*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039219
061210
1105210
2195210
3548210
41750210
53223210
64407210
75890210
08108210
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 8/3 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 8/3 binary64))
#s(literal 8/3 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
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 binary64)
x
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 x)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
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 8/3 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sin.f64 x)
(*.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)))
#s(literal 8/3 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
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 binary64)
x
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 x)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)

localize119.0ms (1.9%)

Memory
-33.6MiB live, 248.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.25390625
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.39453125
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy14.575551748056998
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
accuracy0.16796875
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.3046875
(*.f64 #s(literal 4/3 binary64) x)
accuracy14.506001248786834
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
accuracy32.09629259644489
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
accuracy0.046875
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.08203125
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
accuracy0.1640625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy32.24444272564647
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
accuracy0.3046875
(*.f64 #s(literal 2/3 binary64) x)
accuracy31.9797477292759
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy0.0
(sin.f64 x)
accuracy0.21368712333376821
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.217128759768442
(*.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)))
accuracy0.33203125
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
Samples
84.0ms256×0valid
Compiler

Compiled 435 to 75 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-sin: 19.0ms (28.6% of total)
ival-mult: 18.0ms (27.1% of total)
const: 15.0ms (22.6% of total)
ival-div: 6.0ms (9% of total)
ival-pow2: 4.0ms (6% of total)
ival-add: 3.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
33.4MiB live, 33.4MiB allocated
Counts
19 → 54
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 8/3 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(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(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 x)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
Outputs
(* 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))))))))
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)))))))
(* 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))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(* 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))))
(* 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))))
(* 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))))
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))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(pow (sin (* 1/2 x)) 2)
(sin x)
(/ 8/3 (sin x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)))
3.0ms
x
@-inf
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)))
2.0ms
x
@0
((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) (+ (* 1/180 (* x x)) 1/18) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (* (pow (sin (* 1/2 x)) 2) (/ 8/3 (sin x))) (pow (sin (* 1/2 x)) 2) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)))

simplify116.0ms (1.9%)

Memory
-8.7MiB live, 185.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186564
1632564
21875557
35445557
08108514
Stop Event
iter limit
node limit
Counts
54 → 53
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))))))))
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)))))))
(* 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))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(* 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))))
(* 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))))
(* 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))))
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))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(pow (sin (* 1/2 x)) 2)
(sin x)
(/ 8/3 (sin x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) x) x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x))
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 1/180 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* 1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(* 1/180 (pow x 2))
(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) x) x)) (*.f64 x x)) #s(literal 1/180 binary64)))

rewrite183.0ms (3%)

Memory
3.4MiB live, 241.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039182
061173
1150173
2582173
35387173
08106173
Stop Event
iter limit
node limit
iter limit
Counts
19 → 453
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 8/3 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(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(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin.f64 x)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
Outputs
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.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 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))))
(*.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 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal -8/3 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(sin.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)))
(sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64)))
(sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.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 -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64)))
(fabs.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))
(cos.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (asin.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x))))
(cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x #s(literal 1/2 binary64))
(*.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 x #s(literal 2/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (+.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/18 binary64)) x) x) #s(literal 2/3 binary64) #s(literal 4/9 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (*.f64 #s(literal 2/3 binary64) x) #s(literal 4/9 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64)) #s(literal 2/3 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))
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(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
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(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))
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(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
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(*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
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(sin.f64 (+.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 x) (PI.f64)))
(sin.f64 x)
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
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(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(neg.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))

eval90.0ms (1.5%)

Memory
7.1MiB live, 164.3MiB allocated
Compiler

Compiled 20 419 to 2 422 computations (88.1% saved)

prune41.0ms (0.7%)

Memory
11.0MiB live, 86.7MiB allocated
Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New60723630
Fresh347
Picked055
Done000
Total61032642
Accuracy
99.9%
Counts
642 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
53.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
27.0%
(/.f64 (*.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 x))
27.4%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
28.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
47.7%
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
24.5%
(*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
77.0%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
27.7%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
77.0%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
53.4%
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
49.6%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))
70.0%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
99.3%
(*.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)))
25.2%
(*.f64 (/.f64 (sin.f64 (acos.f64 (cos.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)))
49.6%
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
53.6%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
53.7%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
13.6%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
98.9%
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
49.1%
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))))
45.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
29.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
27.9%
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
53.7%
(*.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 8/3 binary64)))
48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
48.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64)) #s(literal 2/3 binary64))))))
49.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
9.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) x) x)) (*.f64 x x)) #s(literal 1/180 binary64)))))
Compiler

Compiled 1 315 to 953 computations (27.5% saved)

simplify111.0ms (1.8%)

Memory
4.2MiB live, 162.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
cost-diff1
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
cost-diff0
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
cost-diff1
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
cost-diff0
(*.f64 #s(literal 4/3 binary64) x)
cost-diff0
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
cost-diff0
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff0
(sin.f64 x)
cost-diff0
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057534
094534
1163534
2414534
31959534
47934534
08004526
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 binary64)
x
(sin.f64 x)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
(-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(literal 4/9 binary64)
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
#s(literal 2/3 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 3 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 8/27 binary64)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
#s(literal 4/9 binary64)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 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 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)
x
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x 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 x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 binary64)
x
(sin.f64 x)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
(*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64)))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64)) x)
(-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 4/9 binary64))
#s(literal 4/9 binary64)
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))
#s(literal 2/3 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64)))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64)) #s(literal 8/27 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))
(pow.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 3 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 8/27 binary64)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
#s(literal 4/9 binary64)

localize196.0ms (3.2%)

Memory
-43.2MiB live, 360.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5319137695368841
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))
accuracy1.0022673094423045
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
accuracy24.590468107827984
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
accuracy32.24444272564647
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
accuracy0.19921875
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
accuracy0.21484375
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
accuracy22.82059959179138
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
accuracy32.24444272564647
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
accuracy0.28125
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.3046875
(*.f64 #s(literal 4/3 binary64) x)
accuracy0.3247237617849413
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))
accuracy32.09629259644489
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.1015625
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy0.21875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy32.22566522746922
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy0.0
(sin.f64 x)
accuracy0.28125
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.39453125
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy0.5898419152197449
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
Samples
113.0ms242×0valid
14.0ms11×3valid
1.0ms1valid
1.0ms2valid
Compiler

Compiled 1 032 to 115 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 30.0ms (29.7% of total)
const: 23.0ms (22.8% of total)
ival-div: 13.0ms (12.9% of total)
ival-sin: 11.0ms (10.9% of total)
ival-pow: 10.0ms (9.9% of total)
ival-add: 5.0ms (4.9% of total)
ival-sub: 4.0ms (4% of total)
adjust: 3.0ms (3% of total)
ival-pow2: 3.0ms (3% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
33.8MiB live, 33.8MiB allocated
Counts
23 → 87
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))
Outputs
(* 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
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 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))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow 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))))
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)))
(* 4/9 x)
(* x (+ 4/9 (* -1/324 (pow x 4))))
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324))))
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324))))
(* -2/3 x)
(* x (- (* 1/18 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3))
8/27
(+ 8/27 (* 1/5832 (pow x 6)))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2)))))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))))
(* 1/18 x)
(* x (+ 1/18 (* 1/180 (pow x 2))))
(* 9/4 x)
(* x (+ 9/4 (* 3/16 (pow x 2))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2))))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2))))))))
1/5832
(+ 1/5832 (* 1/19440 (pow x 2)))
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* (pow x 2) (+ 1/194400 (* 1/5832000 (pow x 2)))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(/ 8/3 (sin x))
(sin x)
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (sin (* 1/2 x)))
(* -1/180 (pow x 4))
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* -1/32400 (pow x 9))
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2))))))
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400))
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4))))
(* 1/5832000 (pow x 12))
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(* 1/180 (pow x 3))
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(/ 32400 (pow x 7))
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7))
(* 1/5832000 (pow x 6))
(* (pow x 6) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8))))))
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7)))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (* (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (* (+ (* (* x x) 1/180) 1/18) x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (pow (+ (* (* x x) 1/180) 1/18) 3))
5.0ms
x
@inf
((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (* (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (* (+ (* (* x x) 1/180) 1/18) x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (pow (+ (* (* x x) 1/180) 1/18) 3))
5.0ms
x
@-inf
((* (* (/ 8/3 (sin x)) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8/3 (sin x)) (sin (* x 1/2))) (/ 8/3 (sin x)) (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (* (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (sin (* x 1/2))) (/ (* (/ 8 3) (sin (* x 1/2))) (sin x)) (* (/ 8 3) (sin (* x 1/2))) (* 4/3 x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (* (+ (* (* x x) 1/180) 1/18) x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (pow (+ (* (* x x) 1/180) 1/18) 3))

simplify159.0ms (2.6%)

Memory
-13.8MiB live, 214.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0300993
1995987
23056982
37418982
08057927
Stop Event
iter limit
node limit
Counts
87 → 86
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
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(/ 8/3 x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 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))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow 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))))
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)))
(* 4/9 x)
(* x (+ 4/9 (* -1/324 (pow x 4))))
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324))))
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324))))
(* -2/3 x)
(* x (- (* 1/18 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3))
8/27
(+ 8/27 (* 1/5832 (pow x 6)))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2)))))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))))
(* 1/18 x)
(* x (+ 1/18 (* 1/180 (pow x 2))))
(* 9/4 x)
(* x (+ 9/4 (* 3/16 (pow x 2))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2))))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2))))))))
1/5832
(+ 1/5832 (* 1/19440 (pow x 2)))
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* (pow x 2) (+ 1/194400 (* 1/5832000 (pow x 2)))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(/ 8/3 (sin x))
(sin x)
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 8/3 (sin (* 1/2 x)))
(* -1/180 (pow x 4))
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* -1/32400 (pow x 9))
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2))))))
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400))
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4))))
(* 1/5832000 (pow x 12))
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(* 1/180 (pow x 3))
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(/ 32400 (pow x 7))
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7))
(* 1/5832000 (pow x 6))
(* (pow x 6) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8))))))
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7)))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/1440 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/241920 binary64)) #s(literal 1/18 binary64))) (*.f64 #s(literal 4/3 binary64) x))
(+ 2/3 (* -1/18 (pow x 2)))
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(* 4/9 x)
(*.f64 #s(literal 4/9 binary64) x)
(* x (+ 4/9 (* -1/324 (pow x 4))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/324 binary64) #s(literal 4/9 binary64)) x)
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x)
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324))))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/32400 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* 1/18 (pow x 2)) 2/3))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) x)
8/27
#s(literal 8/27 binary64)
(+ 8/27 (* 1/5832 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/19440 binary64) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/194400 binary64) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(* x (+ 1/18 (* 1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)
(* 9/4 x)
(*.f64 #s(literal 9/4 binary64) x)
(* x (+ 9/4 (* 3/16 (pow x 2))))
(*.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal 9/4 binary64)) x)
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/160 binary64) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)
1/5832
#s(literal 1/5832 binary64)
(+ 1/5832 (* 1/19440 (pow x 2)))
(fma.f64 #s(literal 1/19440 binary64) (*.f64 x x) #s(literal 1/5832 binary64))
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/194400 binary64) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64))
(+ 1/5832 (* (pow x 2) (+ 1/19440 (* (pow x 2) (+ 1/194400 (* 1/5832000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5832000 binary64) (*.f64 x x) #s(literal 1/194400 binary64)) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal -1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/180 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1/32400 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/32400 binary64))
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64)) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400))
(*.f64 (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32400 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x)) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/5832000 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/5832000 binary64))
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (/.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 12 binary64)))
(* 1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64))
(* (pow x 3) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/180 binary64)))
(/ 32400 (pow x 7))
(/.f64 #s(literal 32400 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (-.f64 #s(literal 32400 binary64) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/5832000 (pow x 6))
(*.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5832000 binary64)) (/.f64 #s(literal -1/194400 binary64) (*.f64 x x))) (/.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64))))
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/32400 binary64)) (/.f64 #s(literal -1/1620 binary64) (*.f64 x x))) (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 7 binary64))))
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))

rewrite188.0ms (3.1%)

Memory
17.0MiB live, 298.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057378
094378
1287336
21828336
08461330
Stop Event
iter limit
node limit
iter limit
Counts
23 → 513
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
(*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x)
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 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 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 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 (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 (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 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
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eval177.0ms (2.9%)

Memory
-24.8MiB live, 215.3MiB allocated
Compiler

Compiled 46 817 to 3 633 computations (92.2% saved)

prune36.0ms (0.6%)

Memory
12.2MiB live, 88.8MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New7227729
Fresh61622
Picked325
Done145
Total73229761
Accuracy
100.0%
Counts
761 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
53.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
27.4%
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
28.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
47.7%
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
24.5%
(*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
77.0%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
27.7%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
77.0%
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
49.6%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))
70.0%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
25.2%
(*.f64 (/.f64 (sin.f64 (acos.f64 (cos.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)))
49.6%
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
53.6%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
53.7%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
13.6%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
99.3%
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
45.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
29.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
27.9%
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
53.7%
(*.f64 #s(approx (* (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
48.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))
48.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/324 binary64) #s(literal 4/9 binary64)) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
49.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x))) (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) #s(literal 2 binary64)))))
49.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
49.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 194 to 898 computations (24.8% saved)

simplify118.0ms (1.9%)

Memory
14.6MiB live, 127.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff0
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
cost-diff2
(*.f64 #s(literal 1 binary64) x)
cost-diff5
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
cost-diff0
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
cost-diff1
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
cost-diff0
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x))
cost-diff0
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
cost-diff1
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) 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 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
cost-diff3
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068500
0103487
1193479
2493476
32179476
47859476
08072465
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(literal 8/3 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)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x))
(*.f64 #s(literal 4/9 binary64) x)
#s(literal 4/9 binary64)
x
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
#s(literal 2/3 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(*.f64 x x)
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))
#s(literal 8/27 binary64)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
x
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(*.f64 x x)
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
#s(literal 4/9 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 8/3 binary64)
(*.f64 #s(literal 2 binary64) (sin.f64 x))
#s(literal 2 binary64)
(sin.f64 x)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)
Outputs
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 8/3 binary64)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sin.f64 x)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))))
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64))))
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x))
(*.f64 #s(literal 4/9 binary64) x)
#s(literal 4/9 binary64)
x
(-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x (fma.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2/3 binary64)))
#s(literal 2/3 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(*.f64 x x)
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))))
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))) #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)))
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))
#s(literal 8/27 binary64)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))
x
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(*.f64 x x)
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x #s(literal -2/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
#s(literal 4/9 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
x
#s(literal 8/3 binary64)
(*.f64 #s(literal 2 binary64) (sin.f64 x))
#s(literal 2 binary64)
(sin.f64 x)
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize341.0ms (5.6%)

Memory
5.7MiB live, 404.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.25390625
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.296875
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy14.506001248786834
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
accuracy0.0
(cos.f64 (*.f64 #s(literal 1 binary64) x))
accuracy0.29296875
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
accuracy14.478295827870962
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
accuracy14.807742201321584
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
accuracy1.0022673094423045
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
accuracy24.590468107827984
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
accuracy31.880502225427872
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))
accuracy32.24444272564647
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
accuracy0.375
(*.f64 #s(literal 4/9 binary64) x)
accuracy22.82059959179138
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
accuracy32.24444272564647
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
accuracy32.92518076788444
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x))
accuracy0.0
(sin.f64 x)
accuracy0.2109375
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
accuracy0.21368712333376821
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.28125
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
Samples
87.0ms133×0valid
72.0ms60×2valid
53.0ms40×1valid
37.0ms23×3valid
Compiler

Compiled 948 to 137 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 48.0ms (23.5% of total)
const: 30.0ms (14.7% of total)
ival-cos: 25.0ms (12.2% of total)
ival-add: 24.0ms (11.7% of total)
adjust: 19.0ms (9.3% of total)
ival-sin: 17.0ms (8.3% of total)
ival-div: 15.0ms (7.3% of total)
ival-pow: 11.0ms (5.4% of total)
ival-sub: 7.0ms (3.4% of total)
ival-pow2: 7.0ms (3.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
23 → 95
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 x)
(*.f64 #s(literal 4/9 binary64) x)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
Outputs
(* 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
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
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)))))))
(* 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))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)))
(* 4/9 x)
(* x (+ 4/9 (* -1/324 (pow x 4))))
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324))))
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324))))
(* -2/3 x)
(* x (- (* 1/18 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3))
8/27
(+ 8/27 (* 1/5832 (pow x 6)))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2)))))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))))
x
(* 4/3 (pow x 2))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(* 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))))
(* 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))))
(* 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))))
(* 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))))
(* 9/4 x)
(* x (+ 9/4 (* 3/16 (pow x 2))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2))))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2))))))))
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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* -1/180 (pow x 4))
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* -1/32400 (pow x 9))
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2))))))
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400))
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4))))
(* 1/5832000 (pow x 12))
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 8/3 (- 1 (cos x)))
(- 1 (cos x))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin x)
(/ 32400 (pow x 7))
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7))
(cos x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8))))))
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7)))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (sin (* x 1/2))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (* 1 x) (* (- 1 (cos (* 1 x))) 8/3) (- 1 (cos (* 1 x))) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 4/9 x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (cos (* 1 x)))
4.0ms
x
@inf
((* (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (sin (* x 1/2))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (* 1 x) (* (- 1 (cos (* 1 x))) 8/3) (- 1 (cos (* 1 x))) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 4/9 x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (cos (* 1 x)))
2.0ms
x
@0
((* (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (sin (* x 1/2))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/ (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x))) (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9))) (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (* 1 x) (* (- 1 (cos (* 1 x))) 8/3) (- 1 (cos (* 1 x))) (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (sin x)) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x) (* 4/9 x) (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (cos (* 1 x)))

simplify213.0ms (3.5%)

Memory
-29.3MiB live, 211.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03721122
112021122
235531111
378651111
082771047
Stop Event
iter limit
node limit
Counts
95 → 94
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
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
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)))))))
(* 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))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)))
(* 4/9 x)
(* x (+ 4/9 (* -1/324 (pow x 4))))
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324))))
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324))))
(* -2/3 x)
(* x (- (* 1/18 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3))
8/27
(+ 8/27 (* 1/5832 (pow x 6)))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2)))))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))))
x
(* 4/3 (pow x 2))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(* 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))))
(* 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))))
(* 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))))
(* 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))))
(* 9/4 x)
(* x (+ 9/4 (* 3/16 (pow x 2))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2))))))
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2))))))))
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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(* -1/180 (pow x 4))
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* -1/32400 (pow x 9))
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2))))))
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400))
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4))))
(* 1/5832000 (pow x 12))
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 8/3 (- 1 (cos x)))
(- 1 (cos x))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin x)
(/ 32400 (pow x 7))
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7))
(cos x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8))))))
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7)))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/645120 binary64) (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 #s(literal 1/2 binary64) x))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1/18 (pow x 2)))
(fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(* 4/9 x)
(*.f64 #s(literal 4/9 binary64) x)
(* x (+ 4/9 (* -1/324 (pow x 4))))
(fma.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x))
(* x (+ 4/9 (* (pow x 4) (- (* -1/1620 (pow x 2)) 1/324))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x))
(* x (+ 4/9 (* (pow x 4) (- (* (pow x 2) (- (* -1/32400 (pow x 2)) 1/1620)) 1/324))))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/32400 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x) #s(literal 1/324 binary64)) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 4/9 binary64) x))
(* -2/3 x)
(*.f64 #s(literal -2/3 binary64) x)
(* x (- (* 1/18 (pow x 2)) 2/3))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) x)
(* x (- (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))) 2/3))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) x)
8/27
#s(literal 8/27 binary64)
(+ 8/27 (* 1/5832 (pow x 6)))
(fma.f64 #s(literal 1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* 1/19440 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/19440 binary64) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
(+ 8/27 (* (pow x 6) (+ 1/5832 (* (pow x 2) (+ 1/19440 (* 1/194400 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/194400 binary64) (*.f64 x x) #s(literal 1/19440 binary64)) (*.f64 x x) #s(literal 1/5832 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64))
x
(* 4/3 (pow x 2))
(*.f64 #s(literal 4/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 4/3 (* -1/9 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* 1/270 (pow x 2)) 1/9))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/270 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x) x)
(* (pow x 2) (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/270 (* -1/15120 (pow x 2)))) 1/9))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/15120 binary64) (-.f64 (*.f64 #s(literal 1/270 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (*.f64 x x) #s(literal 4/3 binary64)) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/40320 binary64) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/30240 binary64) (-.f64 (*.f64 #s(literal 1/540 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))
(* 1/4 (pow x 2))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/80640 binary64) (-.f64 (*.f64 #s(literal 1/1440 binary64) (*.f64 x x)) #s(literal 1/48 binary64))) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)
(* 9/4 x)
(*.f64 #s(literal 9/4 binary64) x)
(* x (+ 9/4 (* 3/16 (pow x 2))))
(*.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal 9/4 binary64)) x)
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* 3/160 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/160 binary64) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)
(* x (+ 9/4 (* (pow x 2) (+ 3/16 (* (pow x 2) (+ 3/160 (* -1/768 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* -1 (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal -1/180 binary64)))
(* (pow x 4) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(* 1/180 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1/32400 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/32400 binary64))
(* -1 (* (pow x 9) (+ 1/32400 (* 1/1620 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64)) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* -1 (/ (+ 1/1620 (* 1/324 (/ 1 (pow x 2)))) (pow x 2))) 1/32400))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/324 binary64) (*.f64 x x)) #s(literal -1/1620 binary64)) (*.f64 x x)) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (* 4/9 (/ 1 (pow x 8))) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/32400 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/324 binary64) (*.f64 x x)) #s(literal 1/1620 binary64)) x) x)) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 5) (- (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (/ 2/3 (pow x 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 1/5832000 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/5832000 binary64))
(* (pow x 12) (+ 1/5832000 (* 1/194400 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (* 1/194400 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64))) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 1/5832000 (+ (/ 1/19440 (pow x 4)) (+ (* 1/194400 (/ 1 (pow x 2))) (* 1/5832 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/19440 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/194400 binary64) (*.f64 x x)) #s(literal 1/5832000 binary64))) (/.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 12 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 8/3 (- 1 (cos x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
(/ 32400 (pow x 7))
(/.f64 #s(literal 32400 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- 32400 (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (-.f64 #s(literal 32400 binary64) (/.f64 #s(literal 648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (* 648000 (/ 1 (pow x 2)))) (pow x 7))
(/.f64 (-.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ 32400 (/ 13608000 (pow x 4))) (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6))))) (pow x 7))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x)) #s(literal 1/180 binary64)))
(* -1 (* (pow x 9) (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal -1/32400 binary64))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (+ 1/32400 (+ (/ 1/324 (pow x 4)) (* 1/1620 (/ 1 (pow x 2))))) (* 4/9 (/ 1 (pow x 8))))))
(*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/1620 binary64) (*.f64 x x)) #s(literal 1/32400 binary64))) (/.f64 #s(literal 4/9 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 5) (- (/ 2/3 (pow x 4)) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) 32400) (pow x 7)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- (* 648000 (/ 1 (pow x 2))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 648000 binary64) (*.f64 x x)) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 7 binary64))))
(* -1 (/ (- (+ (* 648000 (/ 1 (pow x 2))) (* 246240000 (/ 1 (pow x 6)))) (+ 32400 (/ 13608000 (pow x 4)))) (pow x 7)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 246240000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 13608000 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -648000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))

rewrite189.0ms (3.1%)

Memory
41.7MiB live, 268.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068368
0103355
1330347
21984344
08301337
Stop Event
iter limit
node limit
iter limit
Counts
23 → 366
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 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 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x)))
#s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64))))
#s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 x)
(*.f64 #s(literal 4/9 binary64) x)
(/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.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 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.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)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(neg.f64 (/.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)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 8/3 binary64))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))
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(*.f64 #s(literal 4/9 binary64) x)
(*.f64 x #s(literal 4/9 binary64))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64)) #s(literal 16/81 binary64))) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 4/9 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 3 binary64)) #s(literal 64/729 binary64))) (+.f64 (-.f64 #s(literal 16/81 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))))
(*.f64 x (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))))
(/.f64 x (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/180 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) x))) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) #s(literal 4/9 binary64)))))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (cos.f64 x))
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))

eval137.0ms (2.2%)

Memory
-30.7MiB live, 182.5MiB allocated
Compiler

Compiled 20 207 to 2 257 computations (88.8% saved)

prune37.0ms (0.6%)

Memory
-8.1MiB live, 67.8MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New45913472
Fresh14418
Picked325
Done246
Total47823501
Accuracy
100.0%
Counts
501 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
47.8%
(/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
77.1%
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
53.7%
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
53.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
28.0%
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
77.0%
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
53.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -4/3 binary64))
70.0%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
53.7%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
99.3%
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
27.9%
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
99.4%
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
48.6%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))
50.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))))
49.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
48.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x))) (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) #s(literal 2 binary64)))))
49.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(approx (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 4/9 binary64)))))
49.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x))))
49.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x))))
49.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 2 344 to 800 computations (65.9% saved)

regimes34.0ms (0.6%)

Memory
16.8MiB live, 54.5MiB allocated
Counts
56 → 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 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) 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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(approx (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 4/9 binary64)))))
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
(*.f64 #s(approx (* (/ 8/3 (sin x)) (sin (* x 1/2))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 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 8/3 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (pow (sin (* 1/2 x)) 2) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(*.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/324 binary64) #s(literal 4/9 binary64)) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (+ (* 1/180 (* x x)) 1/18) (* x x)) 2/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) x) x)) (*.f64 x x)) #s(literal 1/180 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 x (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x))) (-.f64 #s(literal 4/9 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x))) #s(literal -4/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)))
(*.f64 (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64))))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (-.f64 #s(literal 4/9 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) x) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 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 8/3 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (sin.f64 x))
(/.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 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/18 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64)) #s(literal 2/3 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 #s(literal 2/3 binary64) x)) #s(literal 4/9 binary64)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 8/3 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (*.f64 #s(literal 8/3 binary64) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (acos.f64 (cos.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 (pow.f64 (+.f64 (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
Outputs
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)))
Calls

2 calls:

16.0ms
x
15.0ms
(/.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
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 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
9 → 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 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) 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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) (-.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/768 binary64) (*.f64 x x) #s(literal 3/160 binary64)) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal 9/4 binary64)) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) x) #s(approx (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x)) (*.f64 #s(literal -2/3 binary64) x)) #s(literal 4/9 binary64)))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))))
Calls

2 calls:

3.0ms
(/.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))
3.0ms
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 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory
-30.2MiB live, 13.4MiB allocated
Counts
5 → 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 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
Calls

2 calls:

5.0ms
(/.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
49.8%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 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

Counts
3 → 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 #s(approx (+ (* (pow (+ (* (* x x) 1/180) 1/18) 3) (pow x 6)) 8/27) #s(literal 8/27 binary64)) #s(approx (/ x (+ (* (* (+ (* (* x x) 1/180) 1/18) x) (- (* (pow x 3) (+ (* (* x x) 1/180) 1/18)) (* 2/3 x))) 4/9)) (*.f64 #s(literal 9/4 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
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
49.8%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 17 to 12 computations (29.4% saved)

simplify50.0ms (0.8%)

Memory
4.7MiB live, 42.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054145
1104145
2277142
3974142
43078142
55921142
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) 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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
#s(approx (/ (* (- 1 (cos (* 1 x))) 8/3) (* 2 (sin x))) (*.f64 (tan.f64 (*.f64 #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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) 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 #s(approx (* (- 4/9 (* (pow (+ (* (* x x) 1/180) 1/18) 2) (pow x 4))) x) (*.f64 #s(literal 4/9 binary64) x)) #s(approx (- 2/3 (* (* (+ (* (* x x) 1/180) 1/18) x) x)) #s(literal 2/3 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness891.0ms (14.6%)

Memory
-6.0MiB live, 610.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0300993
1995987
23056982
37418982
08057927
090225
1292225
2833219
33515219
08076201
039182
061173
1150173
2582173
35387173
08106173
03721122
112021122
235531111
378651111
082771047
01134
01934
12928
28128
036028
Stop Event
fuel
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 396 to 186 computations (53% saved)

preprocess43.0ms (0.7%)

Memory
12.5MiB live, 81.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 410 to 192 computations (53.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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