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

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.1MiB allocated

analyze307.0ms (3.7%)

Memory
29.3MiB live, 402.9MiB 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)

sample2.0s (24.1%)

Memory
45.9MiB live, 1 690.4MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sin: 847.0ms (61.1% of total)
ival-mult: 261.0ms (18.8% of total)
ival-div: 258.0ms (18.6% of total)
exact: 11.0ms (0.8% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain198.0ms (2.4%)

Memory
-10.7MiB live, 414.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-1(-1.49859300887308e-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))))
0127(-1.0950203512807552e+132)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)))sensitivity1270
/.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/n640
(*.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))))underflow64
Confusion
Predicted +Predicted -
+641
-12764
Precision
0.33507853403141363
Recall
0.9846153846153847
Confusion?
Predicted +Predicted MaybePredicted -
+6401
-127064
Precision?
0.33507853403141363
Recall?
0.9846153846153847
Freqs
test
numberfreq
065
1191
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms512×0valid
Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-sin: 45.0ms (70.3% of total)
ival-mult: 10.0ms (15.6% of total)
ival-div: 8.0ms (12.5% of total)
exact: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess135.0ms (1.6%)

Memory
41.5MiB live, 178.4MiB 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, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.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)

simplify124.0ms (1.5%)

Memory
-2.4MiB live, 142.8MiB 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)

localize67.0ms (0.8%)

Memory
-24.3MiB live, 74.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.213222509768442
(*.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))))
accuracy0.36328125
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy15.173266711971827
(/.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
49.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (57.1% of total)
ival-div: 4.0ms (20.8% of total)
ival-mult: 4.0ms (20.8% 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
10.8MiB live, 10.8MiB 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))
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
@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))

simplify142.0ms (1.7%)

Memory
15.1MiB live, 202.6MiB 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)

rewrite51.0ms (0.6%)

Memory
-13.2MiB live, 78.5MiB 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))))

eval10.0ms (0.1%)

Memory
-12.3MiB live, 32.0MiB allocated
Compiler

Compiled 1 133 to 229 computations (79.8% saved)

prune16.0ms (0.2%)

Memory
-6.1MiB live, 42.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New471360
Fresh000
Picked101
Done000
Total481361
Accuracy
99.6%
Counts
61 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.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))
76.0%
(/.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))
76.0%
(/.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))
27.9%
(/.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))
26.7%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x))
28.4%
(/.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))
75.9%
(*.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)))
76.0%
(*.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))
99.2%
(*.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)))
99.1%
(*.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)))
50.7%
#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))
50.8%
#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))
51.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 488 to 356 computations (27% saved)

simplify399.0ms (4.9%)

Memory
-4.7MiB live, 299.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
cost-diff3
(*.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)))
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)) (sin.f64 x))
cost-diff0
(*.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))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
cost-diff0
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
cost-diff0
(/.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))
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
032189
048174
182174
2118174
3196174
4332174
5565174
61086174
72166174
85011174
08147174
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
(/.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))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/3 binary64)
(sin.f64 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)) (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)
(sin.f64 x)
#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 (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 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.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
(/.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))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 2/3 binary64)
(sin.f64 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 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)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))
(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)
(sin.f64 x)
#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 #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)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 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
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
#s(literal 8/3 binary64)
(sin.f64 x)

localize109.0ms (1.3%)

Memory
33.6MiB live, 261.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.33431625976844204
(*.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)))
accuracy0.35546875
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
accuracy0.41796875
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
accuracy0.00390625
(sin.f64 x)
accuracy0.234375
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.3515625
(*.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))
accuracy15.153985817419333
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
accuracy0.00390625
(sin.f64 x)
accuracy0.15234375
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
accuracy15.173266711971827
(/.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))
accuracy30.811310226539796
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
accuracy0.34375
(*.f64 #s(literal 2/3 binary64) x)
accuracy31.190158083980982
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy0.00390625
(sin.f64 x)
accuracy0.16015625
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.170253759768442
(*.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)))
accuracy0.36328125
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
Samples
89.0ms256×0valid
Compiler

Compiled 181 to 30 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 29.0ms (41.6% of total)
ival-sin: 21.0ms (30.1% of total)
ival-div: 10.0ms (14.3% of total)
const: 7.0ms (10% of total)
ival-pow2: 2.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-23.8MiB live, 30.5MiB allocated
Counts
18 → 51
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)
(/.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))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 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)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.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 (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))))
(pow x 2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (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))))
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)))))))
(* 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 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))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(pow (sin (* 1/2 x)) 2)
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(sin x)
(/ 8/3 (sin x))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (* (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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (* (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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (/ (pow (sin (* 1/2 x)) 2) (sin x)) 8/3) (/ (pow (sin (* 1/2 x)) 2) (sin x)) (pow (sin (* 1/2 x)) 2) (* (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (sin (* 1/2 x))) (* (sin (* 1/2 x)) (/ 8/3 (sin x))) (* (sin (* 1/2 x)) 8/3) (sin x) (/ 8/3 (sin x)))

simplify147.0ms (1.8%)

Memory
-8.9MiB live, 222.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194547
1682547
22083541
35365535
08746485
Stop Event
iter limit
node limit
Counts
51 → 50
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 (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))))
(pow x 2)
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (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))))
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)))))))
(* 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 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))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(/ (pow (sin (* 1/2 x)) 2) (sin x))
(pow (sin (* 1/2 x)) 2)
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(sin x)
(/ 8/3 (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)
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 (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))
(pow x 2)
(*.f64 x x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/4 (pow x 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) 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))
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))
(* 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 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(fma.f64 #s(literal 4/9 binary64) x (/.f64 #s(literal 8/3 binary64) x))
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) x (/.f64 #s(literal 8/3 binary64) x))
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(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)) x (/.f64 #s(literal 8/3 binary64) x))
(* 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))
(/ (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))
(* 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) (sin x))
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 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 (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))

rewrite60.0ms (0.7%)

Memory
12.7MiB live, 100.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032155
048140
1101140
2229140
0924140
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
18 → 234
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)
(/.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))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 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)) (sin.f64 x))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.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 (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 (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 (neg.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 (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 (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 #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 (/.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)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
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(/.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (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 (sin.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.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 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)) (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cosh.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.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)))
(fabs.f64 (pow.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)))
(+.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
(+.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) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.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 (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 (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 (neg.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 (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 (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 #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 (/.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)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 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 (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 (cos.f64 #s(literal 0 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 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #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)))) (*.f64 (neg.f64 (sin.f64 x)) #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)))) (*.f64 (sin.f64 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)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 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 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) #s(literal 8/3 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 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (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)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.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))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))))
(neg.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x))))
(neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.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)))
(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)
(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 #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)))

eval122.0ms (1.5%)

Memory
22.3MiB live, 132.2MiB allocated
Compiler

Compiled 7 207 to 1 108 computations (84.6% saved)

prune36.0ms (0.4%)

Memory
6.7MiB live, 96.4MiB allocated
Pruning

29 alts after pruning (25 fresh and 4 done)

PrunedKeptTotal
New34819367
Fresh268
Picked145
Done000
Total35129380
Accuracy
99.8%
Counts
380 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.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))
52.3%
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
52.2%
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
76.0%
(/.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))
27.9%
(/.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))
28.4%
(/.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))
27.3%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
75.9%
(*.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)))
50.4%
(*.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)) (sin.f64 x)) #s(literal 8/3 binary64))
73.6%
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
76.0%
(*.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))
51.9%
(*.f64 (/.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
52.3%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
52.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
27.1%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 8/3 binary64)))
73.8%
(*.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))))))
51.1%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
48.8%
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
28.4%
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
52.1%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
99.2%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
73.6%
(*.f64 (*.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)) #s(literal 8/3 binary64)))
6.2%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.1%
(*.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)))
50.8%
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
55.4%
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
50.7%
#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))
50.8%
#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))
51.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 015 to 746 computations (26.5% saved)

simplify241.0ms (2.9%)

Memory
-14.4MiB live, 173.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
cost-diff2
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
cost-diff3
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
cost-diff0
(/.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))
cost-diff2
(*.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))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
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 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
cost-diff2
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042257
065248
1110248
2187238
3416238
4980238
51548238
62178238
73274238
85848238
08680238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(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)
#s(literal 8/3 binary64)
(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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.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 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 8/3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(sin.f64 x)
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(sin.f64 x)
(*.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 #s(literal 1/2 binary64) x)
#s(literal 8/3 binary64)
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 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)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 8/3 binary64)
(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 (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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(*.f64 (/.f64 #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
#s(literal 4/3 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 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)))
(*.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))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)) #s(literal 8/3 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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 8/3 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)
(sin.f64 x)
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (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 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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)
x
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(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)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 8/3 binary64)

localize183.0ms (2.2%)

Memory
27.8MiB live, 207.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
accuracy0.07421875
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
accuracy0.2734375
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
accuracy0.42416000976844204
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
accuracy0.00390625
(sin.f64 x)
accuracy0.13119125976844204
(*.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))))
accuracy0.2734375
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
accuracy15.083422961971827
(/.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))
accuracy0.0546875
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
accuracy0.07421875
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.2734375
(*.f64 #s(literal 4/3 binary64) x)
accuracy15.061466300923302
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.0546875
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy0.20703125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy15.40475899794387
#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))
accuracy0.00390625
(sin.f64 x)
accuracy0.07421875
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy0.08984375
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
accuracy0.24447250976844204
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Samples
115.0ms191×0valid
31.0ms65×0invalid
Compiler

Compiled 246 to 37 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult: 49.0ms (40.8% of total)
ival-div: 37.0ms (30.8% of total)
ival-sin: 17.0ms (14.1% of total)
const: 12.0ms (10% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-pow2: 2.0ms (1.7% of total)
ival-add: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-40.9MiB live, 23.0MiB allocated
Counts
22 → 47
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 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))
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.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))))
(/.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 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)))
(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))))
(* (sqrt x) (sqrt 1/2))
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 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))
(* 1/18 (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 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sqrt (sin (* 1/2 x)))
(sin x)
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* 1/2 x))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 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) (* (/ (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) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (pow (sqrt (sin (* x 1/2))) 2) (* (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (sqrt (sin (* x 1/2))) (sin x) (* (sin (* 1/2 x)) 8/3) (* 4/3 x))
3.0ms
x
@-inf
((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* 1/2 x))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 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) (* (/ (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) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (pow (sqrt (sin (* x 1/2))) 2) (* (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (sqrt (sin (* x 1/2))) (sin x) (* (sin (* 1/2 x)) 8/3) (* 4/3 x))
2.0ms
x
@0
((* (* (/ (sin (* x 1/2)) (sin x)) 8/3) (sin (* 1/2 x))) (* (/ (sin (* x 1/2)) (sin x)) 8/3) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 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) (* (/ (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) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (sin (* 1/2 x)) 8/3) (pow (sqrt (sin (* x 1/2))) 2) (* (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (pow (sqrt (sin (* x 1/2))) 2) (sin x)) (sqrt (sin (* x 1/2))) (sin x) (* (sin (* 1/2 x)) 8/3) (* 4/3 x))

simplify249.0ms (3%)

Memory
-14.7MiB live, 230.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182521
1611502
21980493
35137488
08160446
Stop Event
iter limit
node limit
Counts
47 → 46
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)))
(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))))
(* (sqrt x) (sqrt 1/2))
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 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))
(* 1/18 (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 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sqrt (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)
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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.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))
(* 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))
(* (sqrt x) (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x))
(+ (* -1/96 (* (sqrt (pow x 5)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2)))
(fma.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* 1/7680 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/7680 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/96 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt 1/2)) (* (pow x 3) (+ (* -1/96 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/18432 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/7680 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/96 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/46080 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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))) (pow.f64 x #s(literal 3 binary64)) x)
(* 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))
(* 1/18 (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 (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 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sqrt (sin (* 1/2 x)))
(sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin x)
(sin.f64 x)

rewrite194.0ms (2.4%)

Memory
9.4MiB live, 240.5MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042191
065149
1144146
2462146
3301287
0881887
Stop Event
iter limit
node limit
iter limit
Counts
22 → 308
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 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))
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.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))))
(/.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x))
(sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
Outputs
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x) (*.f64 (sin.f64 x) (sinh.f64 (log.f64 #s(literal 0 binary64))))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x) (*.f64 (sin.f64 x) (sinh.f64 (log.f64 #s(literal 0 binary64))))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x) (*.f64 (sin.f64 x) (sinh.f64 (log.f64 #s(literal 0 binary64))))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
(neg.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (cosh.f64 (log.f64 #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (sinh.f64 (log.f64 #s(literal 0 binary64)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)) (/.f64 (sinh.f64 (log.f64 #s(literal 0 binary64))) (sin.f64 x)))
#s(literal 0 binary64)
#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 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64) (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) x) (neg.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8/27 binary64)) x) (neg.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64))) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -8/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/5832 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8/27 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/5832 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))) x (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64) (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 x x) (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
(fma.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/18 binary64) x) (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 x (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))) (*.f64 x (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(fma.f64 x (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 x #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal -2/3 binary64) x))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))) x) (*.f64 (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))) x))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))) (*.f64 x (/.f64 #s(literal 8/27 binary64) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)) (*.f64 #s(literal 2/3 binary64) x))
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8/27 binary64))) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64))) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
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(sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(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))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(sin.f64 (+.f64 (PI.f64) x))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 x)
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(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 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(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 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 #s(literal -1 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x))
(*.f64 #s(literal 4/3 binary64) x)
(*.f64 x #s(literal 4/3 binary64))

eval61.0ms (0.7%)

Memory
8.4MiB live, 193.8MiB allocated
Compiler

Compiled 11 275 to 1 367 computations (87.9% saved)

prune65.0ms (0.8%)

Memory
-5.5MiB live, 101.7MiB allocated
Pruning

37 alts after pruning (28 fresh and 9 done)

PrunedKeptTotal
New4009409
Fresh11920
Picked055
Done044
Total40137438
Accuracy
100.0%
Counts
438 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(/.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))
52.3%
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
52.2%
(/.f64 (*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
76.0%
(/.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))
27.9%
(/.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))
28.4%
(/.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))
27.3%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
4.3%
(/.f64 #s(literal 0 binary64) (sin.f64 x))
75.9%
(*.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)))
50.4%
(*.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)) (sin.f64 x)) #s(literal 8/3 binary64))
73.6%
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
76.0%
(*.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))
51.9%
(*.f64 (/.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
52.3%
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
52.3%
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
27.1%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 8/3 binary64)))
73.8%
(*.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))))))
51.1%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)))
48.8%
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
28.4%
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
52.1%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
99.2%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
73.6%
(*.f64 (*.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)) #s(literal 8/3 binary64)))
6.2%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.1%
(*.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)))
50.8%
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
55.4%
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
50.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
50.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
50.7%
#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))
50.8%
#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))
50.7%
#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))
50.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64) (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))))
50.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
51.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 419 to 1 020 computations (28.1% saved)

simplify206.0ms (2.5%)

Memory
-4.7MiB live, 235.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
cost-diff2
(*.f64 #s(literal 1 binary64) x)
cost-diff2
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
cost-diff4
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
cost-diff0
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff1
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff2
(*.f64 #s(literal 1 binary64) x)
cost-diff2
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
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 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
cost-diff1
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 #s(literal -1/18 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 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)) #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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042242
066204
1113204
2238202
3579200
41303200
52363200
64699200
08150195
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
(*.f64 #s(literal -1/18 binary64) x)
#s(literal -1/18 binary64)
x
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/18 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sin.f64 x)
#s(literal 8/3 binary64)
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(sin.f64 x)
x
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 8/3 binary64)
Outputs
(/.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 #s(literal 8/3 binary64) (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)
#s(literal 8/3 binary64)
(sin.f64 x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal 2/3 binary64) x)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal 2/3 binary64) x))
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
(*.f64 #s(literal -1/18 binary64) x)
#s(literal -1/18 binary64)
x
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal 2/3 binary64) x)))
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/18 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 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))) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
x
(sin.f64 x)
#s(literal 8/3 binary64)
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(sin.f64 x)
x
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 x) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) x))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
#s(literal 8/3 binary64)

localize648.0ms (7.9%)

Memory
33.0MiB live, 405.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
accuracy0.14453125
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy0.3515625
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
accuracy30.62402345911322
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
accuracy0.00390625
(sin.f64 x)
accuracy0.3515625
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
accuracy15.153985817419333
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
accuracy15.239189714330436
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy0.00390625
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
accuracy0.125
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
accuracy0.34375
(*.f64 #s(literal 2/3 binary64) x)
accuracy31.383497471653804
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
accuracy0.07421875
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
accuracy0.21875
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
accuracy0.38671875
(*.f64 #s(literal -1/18 binary64) x)
accuracy31.383497471653804
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
accuracy0.00390625
(sin.f64 x)
accuracy0.234375
(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))
accuracy15.173266711971827
(/.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))
Samples
429.0ms63×1valid
110.0ms63×2valid
76.0ms130×0valid
Compiler

Compiled 231 to 42 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 422.0ms
ival-sin: 207.0ms (49.1% of total)
const: 68.0ms (16.1% of total)
ival-mult: 47.0ms (11.1% of total)
ival-div: 32.0ms (7.6% of total)
ival-cos: 25.0ms (5.9% of total)
ival-add: 20.0ms (4.7% of total)
adjust: 10.0ms (2.4% of total)
ival-sub: 5.0ms (1.2% of total)
ival-pow2: 4.0ms (0.9% of total)
ival-pow: 3.0ms (0.7% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-0.6MiB live, 43.0MiB allocated
Counts
21 → 53
Calls
Call 1
Inputs
(/.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
(*.f64 #s(literal -1/18 binary64) x)
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(sin.f64 x)
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) 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))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 1/2 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))))
(* x (+ 2/3 (* -1/18 (pow x 2))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(* -1/18 x)
(* 1/18 (pow x 3))
x
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (+ 1/2 (* -1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* -1/90 (pow x 2)) 1/6))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/945 (pow x 2)) 1/90)) 1/6))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin (* 1/2 x))
(* -1/18 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))
(- 1/2 (* 1/2 (cos x)))
(/ (- 1/2 (* 1/2 (cos x))) (sin x))
(- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x))))
(* 8/3 (- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x)))))
(/ 1/2 (sin x))
(sin x)
(* 1/2 (/ (cos x) (sin x)))
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
x
@inf
((/ (* (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 (* 1/2 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* -1/18 x) x) 2/3) x) (+ (* (* -1/18 x) x) 2/3) (* -1/18 x) (- (* 2/3 x) (* (pow x 3) 1/18)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (pow x 3) 1/18) (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) (* 1 x) (- 1/2 (* (cos (* 1 x)) 1/2)) (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) (* (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) 8/3) (/ 1/2 (sin x)) (sin x) (/ (* (cos (* 1 x)) 1/2) (sin x)))
6.0ms
x
@-inf
((/ (* (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 (* 1/2 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* -1/18 x) x) 2/3) x) (+ (* (* -1/18 x) x) 2/3) (* -1/18 x) (- (* 2/3 x) (* (pow x 3) 1/18)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (pow x 3) 1/18) (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) (* 1 x) (- 1/2 (* (cos (* 1 x)) 1/2)) (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) (* (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) 8/3) (/ 1/2 (sin x)) (sin x) (/ (* (cos (* 1 x)) 1/2) (sin x)))
5.0ms
x
@0
((/ (* (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 (* 1/2 x)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* -1/18 x) x) 2/3) x) (+ (* (* -1/18 x) x) 2/3) (* -1/18 x) (- (* 2/3 x) (* (pow x 3) 1/18)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (* (pow x 3) 1/18) (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) (* 1 x) (- 1/2 (* (cos (* 1 x)) 1/2)) (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) (* (- (/ 1/2 (sin x)) (/ (* (cos (* 1 x)) 1/2) (sin x))) 8/3) (/ 1/2 (sin x)) (sin x) (/ (* (cos (* 1 x)) 1/2) (sin x)))

simplify136.0ms (1.7%)

Memory
15.5MiB live, 203.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189552
1614546
21793546
34978545
08137501
Stop Event
iter limit
node limit
Counts
53 → 52
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))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 1/2 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))))
(* x (+ 2/3 (* -1/18 (pow x 2))))
2/3
(+ 2/3 (* -1/18 (pow x 2)))
(* -1/18 x)
(* 1/18 (pow x 3))
x
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(/ (+ 1/2 (* -1/6 (pow x 2))) x)
(/ (+ 1/2 (* (pow x 2) (- (* -1/90 (pow x 2)) 1/6))) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/945 (pow x 2)) 1/90)) 1/6))) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin (* 1/2 x))
(* -1/18 (pow x 3))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* -1/18 (pow x 2))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))
(- 1/2 (* 1/2 (cos x)))
(/ (- 1/2 (* 1/2 (cos x))) (sin x))
(- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x))))
(* 8/3 (- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x)))))
(/ 1/2 (sin x))
(sin x)
(* 1/2 (/ (cos x) (sin x)))
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))
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))
(* 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))
(* 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))
(* x (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 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))
(* -1/18 x)
(*.f64 #s(literal -1/18 binary64) x)
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
x
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/12 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* 7/720 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 7/720 (* 31/30240 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (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))) (pow.f64 x #s(literal 3 binary64)) x)
(/ (+ 1/2 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* -1/90 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/90 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/945 (pow x 2)) 1/90)) 1/6))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/945 binary64) (*.f64 x x)) #s(literal 1/90 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/2 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))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* -1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))
(* (pow x 3) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/18 (pow x 2))
(*.f64 #s(literal -1/18 binary64) (*.f64 x x))
(* (pow x 2) (- (* 2/3 (/ 1 (pow x 2))) 1/18))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)
(* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(- 1/2 (* 1/2 (cos x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(/ (- 1/2 (* 1/2 (cos x))) (sin x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(* 8/3 (- (* 1/2 (/ 1 (sin x))) (* 1/2 (/ (cos x) (sin x)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/ 1/2 (sin x))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(sin x)
(sin.f64 x)
(* 1/2 (/ (cos x) (sin x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (cos.f64 x))
(* -1 (* (pow x 3) (- 1/18 (* 2/3 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite324.0ms (3.9%)

Memory
-50.8MiB live, 312.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042190
066164
1198164
21093164
08263157
Stop Event
iter limit
node limit
iter limit
Counts
21 → 521
Calls
Call 1
Inputs
(/.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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64))
(*.f64 #s(literal -1/18 binary64) x)
(-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(sin.f64 x)
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))
Outputs
(*.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 (/.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 (*.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 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 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 #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 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (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 (*.f64 #s(literal -8/3 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal -8/3 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (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 #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 #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 #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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (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)) #s(literal 8/3 binary64))
(*.f64 (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (fma.f64 x #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.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 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (cos.f64 x))))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal -8/3 binary64)) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)))) #s(literal 8/3 binary64)) (*.f64 (neg.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -8/3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 8/3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal -8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal -8/3 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (cos.f64 x))) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (cos.f64 x) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sin.f64 x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(sin.f64 x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (neg.f64 (sin.f64 x))))

eval106.0ms (1.3%)

Memory
28.4MiB live, 211.7MiB allocated
Compiler

Compiled 14 734 to 1 848 computations (87.5% saved)

prune51.0ms (0.6%)

Memory
-12.8MiB live, 180.5MiB allocated
Pruning

40 alts after pruning (30 fresh and 10 done)

PrunedKeptTotal
New45618474
Fresh111223
Picked325
Done189
Total47140511
Accuracy
100.0%
Counts
511 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
50.4%
(/.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))
76.0%
(/.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))
50.0%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
51.9%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
76.0%
(/.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))
28.4%
(/.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))
27.3%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
4.3%
(/.f64 #s(literal 0 binary64) (sin.f64 x))
52.3%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
75.9%
(*.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)))
50.4%
(*.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 8/3 binary64))
52.3%
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
73.6%
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
76.0%
(*.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))
73.8%
(*.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))))))
48.8%
(*.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
28.4%
(*.f64 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 x)) #s(literal 8/3 binary64))
51.7%
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
52.1%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
4.7%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
51.8%
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))) #s(literal 8/3 binary64))
99.2%
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
6.2%
(*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
99.1%
(*.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)))
50.8%
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
55.4%
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
50.7%
#s(approx (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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))
26.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
50.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
50.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 binary64)))))
50.8%
#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))
50.7%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) x) x #s(literal 2/3 binary64)) x))
50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
49.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64) (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))))
50.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
25.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
3.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
51.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
3.8%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
Compiler

Compiled 2 189 to 949 computations (56.6% saved)

regimes35.0ms (0.4%)

Memory
9.5MiB live, 100.7MiB allocated
Counts
60 → 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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) 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 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 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 (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 (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 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (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 (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (PI.f64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.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 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 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 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.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)) (sin.f64 x)) #s(literal 8/3 binary64))
(/.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 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (*.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)) #s(literal 8/3 binary64)))
(*.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 (-.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (fma.f64 (sin.f64 x) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) x) (fma.f64 #s(literal 1/34012224 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/104976 binary64) (*.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64)))))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))) #s(literal 8/3 binary64))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.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 8/3 binary64)))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
Calls

2 calls:

16.0ms
x
16.0ms
(/.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
99.2%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))
99.2%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes33.0ms (0.4%)

Memory
-12.4MiB live, 50.0MiB allocated
Counts
37 → 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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) 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 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 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 (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 (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 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

22.0ms
x
9.0ms
(/.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
99.2%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))
99.2%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes22.0ms (0.3%)

Memory
11.6MiB live, 59.1MiB allocated
Counts
36 → 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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) 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 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 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 (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 (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 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Outputs
(*.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)))
Calls

2 calls:

11.0ms
(/.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))
9.0ms
x
Results
AccuracySegmentsBranch
99.1%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))
99.1%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes27.0ms (0.3%)

Memory
6.1MiB live, 52.6MiB allocated
Counts
35 → 2
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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) 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 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 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 (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 (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 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 x)))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 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))
Calls

2 calls:

17.0ms
x
8.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.4%3(/.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))
99.4%2x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory
-20.4MiB live, 25.3MiB allocated
Counts
30 → 2
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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) 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 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(approx (* (sin (* 1/2 x)) 8/3) (*.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 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal -1/5832 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/27 binary64) (*.f64 x x) #s(literal 4/9 binary64))))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.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))) (sin.f64 x))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.2%)

Memory
-14.1MiB live, 36.8MiB allocated
Counts
22 → 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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(approx (* (/ (sin (* x 1/2)) (sin x)) 8/3) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 0 binary64) (sin.f64 x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 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 (/.f64 #s(approx (pow (sin (* 1/2 x)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (sin.f64 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))) #s(approx (sin x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) 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 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) #s(approx (/ (* (cos (* 1 x)) 1/2) (sin x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 8/3 binary64))
Outputs
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Calls

2 calls:

10.0ms
(/.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))
6.0ms
x
Results
AccuracySegmentsBranch
55.4%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))
55.4%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated
Accuracy

Total -31.7b remaining (-101.2%)

Threshold costs -31.7b (-101.2%)

Counts
12 → 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 (+ (* (* -1/18 x) x) 2/3) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) 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 (*.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 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (/ (pow (sin (* 1/2 x)) 2) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 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 (/ (* (pow (sin (* 1/2 x)) 2) 8/3) (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 (+ (* (* -1/18 x) x) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) x) x)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) x) x) (*.f64 #s(literal 2/3 binary64) x))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* -1/18 x) x) 2/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/18 binary64))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Calls

2 calls:

4.0ms
x
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))
Results
AccuracySegmentsBranch
51.0%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))
51.0%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch5.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
1.867578128518894e-17
1.7831340491944405e-16
Samples
3.0ms32×0valid
Compiler

Compiled 109 to 89 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sin: 1.0ms (58.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-3.5MiB live, 41.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
0.0004075034930177021
474.3173984039798
Samples
10.0ms144×0valid
Compiler

Compiled 397 to 321 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (41.8% of total)
ival-div: 2.0ms (27.9% of total)
ival-mult: 2.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify60.0ms (0.7%)

Memory
20.7MiB live, 107.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069167
187167
2109167
3154167
4258167
5492167
61167167
74867167
Stop Event
node 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 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 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)))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
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 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 x #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4/9 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 2/3 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)))
(if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/324 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4/9 binary64)) x) (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))) (*.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64)))
(*.f64 #s(approx (* (sin (* 1/2 x)) (/ 8/3 (sin x))) #s(literal 4/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness933.0ms (11.4%)

Memory
-40.7MiB live, 681.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090225
1292225
2833219
33515219
08076201
032155
048140
1101140
2229140
0924140
0194547
1682547
22083541
35365535
08746485
042190
066164
1198164
21093164
08263157
042191
065149
1144146
2462146
3301287
0881887
01134
01934
12928
28128
036028
Stop Event
fuel
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 650 to 287 computations (55.8% saved)

preprocess591.0ms (7.2%)

Memory
25.6MiB live, 220.6MiB allocated
Compiler

Compiled 508 to 260 computations (48.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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