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

Time bar (total: 11.0s)

analyze183.0ms (1.7%)

Memory
18.3MiB live, 164.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.9s (17%)

Memory
-3.9MiB live, 1 861.5MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 723.0ms (63.9% of total)
ival-mult: 200.0ms (17.7% of total)
ival-div: 189.0ms (16.7% of total)
exact: 10.0ms (0.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess52.0ms (0.5%)

Memory
10.5MiB live, 48.8MiB allocated
Algorithm
1×egg-herbie
Rules
586×times-frac
414×associate-*r/
412×associate-*r*
284×associate-*l*
270×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs x)

explain151.0ms (1.4%)

Memory
-42.2MiB live, 339.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
460-2(1.099384771701027e-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))))
0138(5.538872904599043e+60)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)))sensitivity1380
/.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/n440
↳(*.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))))underflow44
Confusion
Predicted +Predicted -
+442
-13872
Precision
0.24175824175824176
Recall
0.9565217391304348
Confusion?
Predicted +Predicted MaybePredicted -
+4402
-138072
Precision?
0.24175824175824176
Recall?
0.9565217391304348
Freqs
test
numberfreq
074
1182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms512×0valid
Compiler

Compiled 144 to 48 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 31.0ms (64% of total)
ival-mult: 9.0ms (18.6% of total)
ival-div: 8.0ms (16.5% of total)
exact: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶83.0%
(/.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 17 to 11 computations (35.3% saved)

simplify6.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize49.0ms (0.4%)

Memory
-9.5MiB live, 104.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.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))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy83.3%
(/.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))
Samples
30.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 11.0ms (56.2% of total)
ival-div: 4.0ms (20.4% of total)
ival-mult: 4.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
5 → 48
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 8 binary64) #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (sin.f64 x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

12 calls:

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

simplify729.0ms (6.6%)

Memory
4.1MiB live, 638.4MiB allocated
Algorithm
1×egg-herbie
Rules
18 506×lower-fma.f64
18 506×lower-fma.f32
4 370×lower-+.f64
4 370×lower-+.f32
3 662×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite216.0ms (2%)

Memory
14.7MiB live, 337.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 420×lower-*.f32
2 414×lower-*.f64
2 008×lower-/.f32
2 006×lower-/.f64
534×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

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

eval80.0ms (0.7%)

Memory
-15.9MiB live, 98.8MiB allocated
Compiler

Compiled 5 289 to 750 computations (85.8% saved)

prune65.0ms (0.6%)

Memory
11.1MiB live, 174.6MiB allocated
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New30033333
Fresh000
Picked101
Done000
Total30133334
Accuracy
100.0%
Counts
334 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
99.4%
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
56.1%
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
56.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
56.2%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
55.5%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
55.9%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
83.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶56.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
31.3%
(/.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)))) #s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
99.3%
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
31.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))) (sin.f64 x))
30.0%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))) (sin.f64 x))
82.9%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
31.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sin.f64 x))
56.1%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
56.1%
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
▶56.1%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
56.1%
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
56.1%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
▶99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
82.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
56.1%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
56.2%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
56.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
▶99.3%
(*.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)))
46.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
46.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
47.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
83.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
▶47.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 960 to 662 computations (31% saved)

simplify143.0ms (1.3%)

Memory
7.0MiB live, 124.9MiB allocated
Algorithm
1×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-diff0
(*.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 x)
✓cost-diff0
(/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓cost-diff7552
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓cost-diff6848
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 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
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
✓cost-diff384
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
Rules
1 164×lower-fma.f64
1 164×lower-fma.f32
972×lower-*.f32
960×lower-*.f64
574×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033164
049162
183162
2123156
3216156
4384156
5577156
6750156
71034156
81297156
91649156
102496156
113403156
123710156
133813156
143880156
153891156
163914156
173919156
183921156
03921153
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
#s(literal 1 binary64)
(/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(sin.f64 x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 4/3 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 3/8 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
x
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)))
(sin.f64 x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(literal 4/3 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #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)

localize166.0ms (1.5%)

Memory
-4.8MiB live, 276.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(*.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)))
✓accuracy99.5%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓accuracy99.4%
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
✓accuracy99.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓accuracy83.3%
(/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
✓accuracy73.2%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.5%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓accuracy83.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy73.2%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy99.5%
(*.f64 #s(literal 2/3 binary64) x)
✓accuracy47.5%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
✓accuracy99.7%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
✓accuracy99.6%
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
Samples
57.0ms140×0valid
36.0ms56×2valid
17.0ms51×1valid
9.0ms9×3valid
Compiler

Compiled 164 to 33 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-cos: 22.0ms (24.5% of total)
ival-sin: 20.0ms (22.3% of total)
ival-div: 16.0ms (17.8% of total)
ival-mult: 14.0ms (15.6% of total)
const: 9.0ms (10% of total)
adjust: 5.0ms (5.6% of total)
ival-sub: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-6.5MiB live, 29.4MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))>
#<alt (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))>
#<alt (*.f64 #s(literal 2/3 binary64) x)>
#<alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))>
#<alt (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))>
#<alt (sin.f64 x)>
#<alt (*.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)))>
#<alt (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 8/3 binary64) (sin.f64 x))>
Outputs
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/16 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (/ (sin (* 1/2 x)) (sin x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt 4/3>
#<alt (+ 4/3 (* 1/6 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ (* (- 1 (cos x)) 4/3) (sin x))
1.0ms
x
@inf
(/ (sin x) (* (- 1 (cos x)) 4/3))
1.0ms
x
@-inf
(/ (* (- 1 (cos x)) 4/3) (sin x))
1.0ms
x
@-inf
(/ (sin x) (* (- 1 (cos x)) 4/3))
0.0ms
x
@inf
(/ (sin (* 1/2 x)) (sin x))

simplify362.0ms (3.3%)

Memory
8.0MiB live, 460.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 126×lower-fma.f64
11 126×lower-fma.f32
4 110×lower-*.f64
4 110×lower-*.f32
3 838×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231566
15861566
214211560
326151560
445741560
548551560
652731560
761571560
877081560
080771462
Stop Event
1×iter limit
1×node limit
Counts
204 → 203
Calls
Call 1
Inputs
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
1/2
(+ 1/2 (* 1/16 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(/ (sin (* 1/2 x)) (sin x))
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(sin (* 1/2 x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 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 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ 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 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
(/ 8/3 (sin x))
Outputs
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
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(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/288 binary64)) #s(literal 1/6 binary64))) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 61/34560 binary64) #s(literal 5/288 binary64)) #s(literal 1/6 binary64))) #s(literal 4/3 binary64))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/135 binary64) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 31/5670 binary64) #s(literal 7/135 binary64))) #s(literal 4/9 binary64)) #s(literal 8/3 binary64)) x)
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))

rewrite448.0ms (4.1%)

Memory
-16.7MiB live, 452.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 070×lower-*.f32
5 058×lower-*.f64
3 356×lower-/.f32
3 344×lower-/.f64
2 548×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033125
049123
1134114
2608105
34614105
010928104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 984
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
Outputs
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #s(literal -1 binary64) (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)) #s(literal -3/8 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 x) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/8 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
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(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -8/3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal -1/2 binary64)))

eval312.0ms (2.8%)

Memory
34.4MiB live, 386.9MiB allocated
Compiler

Compiled 26 407 to 2 573 computations (90.3% saved)

prune303.0ms (2.8%)

Memory
-12.5MiB live, 299.7MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1 572141 586
Fresh25328
Picked415
Done000
Total1 601181 619
Accuracy
100.0%
Counts
1 619 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
56.1%
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
98.7%
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
▶99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
82.9%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
▶99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
55.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
47.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
47.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
47.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
56.1%
(*.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
▶56.2%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
51.0%
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
▶46.9%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
46.9%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
▶47.0%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
99.5%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓47.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 423 to 293 computations (30.7% saved)

simplify416.0ms (3.8%)

Memory
0.8MiB live, 203.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff320
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓cost-diff6976
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff128
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓cost-diff256
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓cost-diff0
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓cost-diff0
(*.f64 x #s(literal 1/18 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓cost-diff0
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff256
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff512
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Rules
3 630×lower-fma.f32
3 622×lower-fma.f64
1 742×lower-*.f32
1 730×lower-*.f64
1 286×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037199
060192
1115190
2256184
3549184
41007184
51418184
62015184
72847184
83605184
94132184
104544184
114750184
124888184
134971184
145052184
155087184
165356184
176104184
186488184
196508184
206522184
216524184
226524184
236524184
246556184
256557184
266557184
06557184
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 3/4 binary64)
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
#s(literal 3/4 binary64)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin.f64 x)
#s(literal 3/8 binary64)
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 3/4 binary64)
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
#s(literal 3/4 binary64)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(sin.f64 x)
#s(literal 3/8 binary64)

localize414.0ms (3.8%)

Memory
26.0MiB live, 298.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
✓accuracy83.2%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
✓accuracy73.2%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
✓accuracy99.8%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓accuracy47.1%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
✓accuracy99.7%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
✓accuracy47.2%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Samples
150.0ms52×2valid
118.0ms140×0valid
72.0ms50×1valid
14.0ms14×3valid
Compiler

Compiled 184 to 38 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-mult: 150.0ms (45.7% of total)
ival-cos: 68.0ms (20.7% of total)
const: 41.0ms (12.5% of total)
adjust: 36.0ms (11% of total)
ival-div: 11.0ms (3.3% of total)
ival-sin: 7.0ms (2.1% of total)
ival-tan: 6.0ms (1.8% of total)
ival-add: 6.0ms (1.8% of total)
ival-sub: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series73.0ms (0.7%)

Memory
-9.6MiB live, 28.6MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))>
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt #s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))>
#<alt (*.f64 (sin.f64 x) #s(literal 3/8 binary64))>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 17/30240 (pow x 7))>
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))>
#<alt (* 17/30240 (pow x 7))>
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))>
#<alt (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))>
#<alt (* 17/30240 (pow x 6))>
#<alt (* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))>
#<alt (* 17/30240 (pow x 6))>
#<alt (* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 2/9 (pow x 2))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)>
#<alt (/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (/ 4/3 (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 1/180>
#<alt (+ 1/180 (* 17/30240 (pow x 2)))>
#<alt (+ 1/180 (* 17/30240 (pow x 2)))>
#<alt (+ 1/180 (* 17/30240 (pow x 2)))>
#<alt (* 17/30240 (pow x 2))>
#<alt (* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 17/30240 (pow x 2))>
#<alt (* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt 1/18>
#<alt (+ 1/18 (* 1/180 (pow x 2)))>
#<alt (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))>
#<alt (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))>
#<alt (* 17/30240 (pow x 4))>
#<alt (* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* 17/30240 (pow x 4))>
#<alt (* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))>
#<alt (* 3/8 x)>
#<alt (* x (+ 3/8 (* -1/16 (pow x 2))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))>
#<alt (* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
#<alt (* 3/8 (sin x))>
Calls

60 calls:

TimeVariablePointExpression
62.0ms
x
@-inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@inf
(/ 3/4 (tan (/ x 2)))
1.0ms
x
@-inf
(/ 3/4 (tan (/ x 2)))
0.0ms
x
@inf
(* x (+ (* x (* x 1/18)) 2/3))

simplify662.0ms (6%)

Memory
-1.2MiB live, 571.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 840×lower-fma.f64
14 840×lower-fma.f32
4 472×lower-*.f64
4 472×lower-*.f32
3 806×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031902
15671902
214291900
335601892
463111892
081761770
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 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))))))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(/ 4/3 (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(+ 1/180 (* 17/30240 (pow x 2)))
(+ 1/180 (* 17/30240 (pow x 2)))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
(* 3/8 (sin x))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/18 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 1/18 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 17/30240 (pow x 7))
(*.f64 #s(literal 17/30240 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x)))))
(* 17/30240 (pow x 7))
(*.f64 #s(literal 17/30240 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1/180 binary64) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 17/30240 binary64)))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(* 17/30240 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 17/30240 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 2/3 binary64))
(* 17/30240 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 17/30240 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 17/30240 binary64) (/.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal 2/9 binary64)) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 7/270 binary64) #s(literal 2/9 binary64)) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/11340 binary64) #s(literal 7/270 binary64)) #s(literal 2/9 binary64)) #s(literal 4/3 binary64)) x)
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/40320 binary64)) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
1/180
#s(literal 1/180 binary64)
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* 17/30240 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/30240 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* 17/30240 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/30240 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(* 17/30240 (pow x 4))
(*.f64 x (*.f64 #s(literal 17/30240 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(* 17/30240 (pow x 4))
(*.f64 x (*.f64 #s(literal 17/30240 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))
(* 3/8 x)
(*.f64 x #s(literal 3/8 binary64))
(* x (+ 3/8 (* -1/16 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 3/8 binary64)))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/320 binary64) #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/13440 binary64)) #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64)))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(* 3/8 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))

rewrite429.0ms (3.9%)

Memory
-11.1MiB live, 710.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 544×lower-*.f32
4 532×lower-*.f64
4 526×lower-/.f32
4 516×lower-/.f64
2 858×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037171
060164
1224162
21465156
08298156
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 498
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x #s(literal 1/18 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
Outputs
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4913/27653197824000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/5832000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/324 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) (fma.f64 (/.f64 #s(literal 1/324 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) (/.f64 #s(literal 1/324 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))) (/.f64 #s(literal 1/324 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) (-.f64 (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) #s(literal 1/5832 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) #s(literal 1/324 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) #s(literal 1/5832 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/324 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) #s(literal -1/324 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))) #s(literal 1/5832 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) #s(literal 1/324 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))) #s(literal -1/324 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal -1/18 binary64)))))
(*.f64 (-.f64 #s(literal 1/324 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(neg.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))

eval298.0ms (2.7%)

Memory
21.0MiB live, 606.2MiB allocated
Compiler

Compiled 40 298 to 2 701 computations (93.3% saved)

prune169.0ms (1.5%)

Memory
-26.3MiB live, 452.7MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 842121 854
Fresh6612
Picked325
Done011
Total1 851211 872
Accuracy
100.0%
Counts
1 872 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
▶56.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
99.4%
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
▶99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.7%
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
47.1%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
▶47.5%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.4%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
▶99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
55.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
47.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
▶47.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
47.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
56.1%
(*.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
99.5%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
47.0%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
✓46.9%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
46.9%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 17/30240) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓47.0%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓47.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 467 to 319 computations (31.7% saved)

simplify110.0ms (1%)

Memory
18.6MiB live, 135.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff6976
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
✓cost-diff0
#s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Rules
758×lower-fma.f32
756×lower-fma.f64
562×lower-*.f32
556×lower-*.f64
442×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032148
048146
168143
297143
3129143
4190143
5264143
6384143
7652143
81174143
91995143
102309143
112336143
122356143
132383143
142400143
152407143
162428143
172439143
182441143
02441141
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 3/4 binary64)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(sin.f64 x)
#s(literal 3/4 binary64)
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
#s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 3/4 binary64)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(*.f64 #s(literal 3/4 binary64) (sin.f64 x))
(sin.f64 x)
#s(literal 3/4 binary64)

localize189.0ms (1.7%)

Memory
7.0MiB live, 342.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.7%
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓accuracy83.3%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓accuracy73.2%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
✓accuracy73.6%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
✓accuracy47.6%
#s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
✓accuracy47.5%
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Samples
60.0ms140×0valid
39.0ms50×1valid
31.0ms53×2valid
22.0ms13×3valid
Compiler

Compiled 126 to 30 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-cos: 41.0ms (32% of total)
ival-tan: 28.0ms (21.9% of total)
ival-div: 15.0ms (11.7% of total)
ival-sub: 13.0ms (10.2% of total)
ival-mult: 10.0ms (7.8% of total)
adjust: 7.0ms (5.5% of total)
ival-sin: 7.0ms (5.5% of total)
const: 4.0ms (3.1% 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)

series6.0ms (0.1%)

Memory
-27.8MiB live, 10.8MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))>
#<alt #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))>
#<alt #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))>
#<alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (*.f64 (sin.f64 x) #s(literal 3/4 binary64))>
#<alt (*.f64 x x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* 3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (* -1/8 x)>
#<alt (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))>
#<alt 3/2>
#<alt (+ 3/2 (* -1/8 (pow x 2)))>
#<alt (+ 3/2 (* -1/8 (pow x 2)))>
#<alt (+ 3/2 (* -1/8 (pow x 2)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 3/4 x)>
#<alt (* x (+ 3/4 (* -1/8 (pow x 2))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))>
#<alt (* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (* 3/4 (sin x))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

48 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (+ (* (* x x) -1/8) 3/2) x)
0.0ms
x
@0
(/ (+ (* (* x x) -1/8) 3/2) x)
0.0ms
x
@inf
(* (sin x) 3/4)
0.0ms
x
@-inf
(/ (+ (* (* x x) -1/8) 3/2) x)
0.0ms
x
@-inf
(* (sin x) 3/4)

simplify441.0ms (4%)

Memory
-8.4MiB live, 637.2MiB allocated
Algorithm
1×egg-herbie
Rules
17 794×lower-fma.f64
17 794×lower-fma.f32
5 210×lower-+.f64
5 210×lower-+.f32
3 908×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01411556
13761556
29121556
321511556
438891534
569131534
085731444
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(* -1/8 x)
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* -1/8 (pow x 2)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 3/4 x)
(* x (+ 3/4 (* -1/8 (pow x 2))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(* 3/4 (sin x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/20160 binary64)) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(* 3/4 (/ (sin x) (- 1 (cos x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* -1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(fma.f64 x #s(literal -1/8 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/480 binary64) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/20160 binary64)) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 3/4 x)
(*.f64 x #s(literal 3/4 binary64))
(* x (+ 3/4 (* -1/8 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/4 binary64)))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/160 binary64)) #s(literal -1/8 binary64)) #s(literal 3/4 binary64)))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6720 binary64)) #s(literal 1/160 binary64))) #s(literal -1/8 binary64)) #s(literal 3/4 binary64)))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(* 3/4 (sin x))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite400.0ms (3.6%)

Memory
42.7MiB live, 585.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 004×lower-*.f32
3 998×lower-*.f64
3 512×lower-/.f32
3 498×lower-/.f64
2 950×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032119
048117
1158108
2783108
36818108
08935108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 452
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(*.f64 x x)
Outputs
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x)))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64))) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 3/4 binary64) (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (*.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) (*.f64 #s(literal 3/4 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 9/16 binary64))) (/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 9/16 binary64))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(cos.f64 x)
(cos.f64 (neg.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 x))))
(neg.f64 (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 4/3 binary64))
(/.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -4/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 3/4 binary64) (sin.f64 x))
(*.f64 #s(literal 3/4 binary64) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(*.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal -3/4 binary64)))
(*.f64 #s(literal -3/4 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/4 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval242.0ms (2.2%)

Memory
20.8MiB live, 525.3MiB allocated
Compiler

Compiled 33 207 to 2 810 computations (91.5% saved)

prune194.0ms (1.8%)

Memory
-28.3MiB live, 486.9MiB allocated
Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New1 801171 818
Fresh4913
Picked145
Done033
Total1 806331 839
Accuracy
100.0%
Counts
1 839 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
99.1%
(/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64))
✓56.2%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
99.4%
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
✓99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
47.1%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
✓47.5%
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.4%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
47.2%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))))
✓99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
46.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal 9/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))))) x)))
46.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 27/8 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal -3/16 binary64)) #s(literal 9/4 binary64))))))
47.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
46.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
46.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
47.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)))) x)))
47.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
47.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(approx (+ (* (* x x) -1/8) 3/2) #s(literal 3/2 binary64)) x)))
47.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
47.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (neg.f64 x)))))
47.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
46.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))))
46.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)))))
2.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) #s(approx (/ (+ (* (* x x) -1/8) 3/2) x) (*.f64 x #s(literal -1/8 binary64)))))
55.2%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
56.1%
(*.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
99.5%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
46.9%
#s(approx (/ (- 1 (cos x)) (* (sin x) 3/4)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
47.0%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
✓46.9%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓47.0%
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
✓47.3%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 521 to 597 computations (60.7% saved)

regimes99.0ms (0.9%)

Memory
5.9MiB live, 83.9MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) #s(approx (/ (+ (* (* x x) -1/8) 3/2) x) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(approx (+ (* (* x x) -1/8) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 17/30240) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (- 1 (cos x)) (* (sin x) 3/4)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 27/8 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal -3/16 binary64)) #s(literal 9/4 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal 9/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))))) x)))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) (sin.f64 x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64)))) (sin.f64 x))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64))))) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -8/3 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(approx (sin x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (*.f64 (/.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

57.0ms
(/.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))
38.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes21.0ms (0.2%)

Memory
1.1MiB live, 42.9MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) #s(approx (/ (+ (* (* x x) -1/8) 3/2) x) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(approx (+ (* (* x x) -1/8) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 17/30240) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (- 1 (cos x)) (* (sin x) 3/4)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 27/8 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal -3/16 binary64)) #s(literal 9/4 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal 9/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))))) x)))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Outputs
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
Calls

2 calls:

10.0ms
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
99.5%1x
99.5%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes19.0ms (0.2%)

Memory
7.1MiB live, 45.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) #s(approx (/ (+ (* (* x x) -1/8) 3/2) x) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(approx (+ (* (* x x) -1/8) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 17/30240) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (- 1 (cos x)) (* (sin x) 3/4)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64)) #s(literal -1/8 binary64)) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/64 binary64))) #s(literal -9/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/512 binary64)) #s(literal 27/8 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/64 binary64)) #s(literal -3/16 binary64)) #s(literal 9/4 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal 9/4 binary64) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal -3/2 binary64))))) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
Calls

2 calls:

9.0ms
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
47.8%1x
47.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes11.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) #s(approx (/ (+ (* (* x x) -1/8) 3/2) x) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(approx (+ (* (* x x) -1/8) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 17/30240) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (- 1 (cos x)) (* (sin x) 3/4)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
Calls

2 calls:

5.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
47.7%1x
47.7%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes79.0ms (0.7%)

Memory
-22.3MiB live, 15.9MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) #s(approx (/ (+ (* (* x x) -1/8) 3/2) x) (*.f64 x #s(literal -1/8 binary64)))))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(approx (+ (* (* x x) -1/8) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 17/30240) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
#s(approx (/ (- 1 (cos x)) (* (sin x) 3/4)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64)))))
Outputs
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

74.0ms
(/.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))
4.0ms
x
Results
AccuracySegmentsBranch
47.5%1x
47.5%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -29.3b remaining (-86.8%)

Threshold costs -29.3b (-86.8%)

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

2 calls:

2.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
47.3%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))
47.3%1x
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04692
15392
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (* (- 1 (cos x)) 4/3) (sin x)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin x) (* (- 1 (cos x)) 4/3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
(/.f64 #s(approx (tan (/ x 2)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 x #s(literal 2/3 binary64)))

soundness1.3s (12.2%)

Memory
-48.1MiB live, 940.4MiB allocated
Rules
18 506×lower-fma.f64
18 506×lower-fma.f32
14 840×lower-fma.f64
14 840×lower-fma.f32
11 126×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02031902
15671902
214291900
335601892
463111892
081761770
033125
049123
1134114
2608105
34614105
010928104
01134
01934
13428
211528
362824
0491524
090414
1252414
2600408
31799408
43352408
54719408
65032408
75327408
85949408
97813408
08080384
037171
060164
1224162
21465156
08298156
02231566
15861566
214211560
326151560
445741560
548551560
652731560
761571560
877081560
080771462
032119
048117
1158108
2783108
36818108
08935108
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 233 to 132 computations (43.3% saved)

preprocess211.0ms (1.9%)

Memory
1.4MiB live, 159.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 206 to 126 computations (38.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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