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

Time bar (total: 11.4s)

analyze251.0ms (2.2%)

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

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-mult: 65.0ms (52.8% of total)
ival-sin: 27.0ms (21.9% of total)
ival-div: 26.0ms (21.1% of total)
const: 4.0ms (3.2% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.3s (11.7%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 839.0ms
ival-sin: 416.0ms (49.6% of total)
ival-mult: 207.0ms (24.7% of total)
ival-div: 195.0ms (23.2% of total)
const: 18.0ms (2.1% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess78.0ms (0.7%)

Algorithm
egg-herbie
Rules
934×fnmadd-define
792×fma-define
662×fmsub-define
634×fnmsub-define
598×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02045
14631
211430
332930
4105130
5221830
6291230
7319830
8341130
9347530
10356330
11426930
12430130
01214
11910
23010
33910
44210
04210
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin 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))))
Call 2
Inputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
Outputs
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (square (sin (* x 1/2))) (/ 8/3 (sin x)))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(* (square (sin (* x 1/2))) (/ -8/3 (sin x)))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
(* (square (sin (* x 1/2))) (/ 8/3 (sin x)))
Symmetry

(negabs x)

explain177.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-5(5.563782119684987e-158)(/.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-x
00-0-#s(literal 1/2 binary64)
00-0-(sin.f64 x)
00-0-(/.f64 #s(literal 8 binary64) #s(literal 3 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 x #s(literal 1/2 binary64))
00-0-#s(literal 3 binary64)
0131(9.439268155348369e+288)0-(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
00-0-#s(literal 8 binary64)
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))))
Results
105.0ms512×0valid
Compiler

Compiled 127 to 35 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sin: 23.0ms (52.5% of total)
ival-mult: 10.0ms (22.8% of total)
ival-div: 9.0ms (20.6% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
99.2%
(*.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))))
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
cost-diff128
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff128
(*.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-diff128
(/.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-diff0
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.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))))
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
18×*-commutative
10×/-lowering-/.f32
10×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
12772
23772
34372
04372
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
(sin (* x 1/2))
(* x 1/2)
x
1/2
(* (sin (* x 1/2)) (/ 8/3 (sin x)))
(/ 8/3 (sin x))
8/3
(sin x)
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(/ 8 3)
8
3
(sin (* x 1/2))
(* x 1/2)
x
1/2
(sin x)
Outputs
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(sin (* x 1/2))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(* (sin (* x 1/2)) (/ 8/3 (sin x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(/ 8/3 (sin x))
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
8/3
#s(literal 8/3 binary64)
(sin x)
(sin.f64 x)
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(* (/ 8 3) (sin (* x 1/2)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(/ 8 3)
#s(literal 8/3 binary64)
8
#s(literal 8 binary64)
3
#s(literal 3 binary64)
(sin (* x 1/2))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)

localize98.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 x)
accuracy99.6%
(*.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))))
accuracy99.5%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy76.0%
(/.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))
accuracy100.0%
(sin.f64 x)
accuracy99.5%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
accuracy99.5%
(*.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))))
accuracy99.5%
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
Results
75.0ms256×0valid
Compiler

Compiled 94 to 16 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 13.0ms (39.1% of total)
ival-mult: 9.0ms (27.1% of total)
ival-div: 7.0ms (21.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (12% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
10 → 108
Calls
Call 1
Inputs
#<alt (* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))>
#<alt (sin (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* (sin (* x 1/2)) (/ 8/3 (sin x)))>
#<alt (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))>
#<alt (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))>
#<alt (* (/ 8 3) (sin (* x 1/2)))>
#<alt (/ 8 3)>
#<alt (/ 8/3 (sin x))>
#<alt (sin 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 (* 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 (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 4/3>
#<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 (* 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 (/ 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))>
#<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

27 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* x 1/2)
1.0ms
x
@0
(/ 8/3 (sin x))
1.0ms
x
@inf
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms
x
@-inf
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
1.0ms
x
@inf
(* x 1/2)

rewrite654.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
3094×*-lowering-*.f32
3094×*-lowering-*.f64
2474×/-lowering-/.f32
2474×/-lowering-/.f64
1490×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01568
14156
215756
382753
4595453
0805353
Stop Event
iter limit
node limit
Counts
10 → 900
Calls
Call 1
Inputs
(* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))
(sin (* x 1/2))
(* x 1/2)
(* (sin (* x 1/2)) (/ 8/3 (sin x)))
(/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))
(* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))
(* (/ 8 3) (sin (* x 1/2)))
(/ 8 3)
(/ 8/3 (sin x))
(sin x)
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal 3/8 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) #s(literal -3/8 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) #s(literal 4/3 binary64) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) #s(literal -4/3 binary64) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal -3/8 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
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(pow.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -8/3 binary64))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 8/3 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 1 binary64) (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))
(+.f64 (sin.f64 x) #s(literal 0 binary64))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 (+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (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 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))

simplify277.0ms (2.4%)

Algorithm
egg-herbie
Rules
3680×*-lowering-*.f32
3680×*-lowering-*.f64
2864×+-lowering-+.f64
2864×+-lowering-+.f32
2336×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0145850
1415734
21201731
33832731
44903731
56263731
66791731
77270731
08135731
Stop Event
iter limit
node limit
Counts
108 → 108
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)))
(* 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))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
4/3
(+ 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)))
(* 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)))
(/ 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))
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 (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 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)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/48 binary64)))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin (* 1/2 x))
(sin.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))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 5/288 binary64)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/288 binary64) (*.f64 (*.f64 x x) #s(literal 61/34560 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)))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/540 binary64)))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 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 (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 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))))
(/ 8/3 x)
(/.f64 #s(literal 8/3 binary64) x)
(/ (+ 8/3 (* 4/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x #s(literal 4/9 binary64)))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 7/135 binary64)))))) x)
(/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 8/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 7/135 binary64) (*.f64 (*.f64 x x) #s(literal 31/5670 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))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 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)

eval201.0ms (1.8%)

Compiler

Compiled 24333 to 1791 computations (92.6% saved)

prune151.0ms (1.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New1149311180
Fresh000
Picked202
Done000
Total1151311182
Accuracy
100.0%
Counts
1182 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) #s(literal 2 binary64))
54.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
54.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))
99.2%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
53.9%
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
54.0%
(/.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
54.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (sin.f64 x))
54.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
54.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
25.7%
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
75.6%
(/.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))
26.5%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
54.0%
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
53.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
53.9%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
53.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
54.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
51.1%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))
99.5%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
54.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
99.2%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
99.1%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
49.4%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
51.7%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)))
71.7%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))))))
54.2%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
49.4%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
75.6%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
49.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 854 to 646 computations (24.4% saved)

simplify174.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff0
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
cost-diff128
(*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))
cost-diff128
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)))
cost-diff6656
(/.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))
cost-diff0
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff6528
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(sin.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
cost-diff0
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
Rules
2690×*-lowering-*.f32
2690×*-lowering-*.f64
2318×+-lowering-+.f64
2318×+-lowering-+.f32
2286×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039243
196224
2290220
3792214
42119214
54014214
66604214
77788214
08064214
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) (sin x))
(sin (/ x 2))
(/ x 2)
x
2
(sin x)
(/ (sin (/ x 2)) 3/8)
3/8
(* 2/3 x)
2/3
x
(* (- 1 (cos x)) (/ 4/3 (sin x)))
(- 1 (cos x))
1
(cos x)
x
(/ 4/3 (sin x))
4/3
(sin x)
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
(+ 4/3 (* (* (cos x) -1/2) 8/3))
4/3
(* (* (cos x) -1/2) 8/3)
(* (cos x) -1/2)
(cos x)
x
-1/2
8/3
(sin x)
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))
(* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2)))
(* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))))
x
(+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))
4/3
(* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))
(* x x)
(+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))
-1/18
(* (* x x) (+ 1/1440 (* (* x x) -1/241920)))
(+ 1/1440 (* (* x x) -1/241920))
1/1440
(* (* x x) -1/241920)
-1/241920
(sin (* x 1/2))
(* x 1/2)
1/2
(sin x)
Outputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/ (sin (/ x 2)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(sin x)
(sin.f64 x)
(/ (sin (/ x 2)) 3/8)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
x
(* (- 1 (cos x)) (/ 4/3 (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(+ 4/3 (* (* (cos x) -1/2) 8/3))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
4/3
#s(literal 4/3 binary64)
(* (* (cos x) -1/2) 8/3)
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* (cos x) -1/2)
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(cos x)
(cos.f64 x)
x
-1/2
#s(literal -1/2 binary64)
8/3
#s(literal 8/3 binary64)
(sin x)
(sin.f64 x)
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))
(*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (sin.f64 x))))
(* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2)))
(*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 x (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))))
x
(+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
4/3
#s(literal 4/3 binary64)
(* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))
(+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))
-1/18
#s(literal -1/18 binary64)
(* (* x x) (+ 1/1440 (* (* x x) -1/241920)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))
(+ 1/1440 (* (* x x) -1/241920))
(+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))
1/1440
#s(literal 1/1440 binary64)
(* (* x x) -1/241920)
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64))
-1/241920
#s(literal -1/241920 binary64)
(sin (* x 1/2))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(sin x)
(sin.f64 x)

localize504.0ms (4.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))
accuracy99.7%
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
accuracy99.0%
(*.f64 (*.f64 x x) #s(literal -1/241920 binary64))
accuracy76.2%
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy99.7%
(*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))
accuracy78.3%
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64)))
accuracy76.0%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy99.5%
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
accuracy78.5%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy75.9%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
accuracy99.5%
(*.f64 #s(literal 2/3 binary64) x)
accuracy100.0%
(sin.f64 x)
accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
accuracy99.7%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
accuracy99.7%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
Results
166.0ms67×2valid
97.0ms26×3valid
94.0ms133×0valid
66.0ms30×1valid
Compiler

Compiled 273 to 40 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-cos: 62.0ms (25.1% of total)
...c/correct-round.rkt:119:19: 62.0ms (25.1% of total)
ival-mult: 35.0ms (14.1% of total)
backward-pass: 32.0ms (12.9% of total)
ival-sin: 22.0ms (8.9% of total)
ival-div: 19.0ms (7.7% of total)
ival-add: 10.0ms (4% of total)
ival-sub: 3.0ms (1.2% of total)
const: 2.0ms (0.8% of total)

series25.0ms (0.2%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))>
#<alt (/ (sin (/ x 2)) (sin x))>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (* 2/3 x)>
#<alt (* (- 1 (cos x)) (/ 4/3 (sin x)))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ 4/3 (sin x))>
#<alt (/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))>
#<alt (+ 4/3 (* (* (cos x) -1/2) 8/3))>
#<alt (* (* (cos x) -1/2) 8/3)>
#<alt (* (cos x) -1/2)>
#<alt (/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))>
#<alt (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2)))>
#<alt (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))))>
#<alt (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))>
#<alt (/ (sin (/ x 2)) 3/8)>
#<alt (sin x)>
#<alt (* (* x x) -1/241920)>
#<alt (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))>
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 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 (* 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 (* 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 (* 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 (/ 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 (* 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 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (cos x))) (sin x))>
#<alt (/ (+ 4/3 (* -4/3 (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 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt (+ 4/3 (* -4/3 (cos x)))>
#<alt -4/3>
#<alt (- (* 2/3 (pow x 2)) 4/3)>
#<alt (- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)>
#<alt (- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt (* -4/3 (cos x))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))>
#<alt (* (pow x 7) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))))))>
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x))))))))>
#<alt (* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 1/241920 (/ (sin (* 1/2 x)) (sin x))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x))))))))>
#<alt (* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x)))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (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 (* -1/241920 (* (pow x 7) (sin (* 1/2 x))))>
#<alt (* (pow x 7) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2)))))>
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))))))>
#<alt (* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 4/3 (/ (sin (* 1/2 x)) (pow x 6)))))))>
#<alt (* -1/241920 (* (pow x 7) (sin (* 1/2 x))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 1/241920 (sin (* 1/2 x))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (pow x 6))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4))))))))>
#<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 (* -1/241920 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))>
#<alt (* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* -1/241920 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))))))>
#<alt 4/3>
#<alt (+ 4/3 (* -1/18 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))>
#<alt (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))>
#<alt (* -1/241920 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* -1/241920 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<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)>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/241920 (pow x 2))>
#<alt (* -1/18 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))>
#<alt (* -1/241920 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* -1/241920 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))>
Calls

63 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))
3.0ms
x
@0
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))
1.0ms
x
@-inf
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))
1.0ms
x
@inf
(* (- 1 (cos x)) (/ 4/3 (sin x)))
1.0ms
x
@-inf
(* (- 1 (cos x)) (/ 4/3 (sin x)))

rewrite373.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
3510×/-lowering-/.f32
3510×/-lowering-/.f64
3252×*-lowering-*.f32
3252×*-lowering-*.f64
1994×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039182
1205162
21622162
08405162
Stop Event
iter limit
node limit
Counts
21 → 630
Calls
Call 1
Inputs
(* (/ (sin (/ x 2)) (sin x)) (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) (sin x))
(sin (/ x 2))
(/ x 2)
(* 2/3 x)
(* (- 1 (cos x)) (/ 4/3 (sin x)))
(- 1 (cos x))
(cos x)
(/ 4/3 (sin x))
(/ (+ 4/3 (* (* (cos x) -1/2) 8/3)) (sin x))
(+ 4/3 (* (* (cos x) -1/2) 8/3))
(* (* (cos x) -1/2) 8/3)
(* (cos x) -1/2)
(/ (* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2))) (sin x))
(* (* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))) (sin (* x 1/2)))
(* x (+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))))
(+ 4/3 (* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920))))))
(/ (sin (/ x 2)) 3/8)
(sin x)
(* (* x x) -1/241920)
(* (* x x) (+ -1/18 (* (* x x) (+ 1/1440 (* (* x x) -1/241920)))))
Outputs
(-.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 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -3/8 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -3/8 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -3/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (neg.f64 (*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) #s(literal 3/8 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3/8 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal 3/8 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (sin.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) #s(literal 3/8 binary64))
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(*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))
(*.f64 (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) x)
(*.f64 (+.f64 (*.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
(*.f64 (*.f64 (+.f64 #s(literal -1/5832 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))) #s(literal 1/18 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))) (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))

simplify275.0ms (2.4%)

Algorithm
egg-herbie
Rules
4270×*-lowering-*.f32
4270×*-lowering-*.f64
3892×+-lowering-+.f64
3892×+-lowering-+.f32
1566×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03022292
19322025
229631955
366651955
083711955
Stop Event
iter limit
node limit
Counts
252 → 252
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)))
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))
(* 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)
(* 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)))
(* 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)
(/ 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))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/ (+ 4/3 (* -4/3 (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 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
-4/3
(- (* 2/3 (pow x 2)) 4/3)
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
(* -4/3 (cos x))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))
(* (pow x 7) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x))))))
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))))))
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x)))) (+ (* -1/241920 (/ (sin (* 1/2 x)) (sin x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x))))))))
(* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (* 1/241920 (/ (sin (* 1/2 x)) (sin x))))))
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (sin x))))))))
(* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (* (pow x 6) (sin x)))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (* (pow x 2) (sin x)))) (+ (* 1/241920 (/ (sin (* 1/2 x)) (sin x))) (* 1/18 (/ (sin (* 1/2 x)) (* (pow x 4) (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))))
(* -1/241920 (* (pow x 7) (sin (* 1/2 x))))
(* (pow x 7) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2)))))
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))))))
(* (pow x 7) (+ (* -1/18 (/ (sin (* 1/2 x)) (pow x 4))) (+ (* -1/241920 (sin (* 1/2 x))) (+ (* 1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 4/3 (/ (sin (* 1/2 x)) (pow x 6)))))))
(* -1/241920 (* (pow x 7) (sin (* 1/2 x))))
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (* 1/241920 (sin (* 1/2 x))))))
(* -1 (* (pow x 7) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4)))))))
(* -1 (* (pow x 7) (+ (* -4/3 (/ (sin (* 1/2 x)) (pow x 6))) (+ (* -1/1440 (/ (sin (* 1/2 x)) (pow x 2))) (+ (* 1/241920 (sin (* 1/2 x))) (* 1/18 (/ (sin (* 1/2 x)) (pow x 4))))))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* -1/241920 (pow x 7))
(* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))
(* (pow x 7) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* -1/241920 (pow x 7))
(* -1 (* (pow x 7) (- 1/241920 (* 1/1440 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (* 1/1440 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/241920 (/ 1/18 (pow x 4))) (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))))))
4/3
(+ 4/3 (* -1/18 (pow x 2)))
(+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))
(+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))
(* -1/241920 (pow x 6))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* -1/241920 (pow x 6))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/1440 (/ 1 (pow x 2))) (* 4/3 (/ 1 (pow x 6)))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* 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)
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/241920 (pow x 2))
(* -1/18 (pow x 2))
(* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))
(* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))
(* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))
(* -1/241920 (pow x 6))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* -1/241920 (pow x 6))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 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 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 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 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 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 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 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 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 2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/768 binary64))))))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 5/768 binary64) (*.f64 x (*.f64 x #s(literal 61/92160 binary64)))))))))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(/ (sin (* 1/2 x)) (sin x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 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 2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 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) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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)
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/9 binary64))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 (*.f64 x x) #s(literal 7/270 binary64)))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 7/270 binary64) (*.f64 (*.f64 x x) #s(literal 31/11340 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))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64))) (sin.f64 x))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 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 (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64)))))))))))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(+ 4/3 (* -4/3 (cos x)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
-4/3
#s(literal -4/3 binary64)
(- (* 2/3 (pow x 2)) 4/3)
(+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 x x)))
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)
(+.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)
(+.f64 #s(literal -4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/1440 binary64))))))))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* -1/2 (cos x))
(*.f64 (cos.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 (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
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(* -1/241920 (/ (* (pow x 7) (sin (* 1/2 x))) (sin x)))
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1/241920 (pow x 6))
(*.f64 #s(literal -1/241920 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) 1/241920))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 6) (- (* 1/1440 (/ 1 (pow x 2))) (+ 1/241920 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/241920 binary64) (/.f64 #s(literal 1/1440 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))

eval170.0ms (1.5%)

Compiler

Compiled 26010 to 2470 computations (90.5% saved)

prune176.0ms (1.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New993111004
Fresh19726
Picked235
Done000
Total1014211035
Accuracy
100.0%
Counts
1035 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
99.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
54.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))
54.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
54.0%
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
25.0%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) (sin.f64 x))
75.6%
(/.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))
53.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
54.0%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
99.5%
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
54.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
99.2%
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))))
71.7%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))))))
49.4%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
75.6%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
53.9%
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
99.4%
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
49.6%
(*.f64 #s(literal 2/3 binary64) x)
54.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
Compiler

Compiled 517 to 374 computations (27.7% saved)

simplify178.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64))
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))
cost-diff0
(/.f64 (sin.f64 x) #s(literal 4/3 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff6528
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(sin.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
cost-diff0
(*.f64 x #s(literal 1/18 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
cost-diff0
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
cost-diff0
(sin.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
cost-diff0
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
cost-diff128
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
Rules
2134×fma-define
1656×fma-lowering-fma.f32
1656×fma-lowering-fma.f64
1626×sum3-define
1492×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032166
169155
2140152
3245144
4454144
5863144
61846144
73211144
84821144
97191144
08222144
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8)
(/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2))))
(- 0 (sin (/ x 2)))
0
(sin (/ x 2))
(/ x 2)
x
2
(/ (sin x) (sin (/ x 2)))
(sin x)
-3/8
(* x (+ 2/3 (* x (* x 1/18))))
x
(+ 2/3 (* x (* x 1/18)))
2/3
(* x (* x 1/18))
(* x 1/18)
1/18
(* 1/2 (/ (sin (/ x 2)) 3/8))
1/2
(/ (sin (/ x 2)) 3/8)
(sin (/ x 2))
(/ x 2)
x
2
3/8
(/ (- 1 (cos x)) (/ (sin x) 4/3))
(- 1 (cos x))
1
(cos x)
x
(/ (sin x) 4/3)
(sin x)
4/3
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))
(/ (+ 1/2 (* (cos x) -1/2)) 3/8)
(+ 1/2 (* (cos x) -1/2))
1/2
(* (cos x) -1/2)
(cos x)
x
-1/2
3/8
(sin x)
Outputs
(/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(- 0 (sin (/ x 2)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
0
#s(literal 0 binary64)
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ (sin x) (sin (/ x 2)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(sin x)
(sin.f64 x)
-3/8
#s(literal -3/8 binary64)
(* x (+ 2/3 (* x (* x 1/18))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
x
(+ 2/3 (* x (* x 1/18)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
2/3
#s(literal 2/3 binary64)
(* x (* x 1/18))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
(* 1/2 (/ (sin (/ x 2)) 3/8))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
1/2
#s(literal 1/2 binary64)
(/ (sin (/ x 2)) 3/8)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/8
#s(literal 3/8 binary64)
(/ (- 1 (cos x)) (/ (sin x) 4/3))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(/ (sin x) 4/3)
(/.f64 (sin.f64 x) #s(literal 4/3 binary64))
(sin x)
(sin.f64 x)
4/3
#s(literal 4/3 binary64)
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(/ (+ 1/2 (* (cos x) -1/2)) 3/8)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64))
(+ 1/2 (* (cos x) -1/2))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* (cos x) -1/2)
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(cos x)
(cos.f64 x)
x
-1/2
#s(literal -1/2 binary64)
3/8
#s(literal 3/8 binary64)
(sin x)
(sin.f64 x)

localize491.0ms (4.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy99.7%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64))
accuracy78.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
accuracy76.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy99.3%
(/.f64 (sin.f64 x) #s(literal 4/3 binary64))
accuracy78.5%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy75.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
accuracy100.0%
(sin.f64 (/.f64 x #s(literal 2 binary64)))
accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
accuracy100.0%
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
accuracy99.5%
(*.f64 x #s(literal 1/18 binary64))
accuracy100.0%
(sin.f64 x)
accuracy99.8%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
accuracy99.7%
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
accuracy99.7%
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
Results
201.0ms21×3valid
94.0ms52×2valid
72.0ms133×0valid
72.0ms50×1valid
Compiler

Compiled 171 to 33 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-sin: 48.0ms (22.1% of total)
...c/correct-round.rkt:119:19: 42.0ms (19.3% of total)
ival-mult: 38.0ms (17.5% of total)
ival-div: 29.0ms (13.3% of total)
ival-cos: 29.0ms (13.3% of total)
backward-pass: 18.0ms (8.3% of total)
ival-sub: 6.0ms (2.8% of total)
ival-add: 6.0ms (2.8% of total)
const: 2.0ms (0.9% of total)

series13.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8)>
#<alt (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2))))>
#<alt (- 0 (sin (/ x 2)))>
#<alt (sin (/ x 2))>
#<alt (* x (+ 2/3 (* x (* x 1/18))))>
#<alt (+ 2/3 (* x (* x 1/18)))>
#<alt (* x (* x 1/18))>
#<alt (* x 1/18)>
#<alt (* 1/2 (/ (sin (/ x 2)) 3/8))>
#<alt (/ (sin (/ x 2)) 3/8)>
#<alt (/ x 2)>
#<alt (/ (- 1 (cos x)) (/ (sin x) 4/3))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ (sin x) 4/3)>
#<alt (/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))>
#<alt (/ (+ 1/2 (* (cos x) -1/2)) 3/8)>
#<alt (+ 1/2 (* (cos x) -1/2))>
#<alt (* (cos x) -1/2)>
#<alt (/ (sin x) (sin (/ x 2)))>
#<alt (sin 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 (* -1/4 x)>
#<alt (* x (- (* -1/48 (pow x 2)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/48 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))>
#<alt (* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 x)))>
#<alt (* -1 (sin (* 1/2 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 (* 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 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (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 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<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 (* 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 (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 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 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 8/3 (+ 1/2 (* -1/2 (cos x))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt (+ 1/2 (* -1/2 (cos x)))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt (* -1/2 (cos x))>
#<alt 2>
#<alt (+ 2 (* -1/4 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/4)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/192 (* -1/23040 (pow x 2)))) 1/4)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (sin (* 1/2 x)))>
#<alt (/ (sin x) (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

63 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))
1.0ms
x
@inf
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))
0.0ms
x
@inf
(* x (+ 2/3 (* x (* x 1/18))))
0.0ms
x
@inf
(/ (sin x) (sin (/ x 2)))
0.0ms
x
@-inf
(/ (sin x) (sin (/ x 2)))

rewrite439.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
3706×/-lowering-/.f32
3706×/-lowering-/.f64
3396×*-lowering-*.f32
3396×*-lowering-*.f64
1566×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032135
1185121
21326113
08574113
Stop Event
iter limit
node limit
Counts
21 → 774
Calls
Call 1
Inputs
(/ (/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2)))) -3/8)
(/ (- 0 (sin (/ x 2))) (/ (sin x) (sin (/ x 2))))
(- 0 (sin (/ x 2)))
(sin (/ x 2))
(* x (+ 2/3 (* x (* x 1/18))))
(+ 2/3 (* x (* x 1/18)))
(* x (* x 1/18))
(* x 1/18)
(* 1/2 (/ (sin (/ x 2)) 3/8))
(/ (sin (/ x 2)) 3/8)
(/ x 2)
(/ (- 1 (cos x)) (/ (sin x) 4/3))
(- 1 (cos x))
(cos x)
(/ (sin x) 4/3)
(/ (/ (+ 1/2 (* (cos x) -1/2)) 3/8) (sin x))
(/ (+ 1/2 (* (cos x) -1/2)) 3/8)
(+ 1/2 (* (cos x) -1/2))
(* (cos x) -1/2)
(/ (sin x) (sin (/ x 2)))
(sin x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64)))
(neg.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal -3/8 binary64))))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))) #s(literal -8/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))) (sin.f64 x))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
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(/.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1/4 binary64)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 x))))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(+.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) #s(literal 0 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))))))
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))

simplify440.0ms (3.9%)

Algorithm
egg-herbie
Rules
5584×+-lowering-+.f64
5584×+-lowering-+.f32
3346×*-lowering-*.f32
3346×*-lowering-*.f64
1416×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02761760
18161500
222251500
338601492
465401492
081011492
Stop Event
iter limit
node limit
Counts
252 → 252
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)))
(* -1/4 x)
(* x (- (* -1/48 (pow x 2)) 1/4))
(* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* -1/2 x)
(* x (- (* 1/48 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 x)))
(* -1 (sin (* 1/2 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 (* 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 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (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 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 8/3 (sin (* 1/2 x)))
(* 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)))
(* 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))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 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 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
(+ 1/2 (* -1/2 (cos x)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
(* -1/2 (cos x))
2
(+ 2 (* -1/4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/192 (* -1/23040 (pow x 2)))) 1/4)))
(/ (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) (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 (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 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 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 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 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 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 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 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 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 2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* -1/48 (pow x 2)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/48 binary64)))))
(* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/48 (pow x 2)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(* x (- (* (pow x 2) (+ 1/48 (* -1/3840 (pow x 2)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/3840 binary64)))))))
(* x (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/645120 (pow x 2)) 1/3840)))) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3840 binary64) (*.f64 (*.f64 x x) #s(literal 1/645120 binary64)))))))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* -1 (sin (* 1/2 x)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.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 (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (pow x 3))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* 1/18 (pow x 3))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(+ 2/3 (* 1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(+ 2/3 (* 1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 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)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 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)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
(* 1/18 (pow x 2))
(*.f64 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))
(* 1/18 x)
(*.f64 x #s(literal 1/18 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x #s(literal 1/2880 binary64))))))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64)))))))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64))))))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64))))))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (sin (* 1/2 x)))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* 1/2 x)
(/.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 (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 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 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 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 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 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 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (+ 3/4 (* (pow x 2) (- (* 1/160 (pow x 2)) 1/8))))
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/160 binary64)))))))
(* x (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 1/160 (* -1/6720 (pow x 2)))) 1/8))))
(*.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/160 binary64) (*.f64 (*.f64 x x) #s(literal -1/6720 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))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/540 binary64))))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64)))))))))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 8/3 (+ 1/2 (* -1/2 (cos x))))
(+.f64 #s(literal 4/3 binary64) (*.f64 (cos.f64 x) #s(literal -4/3 binary64)))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/48 binary64))) #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64))))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/80640 binary64))))))))))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/48 binary64))) #s(literal 1/4 binary64)))))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/1440 binary64)))))))))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
2
#s(literal 2 binary64)
(+ 2 (* -1/4 (pow x 2)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(+ 2 (* (pow x 2) (- (* 1/192 (pow x 2)) 1/4)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/192 binary64))))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/192 (* -1/23040 (pow x 2)))) 1/4)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 x x) #s(literal -1/23040 binary64))))))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin x) (sin (* 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 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)

eval173.0ms (1.5%)

Compiler

Compiled 23863 to 2972 computations (87.5% saved)

prune197.0ms (1.7%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1228111239
Fresh8513
Picked235
Done123
Total1239211260
Accuracy
100.0%
Counts
1260 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))
54.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
49.6%
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
49.6%
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64))
49.9%
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
53.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
54.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
99.4%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
49.4%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
49.0%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64)))))))))
49.1%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
75.6%
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
53.9%
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
49.6%
(*.f64 #s(literal 2/3 binary64) x)
49.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64)))
49.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64)))
49.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))
Compiler

Compiled 500 to 350 computations (30% saved)

simplify142.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff6528
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff6528
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))
cost-diff0
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))))
cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
cost-diff0
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
cost-diff0
(*.f64 x #s(literal -1/4 binary64))
cost-diff128
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Rules
1768×fma-lowering-fma.f32
1768×fma-lowering-fma.f64
1656×*-lowering-*.f32
1656×*-lowering-*.f64
1624×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037201
1104180
2335180
3868180
41655180
52628180
63697180
75344180
87851180
08032180
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
x
2
3/4
(/ (* x -1/4) -3/8)
(* x -1/4)
x
-1/4
-3/8
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
x
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
2/3
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(* x x)
(+ 1/18 (* (* x x) 1/180))
1/18
(* (* x x) 1/180)
1/180
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8)
(* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))))
x
(+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))
-1/4
(* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))
(* x x)
(+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))
-1/48
(* (* x x) (+ -1/480 (* (* x x) -17/80640)))
(+ -1/480 (* (* x x) -17/80640))
-1/480
(* (* x x) -17/80640)
-17/80640
-3/8
(* (/ (- 1 (cos x)) (sin x)) 4/3)
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
1
(cos x)
x
(sin x)
4/3
Outputs
(/ (tan (/ x 2)) 3/4)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(/ (* x -1/4) -3/8)
(*.f64 x #s(literal 2/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
x
-1/4
#s(literal -1/4 binary64)
-3/8
#s(literal -3/8 binary64)
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
x
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
(* x x)
(*.f64 x x)
(+ 1/18 (* (* x x) 1/180))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
1/18
#s(literal 1/18 binary64)
(* (* x x) 1/180)
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
1/180
#s(literal 1/180 binary64)
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8)
(*.f64 x (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))) #s(literal -3/8 binary64)))
(* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))))
x
(+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))
-1/4
#s(literal -1/4 binary64)
(* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))
-1/48
#s(literal -1/48 binary64)
(* (* x x) (+ -1/480 (* (* x x) -17/80640)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))
(+ -1/480 (* (* x x) -17/80640))
(+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))
-1/480
#s(literal -1/480 binary64)
(* (* x x) -17/80640)
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
-17/80640
#s(literal -17/80640 binary64)
-3/8
#s(literal -3/8 binary64)
(* (/ (- 1 (cos x)) (sin x)) 4/3)
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(sin x)
(sin.f64 x)
4/3
#s(literal 4/3 binary64)

localize369.0ms (3.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy99.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy78.5%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy76.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))
accuracy99.1%
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
accuracy100.0%
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
accuracy99.1%
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
accuracy100.0%
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
accuracy100.0%
(*.f64 x #s(literal -1/4 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))
Results
137.0ms64×2valid
84.0ms133×0valid
82.0ms59×1valid
Compiler

Compiled 239 to 38 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
...c/correct-round.rkt:119:19: 35.0ms (23.8% of total)
ival-cos: 28.0ms (19% of total)
ival-mult: 26.0ms (17.7% of total)
backward-pass: 17.0ms (11.6% of total)
ival-div: 15.0ms (10.2% of total)
ival-add: 9.0ms (6.1% of total)
ival-tan: 7.0ms (4.8% of total)
ival-sin: 6.0ms (4.1% of total)
ival-sub: 3.0ms (2% of total)
const: 1.0ms (0.7% of total)

series16.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (/ (* x -1/4) -3/8)>
#<alt (* x -1/4)>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))>
#<alt (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))>
#<alt (* (* x x) (+ 1/18 (* (* x x) 1/180)))>
#<alt (* x x)>
#<alt (/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8)>
#<alt (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))))>
#<alt (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))>
#<alt (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))>
#<alt (* (/ (- 1 (cos x)) (sin x)) 4/3)>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* (* x x) 1/180)>
#<alt (* (* x x) -17/80640)>
#<alt (* (* x x) (+ -1/480 (* (* x x) -17/80640)))>
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 (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* 2/3 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* 1/180 (pow x 5))>
#<alt (* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* 1/180 (pow x 5))>
#<alt (* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))>
#<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 (* 1/180 (pow x 2)))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (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 (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 (* 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 (* -1/4 x)>
#<alt (* x (- (* -1/48 (pow x 2)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))>
#<alt (* -17/80640 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -17/80640 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))))))>
#<alt -1/4>
#<alt (- (* -1/48 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4)>
#<alt (* -17/80640 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -17/80640 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -1/48 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48))>
#<alt (* -17/80640 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<alt (* -17/80640 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))>
#<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 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (* 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 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -17/80640 (pow x 2))>
#<alt (* -1/480 (pow x 2))>
#<alt (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))>
#<alt (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))>
#<alt (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))>
#<alt (* -17/80640 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -17/80640 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))>
Calls

60 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
1.0ms
x
@inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@-inf
(/ (tan (/ x 2)) 3/4)
0.0ms
x
@inf
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8)
0.0ms
x
@inf
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))

rewrite482.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
4798×*-lowering-*.f32
4798×*-lowering-*.f64
3882×/-lowering-/.f32
3882×/-lowering-/.f64
1876×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037155
1227138
21837138
09230138
Stop Event
iter limit
node limit
Counts
20 → 752
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(/ (* x -1/4) -3/8)
(* x -1/4)
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(* x x)
(/ (* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))) -3/8)
(* x (+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))))
(+ -1/4 (* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640))))))
(* (* x x) (+ -1/48 (* (* x x) (+ -1/480 (* (* x x) -17/80640)))))
(* (/ (- 1 (cos x)) (sin x)) 4/3)
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(* (* x x) 1/180)
(* (* x x) -17/80640)
(* (* x x) (+ -1/480 (* (* x x) -17/80640)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 3/4 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(neg.f64 (/.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 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.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 3/4 binary64) (sin.f64 x)))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (sin.f64 x)))
(/.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sin.f64 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (sin.f64 x))))
(/.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -3/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 4/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3/4 binary64)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) #s(literal 9/16 binary64))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 4/3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 4/3 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x)))
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(pow.f64 (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
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(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
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(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))
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(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
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(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(cos.f64 x)
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(*.f64 (cos.f64 x) #s(literal 1 binary64))
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(*.f64 #s(literal 1/180 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/180 binary64)) x)
(*.f64 x (*.f64 x #s(literal -17/80640 binary64)))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(*.f64 #s(literal -17/80640 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -17/80640 binary64)) x)
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
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(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))))
(fma.f64 x (*.f64 x #s(literal -1/480 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal -17/80640 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/480 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 #s(literal -1/480 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))
(fma.f64 #s(literal -17/80640 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -17/80640 binary64)) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -17/80640 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
(fma.f64 (*.f64 #s(literal -1/480 binary64) x) x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/80640 binary64))) x) x (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))
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(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))))
(*.f64 (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal -1/480 binary64) (*.f64 x (*.f64 x #s(literal -17/80640 binary64))))) x)

simplify274.0ms (2.4%)

Algorithm
egg-herbie
Rules
3618×*-lowering-*.f32
3618×*-lowering-*.f64
1772×+-lowering-+.f64
1772×+-lowering-+.f32
1586×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01981974
16121722
219121692
357401688
081791688
Stop Event
iter limit
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)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* 2/3 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
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 (* 1/180 (pow x 2)))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (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)
(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))))))))
(* 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)))))))
(* -1/4 x)
(* x (- (* -1/48 (pow x 2)) 1/4))
(* x (- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4))
(* -17/80640 (pow x 7))
(* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -17/80640 (pow x 7))
(* -1 (* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))))))
-1/4
(- (* -1/48 (pow x 2)) 1/4)
(- (* (pow x 2) (- (* -1/480 (pow x 2)) 1/48)) 1/4)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48)) 1/4)
(* -17/80640 (pow x 6))
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -17/80640 (pow x 6))
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* (pow x 6) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -1/48 (pow x 2))
(* (pow x 2) (- (* -1/480 (pow x 2)) 1/48))
(* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48))
(* (pow x 2) (- (* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480)) 1/48))
(* -17/80640 (pow x 6))
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* -17/80640 (pow x 6))
(* -1 (* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640))
(* 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 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 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 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -17/80640 (pow x 2))
(* -1/480 (pow x 2))
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))
(* -17/80640 (pow x 4))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -17/80640 (pow x 4))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x #s(literal 17/30240 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 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 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)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(* 1/180 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/180 (pow x 5))
(*.f64 x (*.f64 #s(literal 1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x 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))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
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(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 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) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 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)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 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 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -17/80640 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/80640 binary64))
(* -1/480 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/480 binary64)))
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))
(* (pow x 2) (- (* -17/80640 (pow x 2)) 1/480))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64))))
(* -17/80640 (pow x 4))
(*.f64 #s(literal -17/80640 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -17/80640 (pow x 4))
(*.f64 #s(literal -17/80640 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))

eval165.0ms (1.4%)

Compiler

Compiled 27226 to 2517 computations (90.8% saved)

prune134.0ms (1.2%)

Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New106041064
Fresh3811
Picked055
Done145
Total1064211085
Accuracy
100.0%
Counts
1085 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))
54.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
99.4%
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
49.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64))
49.6%
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
49.9%
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
49.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
53.9%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
54.0%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
99.4%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
49.4%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
49.0%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64)))))))))
49.1%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
49.3%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
49.6%
(*.f64 #s(literal 2/3 binary64) x)
49.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64)))
49.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64)))
49.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))
Compiler

Compiled 1016 to 448 computations (55.9% saved)

regimes46.0ms (0.4%)

Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64)))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/4 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #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 (cos.f64 x) #s(literal -4/3 binary64)) #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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
(*.f64 #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal 2 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 #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 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) #s(literal 3/8 binary64)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 8/3 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/241920 binary64)))))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -8/3 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 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))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)))))))
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

27.0ms
x
16.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%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)

regimes8.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64)))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
Outputs
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal -1/18 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))) #s(literal 3/8 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal -1/480 binary64)))))) #s(literal -3/8 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64))))))) #s(literal 3/4 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2880 binary64) (*.f64 (*.f64 x x) #s(literal -1/483840 binary64)))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/480 binary64) (*.f64 (*.f64 x x) #s(literal -17/80640 binary64)))))))) #s(literal -3/8 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)))))))) #s(literal 3/8 binary64)))
Outputs
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
49.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
49.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
Outputs
(*.f64 #s(literal 2/3 binary64) x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
49.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01825
12425
Stop Event
saturated
Calls
Call 1
Inputs
(/.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 2 binary64))))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
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 2 binary64))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))

soundness2.8s (24.7%)

Rules
5584×+-lowering-+.f64
5584×+-lowering-+.f32
4798×*-lowering-*.f32
4798×*-lowering-*.f64
4270×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037155
1227138
21837138
09230138
0145850
1415734
21201731
33832731
44903731
56263731
66791731
77270731
08135731
032135
1185121
21326113
08574113
039182
1205162
21622162
08405162
02761760
18161500
222251500
338601492
465401492
081011492
03022292
19322025
229631955
366651955
083711955
01568
14156
215756
382753
4595453
0805353
01214
11910
23010
33910
44210
04210
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 185 to 127 computations (31.4% saved)

preprocess51.0ms (0.4%)

Remove

(negabs x)

Compiler

Compiled 162 to 116 computations (28.4% saved)

end0.0ms (0%)

Profiling

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