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

Time bar (total: 10.8s)

analyze355.0ms (3.3%)

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

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 81.0ms (47.7% of total)
ival-sin: 61.0ms (35.9% of total)
ival-div: 23.0ms (13.5% of total)
const: 4.0ms (2.4% of total)
backward-pass: 1.0ms (0.6% of total)

sample1.3s (12.5%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 800.0ms
ival-sin: 403.0ms (50.4% of total)
ival-div: 189.0ms (23.6% of total)
ival-mult: 187.0ms (23.4% of total)
const: 18.0ms (2.2% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess72.0ms (0.7%)

Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain393.0ms (3.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-1(2.0046025129959753e-159)(/.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)
0135(1.3078937201409949e+305)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
98.0ms512×0valid
Compiler

Compiled 127 to 35 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 27.0ms (56.8% of total)
ival-mult: 11.0ms (23.1% of total)
ival-div: 8.0ms (16.8% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.2%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶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
1×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
1×iter limit
1×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)

localize110.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.7%
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy75.4%
(/.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 #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))))
Results
81.0ms256×0valid
Compiler

Compiled 94 to 16 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 12.0ms (37.7% of total)
ival-mult: 8.0ms (25.1% of total)
...c/correct-round.rkt:119:19: 6.0ms (18.8% of total)
ival-div: 5.0ms (15.7% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

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
8.0ms
x
@-inf
(/ 8/3 (sin x))
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)

rewrite380.0ms (3.5%)

Algorithm
1×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
1×iter limit
1×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)))))
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(/.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1 binary64))
(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)))

simplify253.0ms (2.3%)

Algorithm
1×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
1×iter limit
1×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)

eval155.0ms (1.4%)

Compiler

Compiled 24333 to 1791 computations (92.6% saved)

prune145.0ms (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
55.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
99.4%
(/.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)))))
55.6%
(/.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))
▶55.7%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
55.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
55.3%
(/.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))
55.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -3/4 binary64))
55.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
24.6%
(/.f64 (*.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))))))) (sin.f64 x))
▶23.2%
(/.f64 (*.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))))))))))) (sin.f64 x))
24.2%
(/.f64 (*.f64 (*.f64 x #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
75.2%
(/.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))
24.6%
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
55.6%
(/.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)))))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
▶55.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
55.5%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
54.1%
(+.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)))))
55.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
▶99.6%
(*.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)))
75.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
55.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
55.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
48.2%
(*.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))))
99.2%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)))
52.8%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
47.9%
(*.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))))))))
47.9%
(*.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)))))))
47.9%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
75.3%
(*.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)))
▶48.1%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 844 to 608 computations (28% saved)

simplify157.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 x))
✓cost-diff6784
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64))
✓cost-diff6656
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
✓cost-diff0
(+.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))))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.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)))))))))))
✓cost-diff0
(/.f64 (*.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))))))))))) (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
1928×*-lowering-*.f32
1928×*-lowering-*.f64
1566×fma-define
1508×sum3-define
1506×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041258
199234
2255230
3710230
41854224
54418224
66475224
08196224
Stop Event
1×iter limit
1×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
(/ (* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))) (sin x))
(* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))))))
(* x x)
x
(+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))
2/3
(* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))))
(* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))
(+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))
-1/18
(* x (* x (+ 1/540 (* x (* x -1/30240)))))
(* x (+ 1/540 (* x (* x -1/30240))))
(+ 1/540 (* x (* x -1/30240)))
1/540
(* x (* x -1/30240))
(* x -1/30240)
-1/30240
(sin x)
(/ -1 (* (/ (sin x) (- 1 (cos x))) -3/4))
-1
(* (/ (sin x) (- 1 (cos x))) -3/4)
(/ (sin x) (- 1 (cos x)))
(sin x)
x
(- 1 (cos x))
1
(cos x)
-3/4
(/ (/ 1 (sin x)) (/ 3/8 (+ 1/2 (* (cos x) -1/2))))
(/ 1 (sin x))
1
(sin x)
x
(/ 3/8 (+ 1/2 (* (cos x) -1/2)))
3/8
(+ 1/2 (* (cos x) -1/2))
1/2
(* (cos x) -1/2)
(cos x)
-1/2
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
(/ (* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))) (sin x))
(*.f64 x (*.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x 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))))))))) (/.f64 x (sin.f64 x))))
(* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))))))
(* x x)
(*.f64 x x)
x
(+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x 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)))))))))
2/3
#s(literal 2/3 binary64)
(* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))))
(*.f64 (*.f64 x 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))))))))
(* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))
(*.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))))))))
(+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))
(+.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)))))))
-1/18
#s(literal -1/18 binary64)
(* x (* x (+ 1/540 (* x (* x -1/30240)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))))
(* x (+ 1/540 (* x (* x -1/30240))))
(*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64)))))
(+ 1/540 (* x (* x -1/30240)))
(+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64))))
1/540
#s(literal 1/540 binary64)
(* x (* x -1/30240))
(*.f64 x (*.f64 x #s(literal -1/30240 binary64)))
(* x -1/30240)
(*.f64 x #s(literal -1/30240 binary64))
-1/30240
#s(literal -1/30240 binary64)
(sin x)
(sin.f64 x)
(/ -1 (* (/ (sin x) (- 1 (cos x))) -3/4))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
-1
#s(literal -1 binary64)
(* (/ (sin x) (- 1 (cos x))) -3/4)
(/.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/ (sin x) (- 1 (cos x)))
(/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(sin x)
(sin.f64 x)
x
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
-3/4
#s(literal -3/4 binary64)
(/ (/ 1 (sin x)) (/ 3/8 (+ 1/2 (* (cos x) -1/2))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/ 1 (sin x))
(/.f64 #s(literal 1 binary64) (sin.f64 x))
1
#s(literal 1 binary64)
(sin x)
(sin.f64 x)
x
(/ 3/8 (+ 1/2 (* (cos x) -1/2)))
(/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
3/8
#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)
-1/2
#s(literal -1/2 binary64)

localize391.0ms (3.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 x))
✓accuracy99.7%
(/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))))
✓accuracy80.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
✓accuracy75.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
✓accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64)))
✓accuracy99.6%
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -3/4 binary64))
✓accuracy80.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy75.5%
(/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal -1/30240 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/540 binary64) (*.f64 x (*.f64 x #s(literal -1/30240 binary64)))))
✓accuracy99.3%
(*.f64 x #s(literal -1/30240 binary64))
✓accuracy75.7%
(/.f64 (*.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))))))))))) (sin.f64 x))
✓accuracy99.4%
(*.f64 #s(literal 2/3 binary64) x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.9%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))
✓accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))
✓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)))
Results
151.0ms66×2valid
97.0ms138×0valid
67.0ms52×1valid
Compiler

Compiled 287 to 42 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult: 37.0ms (23.4% of total)
ival-cos: 26.0ms (16.4% of total)
ival-sin: 23.0ms (14.5% of total)
ival-div: 22.0ms (13.9% of total)
backward-pass: 20.0ms (12.6% of total)
...c/correct-round.rkt:119:19: 19.0ms (12% of total)
ival-add: 8.0ms (5.1% of total)
ival-sub: 3.0ms (1.9% of total)
const: 2.0ms (1.3% of total)

series24.0ms (0.2%)

Counts
22 → 264
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 (/ (* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))) (sin x))>
#<alt (* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))))))>
#<alt (* x x)>
#<alt (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))>
#<alt (/ -1 (* (/ (sin x) (- 1 (cos x))) -3/4))>
#<alt (* (/ (sin x) (- 1 (cos x))) -3/4)>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (sin x)>
#<alt (/ (/ 1 (sin x)) (/ 3/8 (+ 1/2 (* (cos x) -1/2))))>
#<alt (/ 1 (sin x))>
#<alt (/ 3/8 (+ 1/2 (* (cos x) -1/2)))>
#<alt (/ (sin (/ x 2)) 3/8)>
#<alt (* x -1/30240)>
#<alt (* x (+ 1/540 (* x (* x -1/30240))))>
#<alt (* x (* x -1/30240))>
#<alt (- 1 (cos x))>
#<alt (+ 1/2 (* (cos x) -1/2))>
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 (* -1/30240 (/ (pow x 8) (sin x)))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))>
#<alt (* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))>
#<alt (* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))>
#<alt (* -1/30240 (/ (pow x 8) (sin x)))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))>
#<alt (* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))>
#<alt (* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (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 (* -1/30240 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* -1/30240 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<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>
#<alt (+ 2/3 (* -1/18 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))>
#<alt (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))>
#<alt (* -1/30240 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* -1/30240 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))>
#<alt (/ -3/2 x)>
#<alt (/ (- (* 1/8 (pow x 2)) 3/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (* -3/4 (/ (sin x) (- 1 (cos x))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt (/ (sin x) (- 1 (cos x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/6 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 1 (sin x))>
#<alt (/ 3/2 (pow x 2))>
#<alt (/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2))>
#<alt (/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos x))))>
#<alt (/ 3/8 (+ 1/2 (* -1/2 (cos 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 (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* -1/30240 x)>
#<alt (* 1/540 x)>
#<alt (* x (+ 1/540 (* -1/30240 (pow x 2))))>
#<alt (* x (+ 1/540 (* -1/30240 (pow x 2))))>
#<alt (* x (+ 1/540 (* -1/30240 (pow x 2))))>
#<alt (* -1/30240 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 3) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* (pow x 3) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))>
#<alt (* -1/30240 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<alt (* -1/30240 (pow x 2))>
#<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 (* 1/4 (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)))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (/ (sin x) (- 1 (cos x))) -3/4)
1.0ms
x
@inf
(/ (* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))) (sin x))
1.0ms
x
@inf
(/ (/ 1 (sin x)) (/ 3/8 (+ 1/2 (* (cos x) -1/2))))
1.0ms
x
@-inf
(/ (/ 1 (sin x)) (/ 3/8 (+ 1/2 (* (cos x) -1/2))))
1.0ms
x
@-inf
(/ -1 (* (/ (sin x) (- 1 (cos x))) -3/4))

rewrite434.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4784×*-lowering-*.f32
4784×*-lowering-*.f64
4592×/-lowering-/.f32
4592×/-lowering-/.f64
1938×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041173
1231146
21699145
08500145
Stop Event
1×iter limit
1×node limit
Counts
22 → 858
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)
(/ (* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))) (sin x))
(* (* x x) (+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240))))))))))
(* x x)
(+ 2/3 (* x (* x (+ -1/18 (* x (* x (+ 1/540 (* x (* x -1/30240)))))))))
(/ -1 (* (/ (sin x) (- 1 (cos x))) -3/4))
(* (/ (sin x) (- 1 (cos x))) -3/4)
(/ (sin x) (- 1 (cos x)))
(sin x)
(/ (/ 1 (sin x)) (/ 3/8 (+ 1/2 (* (cos x) -1/2))))
(/ 1 (sin x))
(/ 3/8 (+ 1/2 (* (cos x) -1/2)))
(/ (sin (/ x 2)) 3/8)
(* x -1/30240)
(* x (+ 1/540 (* x (* x -1/30240))))
(* x (* x -1/30240))
(- 1 (cos x))
(+ 1/2 (* (cos x) -1/2))
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 x #s(literal 2 binary64))))) (*.f64 (sin.f64 x) #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 (/.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 (neg.f64 (/.f64 (sin.f64 x) (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 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 3/8 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 1 binary64)) (neg.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 3/8 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 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (sin.f64 x) (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)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (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 x #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 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 1 binary64)) (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/8 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 (/.f64 (/.f64 #s(literal 3/8 binary64) (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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (*.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 x #s(literal 2 binary64)))))) (*.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 x #s(literal 2 binary64)))))) (*.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 (neg.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 (neg.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 x #s(literal 2 binary64)))))) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (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))) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 3/8 binary64) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.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 #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 3/8 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3/8 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.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 1 binary64) (-.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 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -3/8 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 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 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))) (neg.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))) #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)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 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 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 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 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (neg.f64 (/.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 -1 binary64)) (*.f64 #s(literal 3/8 binary64) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x))) #s(literal -3/8 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -3/8 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (neg.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 -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (*.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.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 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3/8 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.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)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (-.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))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (+.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 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) x))))) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 3 binary64)) #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 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))))
(pow.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 -1 binary64))
(pow.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 -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.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))))
(+.f64 #s(literal 1/2 binary64) (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 #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) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))
(/.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 1/4 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 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 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 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (+.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) (*.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 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.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 (*.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 #s(literal 1/2 binary64) (cos.f64 x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 x)) #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 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 6 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 1/4 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 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.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 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.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 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #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 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))

simplify325.0ms (3%)

Algorithm
1×egg-herbie
Rules
5930×+-lowering-+.f64
5930×+-lowering-+.f32
3112×*-lowering-*.f32
3112×*-lowering-*.f64
1872×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03082139
18651865
224391847
344761844
082181844
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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))))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (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))))
(* -1/30240 (pow x 8))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* -1/30240 (pow x 8))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(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
(+ 2/3 (* -1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))
(* -1/30240 (pow x 6))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* -1/30240 (pow x 6))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(* -3/4 (/ (sin x) (- 1 (cos x))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
(/ (sin x) (- 1 (cos x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ 1 x)
(/ (+ 1 (* 1/6 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x)
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 1 (sin x))
(/ 3/2 (pow x 2))
(/ (+ 3/2 (* 1/8 (pow x 2))) (pow x 2))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* 1/160 (pow x 2))))) (pow x 2))
(/ (+ 3/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/160 (* 1/4032 (pow x 2))))))) (pow x 2))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos x))))
(/ 3/8 (+ 1/2 (* -1/2 (cos 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)))
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* -1/30240 x)
(* 1/540 x)
(* x (+ 1/540 (* -1/30240 (pow x 2))))
(* x (+ 1/540 (* -1/30240 (pow x 2))))
(* x (+ 1/540 (* -1/30240 (pow x 2))))
(* -1/30240 (pow x 3))
(* (pow x 3) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 3) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* (pow x 3) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(* -1/30240 (pow x 3))
(* -1 (* (pow x 3) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/30240 (* 1/540 (/ 1 (pow x 2))))))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* -1/30240 (pow x 2))
(* 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))
(* 1/4 (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)))
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 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 5/768 binary64) (*.f64 (*.f64 x 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 x (*.f64 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 #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 x (*.f64 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))))))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(/.f64 (*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64))) (sin.f64 x))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 (sin.f64 x) x) x)) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 (sin.f64 x) x) x)) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 (sin.f64 x) x) x)) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 2/3 binary64) (*.f64 (sin.f64 x) (pow.f64 x #s(literal 6 binary64)))))))
(* -1/30240 (/ (pow x 8) (sin x)))
(/.f64 (*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64))) (sin.f64 x))
(* (pow x 8) (- (* 1/540 (/ 1 (* (pow x 2) (sin x)))) (* 1/30240 (/ 1 (sin x)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 (sin.f64 x) x) x)) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))))
(* (pow x 8) (- (/ 1/540 (* (pow x 2) (sin x))) (+ (/ 1/18 (* (pow x 4) (sin x))) (* 1/30240 (/ 1 (sin x))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 (sin.f64 x) x) x)) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 8) (- (+ (/ 1/540 (* (pow x 2) (sin x))) (* 2/3 (/ 1 (* (pow x 6) (sin x))))) (+ (* 1/30240 (/ 1 (sin x))) (* 1/18 (/ 1 (* (pow x 4) (sin x)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 (sin.f64 x) x) x)) (/.f64 #s(literal -1/30240 binary64) (sin.f64 x))) (+.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 (sin.f64 x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 2/3 binary64) (*.f64 (sin.f64 x) (pow.f64 x #s(literal 6 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 x (*.f64 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 (*.f64 x 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)))))))))
(* -1/30240 (pow x 8))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1/30240 (pow x 8))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))))
(* (pow x 8) (- (* 1/540 (/ 1 (pow x 2))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 8) (- (+ (* 1/540 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))) (+ 1/30240 (/ 1/18 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/540 binary64) (*.f64 x x))) (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* -1/18 (pow x 2)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))
(+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))
(+.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))))))
(+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x 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)))))))
(* -1/30240 (pow x 6))
(*.f64 #s(literal -1/30240 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/540 (/ 1 (pow x 2))) 1/30240))
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(* -1/30240 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/30240 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 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 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))
(* 1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 x x) (+.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))))
(*.f64 x (*.f64 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))))))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/80640 binary64))))))))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(+ 1/2 (* -1/2 (cos x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))

eval187.0ms (1.7%)

Compiler

Compiled 32196 to 3138 computations (90.3% saved)

prune152.0ms (1.4%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1219171236
Fresh21526
Picked415
Done000
Total1244231267
Accuracy
100.0%
Counts
1267 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
55.7%
(/.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))
55.6%
(/.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))
▶55.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
23.2%
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
23.2%
(/.f64 (*.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))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
23.4%
(/.f64 (*.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))))))))))) x)
75.2%
(/.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))
55.3%
(/.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) x))))) (*.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
99.5%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
▶48.1%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
▶48.7%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
48.7%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
48.9%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
48.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/15120 binary64))))))))) x) #s(literal -3/4 binary64)))
48.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
48.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
99.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
55.6%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
▶99.4%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓48.1%
(*.f64 #s(literal 2/3 binary64) x)
▶99.8%
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
Compiler

Compiled 698 to 527 computations (24.5% saved)

simplify158.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff6528
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 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 4/3 binary64))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
✓cost-diff0
(/.f64 #s(literal -3/2 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓cost-diff0
(/.f64 #s(literal -3/2 binary64) x)
✓cost-diff128
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
✓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))
✓cost-diff64
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
Rules
3020×sum5-define
2186×sum3-define
1870×fnmadd-define
1486×sum4-define
1372×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032161
175149
2187149
3422149
4720149
51253149
62471149
75092149
85386149
95431149
105515149
116531149
08055149
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg (/ (tan (/ x 2)) -3/4))
(/ (tan (/ x 2)) -3/4)
(tan (/ x 2))
(/ x 2)
x
2
-3/4
(/ -1 (/ -3/2 x))
-1
(/ -3/2 x)
-3/2
x
(/ -1 (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
-1
(+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))
(/ -3/2 x)
-3/2
x
(* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))
(+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))
1/8
(* (* x x) (+ 1/480 (* x (* x 1/20160))))
(* x x)
(+ 1/480 (* x (* x 1/20160)))
1/480
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(* (tan (/ x 2)) 4/3)
(tan (/ x 2))
(/ x 2)
x
2
4/3
(/ (- 1 (cos x)) (* (sin x) 3/4))
(- 1 (cos x))
1
(cos x)
x
(* (sin x) 3/4)
(sin x)
3/4
Outputs
(neg (/ (tan (/ x 2)) -3/4))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/ (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)
(/ -1 (/ -3/2 x))
(*.f64 x #s(literal 2/3 binary64))
-1
#s(literal -1 binary64)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
-3/2
#s(literal -3/2 binary64)
x
(/ -1 (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
-1
#s(literal -1 binary64)
(+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))
(+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
-3/2
#s(literal -3/2 binary64)
x
(* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
1/8
#s(literal 1/8 binary64)
(* (* x x) (+ 1/480 (* x (* x 1/20160))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/480 (* x (* x 1/20160)))
(+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
1/480
#s(literal 1/480 binary64)
(* x (* x 1/20160))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* (tan (/ x 2)) 4/3)
(/.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)
4/3
#s(literal 4/3 binary64)
(/ (- 1 (cos x)) (* (sin x) 3/4))
(/.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) 3/4)
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
(sin x)
(sin.f64 x)
3/4
#s(literal 3/4 binary64)

localize402.0ms (3.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy99.6%
(*.f64 (sin.f64 x) #s(literal 3/4 binary64))
✓accuracy80.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy75.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.4%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓accuracy100.0%
(/.f64 #s(literal -3/2 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 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
132.0ms138×0valid
91.0ms60×2valid
80.0ms47×1valid
41.0ms11×3valid
Compiler

Compiled 182 to 33 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-cos: 28.0ms (22.1% of total)
ival-mult: 19.0ms (15% of total)
ival-div: 18.0ms (14.2% of total)
backward-pass: 17.0ms (13.4% of total)
...c/correct-round.rkt:119:19: 15.0ms (11.8% of total)
ival-sin: 12.0ms (9.5% of total)
ival-tan: 7.0ms (5.5% of total)
ival-add: 5.0ms (3.9% of total)
ival-sub: 3.0ms (2.4% of total)
const: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)

series12.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (neg (/ (tan (/ x 2)) -3/4))>
#<alt (/ (tan (/ x 2)) -3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (/ -1 (/ -3/2 x))>
#<alt (/ -3/2 x)>
#<alt (/ -1 (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))>
#<alt (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))>
#<alt (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))>
#<alt (* (tan (/ x 2)) 4/3)>
#<alt (/ (- 1 (cos x)) (* (sin x) 3/4))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (* (sin x) 3/4)>
#<alt (* (* x x) (+ 1/480 (* x (* x 1/20160))))>
#<alt (* x (* x 1/20160))>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* -2/3 x)>
#<alt (* x (- (* -1/18 (pow x 2)) 2/3))>
#<alt (* x (- (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)) 2/3))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/30240 (pow x 2)) 1/180)) 1/18)) 2/3))>
#<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 (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 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 (/ -20160 (pow x 5))>
#<alt (/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))>
#<alt (/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))>
#<alt (/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -20160 (pow x 5))>
#<alt (* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))>
#<alt (/ -3/2 x)>
#<alt (/ (- (* 1/8 (pow x 2)) 3/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/480 (pow x 2))))>
#<alt (* x (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))))>
#<alt (* x (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 2/3 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 (* 1/480 (pow x 2))>
#<alt (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@0
(tan (/ x 2))
1.0ms
x
@inf
(neg (/ (tan (/ x 2)) -3/4))
1.0ms
x
@-inf
(neg (/ (tan (/ x 2)) -3/4))
1.0ms
x
@inf
(/ -1 (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
0.0ms
x
@-inf
(/ -1 (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))

rewrite435.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3528×/-lowering-/.f32
3528×/-lowering-/.f64
3378×*-lowering-*.f32
3378×*-lowering-*.f64
1968×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032109
1173100
2134899
0854599
Stop Event
1×iter limit
1×node limit
Counts
16 → 787
Calls
Call 1
Inputs
(neg (/ (tan (/ x 2)) -3/4))
(/ (tan (/ x 2)) -3/4)
(tan (/ x 2))
(/ x 2)
(/ -1 (/ -3/2 x))
(/ -3/2 x)
(/ -1 (+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
(+ (/ -3/2 x) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))
(* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))
(* (tan (/ x 2)) 4/3)
(/ (- 1 (cos x)) (* (sin x) 3/4))
(- 1 (cos x))
(cos x)
(* (sin x) 3/4)
(* (* x x) (+ 1/480 (* x (* x 1/20160))))
(* x (* x 1/20160))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (cos.f64 x))))
(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 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (/.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 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sin.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) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (cos.f64 x)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (cos.f64 x)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (cos.f64 x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (/.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 2 binary64)) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.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 #s(literal 0 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 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) (neg.f64 (-.f64 #s(literal 0 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 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) (-.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 (+.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (cos.f64 x))))) (-.f64 (pow.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 3 binary64)))))
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(*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) x)
(*.f64 (+.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 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 1/480 binary64))) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/480 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/480 binary64))) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/480 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/480 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/480 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x)

simplify325.0ms (3%)

Algorithm
1×egg-herbie
Rules
3826×*-lowering-*.f32
3826×*-lowering-*.f64
3484×+-lowering-+.f64
3484×+-lowering-+.f32
1650×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02151585
16461407
218551400
351231396
085371396
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* -2/3 x)
(* x (- (* -1/18 (pow x 2)) 2/3))
(* x (- (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)) 2/3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/30240 (pow x 2)) 1/180)) 1/18)) 2/3))
(* -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)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 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))))))))
(/ -20160 (pow x 5))
(/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))
(/ -20160 (pow x 5))
(* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(* 1/8 x)
(* x (+ 1/8 (* 1/480 (pow x 2))))
(* x (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))))
(* x (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 2/3 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))
(* 1/480 (pow x 2))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (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 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* x (- (* -1/18 (pow x 2)) 2/3))
(*.f64 x (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* x (- (* (pow x 2) (- (* -1/180 (pow x 2)) 1/18)) 2/3))
(*.f64 x (+.f64 #s(literal -2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/30240 (pow x 2)) 1/180)) 1/18)) 2/3))
(*.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))))))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* -4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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 (*.f64 x 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 x (*.f64 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)))
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(*.f64 x (*.f64 x #s(literal 1/480 binary64)))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))

eval286.0ms (2.6%)

Compiler

Compiled 27498 to 2216 computations (91.9% saved)

prune186.0ms (1.7%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New1076111087
Fresh9817
Picked145
Done011
Total1086241110
Accuracy
100.0%
Counts
1110 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
23.2%
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
75.2%
(/.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))
▶99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
99.7%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
▶99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
▶48.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
48.1%
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
23.1%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (-.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
48.0%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
✓48.1%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
✓48.7%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
48.7%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
48.9%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
▶48.6%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
48.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
48.1%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
99.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
55.6%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
99.2%
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 4/3 binary64))
✓99.4%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓48.1%
(*.f64 #s(literal 2/3 binary64) x)
▶48.4%
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
Compiler

Compiled 627 to 428 computations (31.7% saved)

simplify187.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓cost-diff128
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
✓cost-diff128
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓cost-diff128
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
✓cost-diff0
(/.f64 x #s(literal -3/2 binary64))
✓cost-diff64
(neg.f64 (/.f64 x #s(literal -3/2 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
2484×sum5-define
2164×fma-define
1802×sum4-define
1660×sum3-define
1650×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031154
176141
2180141
3470141
4904141
51538141
61710141
71854141
83313141
94875141
105485141
115816141
127257141
08198141
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
x
2
3/4
(neg (/ x -3/2))
(/ x -3/2)
x
-3/2
(/ 1 (/ (/ 1 x) 2/3))
1
(/ (/ 1 x) 2/3)
(/ 1 x)
x
2/3
(/ -1 (+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
-1
(+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))
(* (/ 1 x) -3/2)
(/ 1 x)
1
x
-3/2
(* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))
(+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))
1/8
(* (* x x) (+ 1/480 (* x (* x 1/20160))))
(* x x)
(+ 1/480 (* x (* x 1/20160)))
1/480
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(/ 4/3 (/ 1 (tan (/ x 2))))
4/3
(/ 1 (tan (/ x 2)))
1
(tan (/ x 2))
(/ x 2)
x
2
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)
(neg (/ x -3/2))
(/.f64 x #s(literal 3/2 binary64))
(/ x -3/2)
(/.f64 x #s(literal -3/2 binary64))
x
-3/2
#s(literal -3/2 binary64)
(/ 1 (/ (/ 1 x) 2/3))
(/.f64 x #s(literal 3/2 binary64))
1
#s(literal 1 binary64)
(/ (/ 1 x) 2/3)
(/.f64 #s(literal 3/2 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
2/3
#s(literal 2/3 binary64)
(/ -1 (+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
-1
#s(literal -1 binary64)
(+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))
(+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(* (/ 1 x) -3/2)
(/.f64 #s(literal -3/2 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-3/2
#s(literal -3/2 binary64)
(* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
1/8
#s(literal 1/8 binary64)
(* (* x x) (+ 1/480 (* x (* x 1/20160))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/480 (* x (* x 1/20160)))
(+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
1/480
#s(literal 1/480 binary64)
(* x (* x 1/20160))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(/ 4/3 (/ 1 (tan (/ x 2))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
4/3
#s(literal 4/3 binary64)
(/ 1 (tan (/ x 2)))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
1
#s(literal 1 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)

localize205.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy99.4%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64))
✓accuracy100.0%
(/.f64 x #s(literal -3/2 binary64))
✓accuracy100.0%
(neg.f64 (/.f64 x #s(literal -3/2 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
159.0ms256×0valid
Compiler

Compiled 186 to 32 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
...c/correct-round.rkt:119:19: 32.0ms (38.6% of total)
ival-mult: 22.0ms (26.5% of total)
ival-div: 16.0ms (19.3% of total)
ival-tan: 6.0ms (7.2% of total)
ival-add: 4.0ms (4.8% of total)
const: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (neg (/ x -3/2))>
#<alt (/ x -3/2)>
#<alt (/ 1 (/ (/ 1 x) 2/3))>
#<alt (/ (/ 1 x) 2/3)>
#<alt (/ 1 x)>
#<alt (/ -1 (+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))>
#<alt (+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))>
#<alt (* (/ 1 x) -3/2)>
#<alt (/ 4/3 (/ 1 (tan (/ x 2))))>
#<alt (/ 1 (tan (/ x 2)))>
#<alt (* (* x x) (+ 1/480 (* x (* x 1/20160))))>
#<alt (* x (* x 1/20160))>
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 (* -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 (* 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 (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 3/2 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 (/ -20160 (pow x 5))>
#<alt (/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))>
#<alt (/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))>
#<alt (/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))>
#<alt (/ -20160 (pow x 5))>
#<alt (* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))>
#<alt (* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))>
#<alt (/ -3/2 x)>
#<alt (/ (- (* 1/8 (pow x 2)) 3/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))>
#<alt (* 1/20160 (pow x 5))>
#<alt (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (/ -3/2 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/6 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))>
#<alt (* 1/480 (pow x 2))>
#<alt (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
Calls

45 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ 1 (tan (/ x 2)))
0.0ms
x
@inf
(/ 1 (tan (/ x 2)))
0.0ms
x
@inf
(neg (/ x -3/2))
0.0ms
x
@0
(/ (/ 1 x) 2/3)
0.0ms
x
@0
(neg (/ x -3/2))

rewrite413.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3698×*-lowering-*.f32
3698×*-lowering-*.f64
2696×/-lowering-/.f32
2696×/-lowering-/.f64
2248×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03191
118283
2121082
0828482
Stop Event
1×iter limit
1×node limit
Counts
15 → 514
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(neg (/ x -3/2))
(/ x -3/2)
(/ 1 (/ (/ 1 x) 2/3))
(/ (/ 1 x) 2/3)
(/ 1 x)
(/ -1 (+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160))))))))
(+ (* (/ 1 x) -3/2) (* x (+ 1/8 (* (* x x) (+ 1/480 (* x (* x 1/20160)))))))
(* (/ 1 x) -3/2)
(/ 4/3 (/ 1 (tan (/ x 2))))
(/ 1 (tan (/ x 2)))
(* (* x x) (+ 1/480 (* x (* x 1/20160))))
(* x (* x 1/20160))
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)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.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) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.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) (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 (-.f64 #s(literal 0 binary64) (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 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 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 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (/.f64 x #s(literal -3/2 binary64))))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(neg.f64 (/.f64 (/.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 (/.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64)))))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3/2 binary64))
(/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -27/8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64)))) (/.f64 x #s(literal 3/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal 3/2 binary64))))))
(pow.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
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(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
(*.f64 (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) x)
(*.f64 (+.f64 (*.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/480 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/480 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/480 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/480 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/110592000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/20160 binary64))) #s(literal -1/480 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/406425600 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal -1/20160 binary64))))))
(/.f64 (*.f64 x #s(literal 1/20160 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x)

simplify264.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2740×*-lowering-*.f32
2740×*-lowering-*.f64
2376×+-lowering-+.f64
2376×+-lowering-+.f32
2272×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01581244
14491129
213231124
337581121
478701121
084581121
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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)
(* -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)
(* 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)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 3/2 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))))))))
(/ -20160 (pow x 5))
(/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))
(/ -20160 (pow x 5))
(* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))
(* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))
(/ -3/2 x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(* 1/20160 (pow x 5))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(/ -3/2 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(* 1/480 (pow x 2))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (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 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 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x 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 x (*.f64 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 (*.f64 x 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 x (*.f64 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)
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 binary64))
(* -2/3 x)
(*.f64 x #s(literal -2/3 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)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 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 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64))))))))
(/ -20160 (pow x 5))
(/.f64 #s(literal -20160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (* 846720 (/ 1 (pow x 2))) 20160) (pow x 5))
(/.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) 20160) (pow x 5))
(/.f64 (+.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (/.f64 #s(literal 15240960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4))) (+ 20160 (* 3383493120 (/ 1 (pow x 6))))) (pow x 5))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (/.f64 #s(literal 15240960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3383493120 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ -20160 (pow x 5))
(/.f64 #s(literal -20160 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (/ (- 20160 (* 846720 (/ 1 (pow x 2)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (/ (+ 20160 (* -1 (/ (+ 846720 (* 15240960 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -20160 binary64) (/.f64 (+.f64 #s(literal 846720 binary64) (/.f64 #s(literal 15240960 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (/ (- (+ 20160 (* 3383493120 (/ 1 (pow x 6)))) (+ (* 846720 (/ 1 (pow x 2))) (/ 15240960 (pow x 4)))) (pow x 5)))
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal -20160 binary64) (/.f64 #s(literal 846720 binary64) (*.f64 x x))) (/.f64 #s(literal 15240960 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3383493120 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ (- (* 1/8 (pow x 2)) 3/2) x)
(+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64)))
(/ (- (* (pow x 2) (+ 1/8 (* 1/480 (pow x 2)))) 3/2) x)
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/480 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -3/2 binary64) x))
(/ (- (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2)))))) 3/2) x)
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (/.f64 #s(literal -3/2 binary64) x))
(* 1/20160 (pow x 5))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))))
(* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 x x)))))
(* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 x x))))))
(* 1/20160 (pow x 5))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/20160 binary64))
(* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (+.f64 #s(literal 1/480 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 x x))))))
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 binary64) x)
(/ -3/2 x)
(/.f64 #s(literal -3/2 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 (*.f64 x x) (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x 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))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/360 binary64))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/15120 binary64)))))))) x)
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/480 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/480 binary64))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 2) (+ 1/480 (* 1/20160 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/480 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))

eval243.0ms (2.3%)

Compiler

Compiled 21326 to 1894 computations (91.1% saved)

prune102.0ms (0.9%)

Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New7869795
Fresh31114
Picked145
Done055
Total79029819
Accuracy
100.0%
Counts
819 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.6%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
23.9%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 x #s(literal -3/2 binary64)))
23.2%
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
75.2%
(/.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))
✓99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
99.7%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
48.4%
(/.f64 x #s(literal 3/2 binary64))
48.8%
(/.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
48.1%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
✓99.3%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
23.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64)))))
✓48.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
48.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
48.0%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
✓48.1%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
24.4%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/2 binary64) x))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓48.7%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
48.7%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
48.9%
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
✓48.6%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
48.6%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/480 binary64))))))
48.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
99.4%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
55.6%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
23.9%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 #s(literal -3/2 binary64) x))
99.2%
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 4/3 binary64))
✓99.4%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓48.1%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 1334 to 556 computations (58.3% saved)

regimes47.0ms (0.4%)

Counts
70 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/480 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/15120 binary64))))))))) x) #s(literal -3/4 binary64)))
(/.f64 (*.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))))))))))) x)
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/2 binary64) x))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 (*.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))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (-.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 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))
(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 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(/.f64 (*.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))))))) (sin.f64 x))
(/.f64 (*.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))))))))))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 3/4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(/.f64 #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 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 4/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.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 (+.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 x #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 4/3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -3/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(/.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 #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 (*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sin.f64 x))
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 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 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 x)) #s(literal 8/3 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 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (sin.f64 x) #s(literal -3/4 binary64)) (+.f64 #s(literal 1 binary64) (cos.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)))))
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

20.0ms
x
19.0ms
(/.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)

regimes12.0ms (0.1%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/480 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/15120 binary64))))))))) x) #s(literal -3/4 binary64)))
(/.f64 (*.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))))))))))) x)
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/2 binary64) x))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 (*.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))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (-.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/480 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/15120 binary64))))))))) x) #s(literal -3/4 binary64)))
(/.f64 (*.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))))))))))) x)
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/2 binary64) x))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 (*.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))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (-.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Outputs
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
52.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -3/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4/9 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x #s(literal 1/480 binary64)))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/480 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 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal -1/15120 binary64))))))))) x) #s(literal -3/4 binary64)))
(/.f64 (*.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))))))))))) x)
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 9/4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/2 binary64) x))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(/.f64 (*.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))))))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))
(/.f64 (*.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))))))))))) (*.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 x (*.f64 x #s(literal -1/5040 binary64))))))))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (-.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/480 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
Outputs
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
48.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) x))
(/.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
Outputs
(/.f64 x #s(literal 3/2 binary64))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
48.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (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
48.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02333
12933
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 2/3 binary64) x)
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/2 binary64) x) (*.f64 x #s(literal 1/8 binary64))))
(/.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))

soundness2.4s (22.7%)

Rules
5930×+-lowering-+.f64
5930×+-lowering-+.f32
4784×*-lowering-*.f32
4784×*-lowering-*.f64
4592×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03082139
18651865
224391847
344761844
082181844
01214
11910
23010
33910
44210
04210
0145850
1415734
21201731
33832731
44903731
56263731
66791731
77270731
08135731
032109
1173100
2134899
0854599
041173
1231146
21699145
08500145
01568
14156
215756
382753
4595453
0805353
03191
118283
2121082
0828482
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 186 to 129 computations (30.6% saved)

preprocess98.0ms (0.9%)

Remove

(negabs x)

Compiler

Compiled 178 to 126 computations (29.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...