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

Time bar (total: 10.0s)

analyze248.0ms (2.5%)

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: 131.0ms
ival-mult: 72.0ms (55.1% of total)
ival-sin: 27.0ms (20.7% of total)
ival-div: 26.0ms (19.9% of total)
const: 4.0ms (3.1% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.3s (13.4%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 789.0ms
ival-sin: 396.0ms (50.2% of total)
ival-div: 194.0ms (24.6% of total)
ival-mult: 175.0ms (22.2% of total)
const: 18.0ms (2.3% of total)
backward-pass: 6.0ms (0.8% of total)
Bogosity

preprocess70.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02045
14643
211242
332742
4104842
5222842
6292242
7320842
8342142
9348542
10357342
11431142
12434342
01214
11914
22914
33814
44114
04114
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))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
(/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x)))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x -1/2)) (sin x))))
(neg (/ (* (* (/ 8 3) (sin (* (neg x) 1/2))) (sin (* (neg x) 1/2))) (sin (neg x))))
(* (sin (* x 1/2)) (* 8/3 (/ (sin (* x 1/2)) (sin x))))
Symmetry

(negabs x)

explain126.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
590-5(6.379054634104351e-161)(/.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)
0133(4.409880430684809e+229)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
82.0ms512×0valid
Compiler

Compiled 127 to 35 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sin: 25.0ms (51.6% of total)
ival-mult: 10.0ms (20.6% of total)
ival-div: 8.0ms (16.5% of total)
const: 5.0ms (10.3% 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
▶78.7%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
▶99.3%
(*.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: 0 (0.0ms)

IterNodesCost
01584
12784
23684
34284
04284
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)

localize101.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy78.9%
(/.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))))
✓accuracy99.5%
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
✓accuracy99.5%
(/.f64 #s(literal 8/3 binary64) (sin.f64 x))
Results
73.0ms256×0valid
Compiler

Compiled 94 to 16 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 14.0ms (43% of total)
ival-mult: 8.0ms (24.6% of total)
ival-div: 5.0ms (15.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.3% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
10 → 108
Calls
Call 1
Inputs
#<alt (* (sin (* x 1/2)) (* (sin (* x 1/2)) (/ 8/3 (sin x))))>
#<alt (sin (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* (sin (* x 1/2)) (/ 8/3 (sin x)))>
#<alt (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x))>
#<alt (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2)))>
#<alt (* (/ 8 3) (sin (* x 1/2)))>
#<alt (/ 8 3)>
#<alt (/ 8/3 (sin x))>
#<alt (sin x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (sin (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 4/3>
#<alt (+ 4/3 (* 1/6 (pow x 2)))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))>
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))>
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (* 8/3 (sin (* 1/2 x)))>
#<alt (/ 8/3 x)>
#<alt (/ (+ 8/3 (* 4/9 (pow x 2))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x)>
#<alt (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x)>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt (/ 8/3 (sin x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

27 calls:

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

rewrite454.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3074×*-lowering-*.f32
3074×*-lowering-*.f64
2454×/-lowering-/.f32
2454×/-lowering-/.f64
2304×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01568
14159
215659
383053
4594647
0896747
Stop Event
1×iter limit
1×node limit
Counts
10 → 902
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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) #s(literal 3/8 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
(+.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) #s(literal -3/8 binary64)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))))
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(+.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)))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64))) (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 0 binary64)))))
(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 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))

simplify262.0ms (2.6%)

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
1415810
21199804
33806804
44877804
56220804
66749804
77228804
08093804
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 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))))))))
(* 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 (*.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 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 x (*.f64 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 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))))))))
(* 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 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 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/18 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64)))))))))
(* 8/3 (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 x (*.f64 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 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 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)

eval167.0ms (1.7%)

Compiler

Compiled 24005 to 1802 computations (92.5% saved)

prune132.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1171131184
Fresh000
Picked202
Done000
Total1173131186
Accuracy
100.0%
Counts
1186 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
54.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
▶54.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶78.5%
(/.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))
99.4%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
54.2%
(-.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
54.3%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
▶99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
48.5%
(*.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))))))
48.5%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
▶48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 278 to 204 computations (26.6% saved)

simplify222.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓cost-diff0
(/.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))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓cost-diff6528
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 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 4/3 binary64))
✓cost-diff0
(*.f64 #s(literal 2/3 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))
Rules
1962×fnmadd-define
1788×fma-define
1234×fmsub-define
1186×fnmsub-define
1132×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02398
13798
25998
39797
417097
529997
654897
7100897
8249597
9338997
10413497
11449697
12484697
13506997
14534397
15580897
16657897
17665597
18673097
19725497
20728697
21728697
0728697
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
x
2
3/4
(* 2/3 x)
2/3
x
(* (tan (/ x 2)) 4/3)
(tan (/ x 2))
(/ x 2)
x
2
4/3
(/ (* (- 1 (cos x)) 4/3) (sin x))
(* (- 1 (cos x)) 4/3)
(- 1 (cos x))
1
(cos x)
x
4/3
(sin x)
(/ (* 8/3 (pow (sin (* x 1/2)) 2)) (sin x))
(* 8/3 (pow (sin (* x 1/2)) 2))
8/3
(pow (sin (* x 1/2)) 2)
(sin (* x 1/2))
(* x 1/2)
x
1/2
2
(sin x)
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)
(* 2/3 x)
(*.f64 x #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
x
(* (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)) 4/3) (sin x))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(* (- 1 (cos x)) 4/3)
(+.f64 #s(literal 4/3 binary64) (/.f64 (cos.f64 x) #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
4/3
#s(literal 4/3 binary64)
(sin x)
(sin.f64 x)
(/ (* 8/3 (pow (sin (* x 1/2)) 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 (* x 1/2)) 2))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
8/3
#s(literal 8/3 binary64)
(pow (sin (* x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 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)
2
#s(literal 2 binary64)
(sin x)
(sin.f64 x)

localize279.0ms (2.8%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
✓accuracy99.5%
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
✓accuracy78.9%
(/.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))
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
✓accuracy78.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓accuracy76.1%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓accuracy99.5%
(*.f64 #s(literal 2/3 binary64) x)
✓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
123.0ms56×2valid
53.0ms136×0valid
38.0ms64×1valid
Compiler

Compiled 103 to 24 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-cos: 76.0ms (45.2% of total)
ival-div: 28.0ms (16.7% of total)
...c/correct-round.rkt:119:19: 15.0ms (8.9% of total)
ival-mult: 13.0ms (7.7% of total)
ival-sin: 13.0ms (7.7% of total)
backward-pass: 8.0ms (4.8% of total)
ival-tan: 7.0ms (4.2% of total)
ival-pow: 4.0ms (2.4% of total)
ival-sub: 3.0ms (1.8% of total)
const: 1.0ms (0.6% of total)

series10.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ (tan (/ x 2)) 3/4)>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* 2/3 x)>
#<alt (* (tan (/ x 2)) 4/3)>
#<alt (/ (* (- 1 (cos x)) 4/3) (sin x))>
#<alt (* (- 1 (cos x)) 4/3)>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (/ (* 8/3 (pow (sin (* x 1/2)) 2)) (sin x))>
#<alt (* 8/3 (pow (sin (* x 1/2)) 2))>
#<alt (pow (sin (* x 1/2)) 2)>
#<alt (sin (* x 1/2))>
#<alt (sin x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 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 (* 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 (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 4/3 (- 1 (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 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 (* 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 (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<alt (pow (sin (* 1/2 x)) 2)>
#<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 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

42 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (* (- 1 (cos x)) 4/3) (sin x))
1.0ms
x
@-inf
(/ (* (- 1 (cos x)) 4/3) (sin x))
1.0ms
x
@inf
(/ (tan (/ x 2)) 3/4)
1.0ms
x
@-inf
(/ (tan (/ x 2)) 3/4)
0.0ms
x
@inf
(* (- 1 (cos x)) 4/3)

rewrite340.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
2950×*-lowering-*.f32
2950×*-lowering-*.f64
1574×/-lowering-/.f32
1574×/-lowering-/.f64
1572×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02371
18671
240771
3355067
0861167
Stop Event
1×iter limit
1×node limit
Counts
14 → 998
Calls
Call 1
Inputs
(/ (tan (/ x 2)) 3/4)
(tan (/ x 2))
(/ x 2)
(* 2/3 x)
(* (tan (/ x 2)) 4/3)
(/ (* (- 1 (cos x)) 4/3) (sin x))
(* (- 1 (cos x)) 4/3)
(- 1 (cos x))
(cos x)
(/ (* 8/3 (pow (sin (* x 1/2)) 2)) (sin x))
(* 8/3 (pow (sin (* x 1/2)) 2))
(pow (sin (* x 1/2)) 2)
(sin (* x 1/2))
(sin x)
Outputs
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(+.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 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 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 4/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal -4/3 binary64) (cos.f64 x))))
(fma.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(fma.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x))))
(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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 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 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -3/4 binary64) (-.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 -3/4 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #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 x #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (sin.f64 x) #s(literal 4/3 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64)))
(/.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -4/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.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 0 binary64) (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) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 #s(literal -4/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.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 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (+.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)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) #s(literal 4/3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -4/3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -4/3 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (+.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)))))) #s(literal 4/3 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (sin.f64 x)))
(/.f64 (*.f64 (+.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)))))) #s(literal -4/3 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4/3 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) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (cos.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64))
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal -2 binary64)))))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))))
(neg.f64 (sin.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))))
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(+.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 #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)) (*.f64 #s(literal 1 binary64) (sin.f64 (-.f64 #s(literal 0 binary64) x))))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(neg.f64 (sin.f64 (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (sin.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)))))
(neg.f64 (sin.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))

simplify272.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4024×+-lowering-+.f64
4024×+-lowering-+.f32
3638×*-lowering-*.f32
3638×*-lowering-*.f64
1934×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671296
15001238
214531232
346921224
460911224
080571224
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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)
(* 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)))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 4/3 (- 1 (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 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))
(* 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))))
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(pow (sin (* 1/2 x)) 2)
(* 1/2 x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(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))
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 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 1/2 x)
(/.f64 x #s(literal 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 x (*.f64 x #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.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 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #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 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64)))))))))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 4/3 (- 1 (cos x)))
(-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 4/3 binary64) (cos.f64 x)))
(* 1/2 (pow x 2))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.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
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* 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 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) #s(literal 17/30240 binary64)))))))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(* 2/3 (pow x 2))
(*.f64 #s(literal 2/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal 1/540 binary64) (*.f64 (*.f64 x 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 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 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 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 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 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 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 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 2 binary64))) #s(literal 2 binary64)))
(* 1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x 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 x (*.f64 x (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/1440 binary64) (*.f64 (*.f64 x x) #s(literal -1/80640 binary64))))))))))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x #s(literal 1/3840 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(sin (* 1/2 x))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 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)

eval333.0ms (3.3%)

Compiler

Compiled 23769 to 2247 computations (90.5% saved)

prune157.0ms (1.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New133931342
Fresh448
Picked145
Done000
Total1344111355
Accuracy
100.0%
Counts
1355 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
▶48.9%
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
▶99.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
54.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓54.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
98.7%
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
✓99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
▶48.5%
(*.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))))))
▶48.5%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 178 to 133 computations (25.3% saved)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
✓cost-diff0
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 1/18 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
✓cost-diff0
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff128
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
✓cost-diff0
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
Rules
274×fma-define
232×fma-lowering-fma.f32
232×fma-lowering-fma.f64
164×*-lowering-*.f32
164×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028156
171147
2166146
3308146
4381146
5400146
0400146
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))
(/ (sin (/ x 2)) 3/4)
(sin (/ x 2))
(/ x 2)
x
2
3/4
(cos (/ x 2))
(/ (/ x 2) 3/4)
(/ x 2)
x
2
3/4
(* x (+ 2/3 (* x (* x 1/18))))
x
(+ 2/3 (* x (* x 1/18)))
2/3
(* x (* x 1/18))
(* x 1/18)
1/18
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
x
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
2/3
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(* x x)
(+ 1/18 (* (* x x) 1/180))
1/18
(* (* x x) 1/180)
1/180
(/ (/ 1 (/ 3/8 (tan (/ x 2)))) 2)
(/ 1 (/ 3/8 (tan (/ x 2))))
1
(/ 3/8 (tan (/ x 2)))
3/8
(tan (/ x 2))
(/ x 2)
x
2
Outputs
(/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/ (sin (/ x 2)) 3/4)
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(sin (/ x 2))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(cos (/ x 2))
(cos.f64 (/.f64 x #s(literal 2 binary64)))
(/ (/ x 2) 3/4)
(/.f64 x #s(literal 3/2 binary64))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
3/4
#s(literal 3/4 binary64)
(* x (+ 2/3 (* x (* x 1/18))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))
x
(+ 2/3 (* x (* x 1/18)))
(+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))
2/3
#s(literal 2/3 binary64)
(* x (* x 1/18))
(*.f64 #s(literal 1/18 binary64) (*.f64 x x))
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
1/18
#s(literal 1/18 binary64)
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))))
x
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))
2/3
#s(literal 2/3 binary64)
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/18 (* (* x x) 1/180))
(+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))
1/18
#s(literal 1/18 binary64)
(* (* x x) 1/180)
(*.f64 x (*.f64 x #s(literal 1/180 binary64)))
1/180
#s(literal 1/180 binary64)
(/ (/ 1 (/ 3/8 (tan (/ x 2)))) 2)
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ 1 (/ 3/8 (tan (/ x 2))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 8/3 binary64))
1
#s(literal 1 binary64)
(/ 3/8 (tan (/ x 2)))
(/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
3/8
#s(literal 3/8 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)

localize194.0ms (1.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
✓accuracy99.5%
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/18 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
✓accuracy100.0%
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(sin.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(cos.f64 (/.f64 x #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
✓accuracy99.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
Results
151.0ms256×0valid
Compiler

Compiled 164 to 29 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 35.0ms (41% of total)
ival-div: 12.0ms (14.1% of total)
ival-sin: 12.0ms (14.1% of total)
...c/correct-round.rkt:119:19: 10.0ms (11.7% of total)
ival-tan: 6.0ms (7% of total)
ival-cos: 5.0ms (5.9% of total)
ival-add: 3.0ms (3.5% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))>
#<alt (/ (sin (/ x 2)) 3/4)>
#<alt (sin (/ x 2))>
#<alt (/ x 2)>
#<alt (/ (/ x 2) 3/4)>
#<alt (* x (+ 2/3 (* x (* x 1/18))))>
#<alt (+ 2/3 (* x (* x 1/18)))>
#<alt (* x (* x 1/18))>
#<alt (* x 1/18)>
#<alt (* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))>
#<alt (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))>
#<alt (* (* x x) (+ 1/18 (* (* x x) 1/180)))>
#<alt (* x x)>
#<alt (/ (/ 1 (/ 3/8 (tan (/ x 2)))) 2)>
#<alt (/ 1 (/ 3/8 (tan (/ x 2))))>
#<alt (/ 3/8 (tan (/ x 2)))>
#<alt (tan (/ x 2))>
#<alt (cos (/ x 2))>
#<alt (* (* x x) 1/180)>
#<alt (+ 1/18 (* (* x x) 1/180))>
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 (+ 2/3 (* -1/36 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))>
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 4/3 (sin (* 1/2 x)))>
#<alt (* 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 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 3))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 (pow x 2))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* 1/180 (pow x 5))>
#<alt (* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* 1/180 (pow x 5))>
#<alt (* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))>
#<alt 2/3>
#<alt (+ 2/3 (* 1/18 (pow x 2)))>
#<alt (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))>
#<alt (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))>
#<alt (* 1/18 (pow x 2))>
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/180 (pow x 4))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 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 (* 4/3 x)>
#<alt (* x (+ 4/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (+ 1/9 (* 1/90 (pow x 2))))))>
#<alt (* x (+ 4/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/90 (* 17/15120 (pow x 2))))))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 3/4 x)>
#<alt (/ (+ 3/4 (* -1/16 (pow x 2))) x)>
#<alt (/ (+ 3/4 (* (pow x 2) (- (* -1/960 (pow x 2)) 1/16))) x)>
#<alt (/ (+ 3/4 (* (pow x 2) (- (* (pow x 2) (- (* -1/40320 (pow x 2)) 1/960)) 1/16))) x)>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/8 (/ (cos (* 1/2 x)) (sin (* 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>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (cos (* 1/2 x))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt (* 1/180 (pow x 2))>
#<alt 1/18>
#<alt (+ 1/18 (* 1/180 (pow x 2)))>
#<alt (+ 1/18 (* 1/180 (pow x 2)))>
#<alt (+ 1/18 (* 1/180 (pow x 2)))>
#<alt (* 1/180 (pow x 2))>
#<alt (* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* 1/180 (pow x 2))>
#<alt (* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x (+ 2/3 (* x (* x 1/18))))
1.0ms
x
@inf
(* x (+ 2/3 (* x (* x 1/18))))
1.0ms
x
@inf
(/ 3/8 (tan (/ x 2)))
0.0ms
x
@-inf
(/ 3/8 (tan (/ x 2)))
0.0ms
x
@inf
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))

rewrite607.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
4772×*-lowering-*.f32
4772×*-lowering-*.f64
2828×/-lowering-/.f32
2828×/-lowering-/.f64
1792×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028136
1163118
21120118
08605118
Stop Event
1×iter limit
1×node limit
Counts
20 → 610
Calls
Call 1
Inputs
(/ (/ (sin (/ x 2)) 3/4) (cos (/ x 2)))
(/ (sin (/ x 2)) 3/4)
(sin (/ x 2))
(/ x 2)
(/ (/ x 2) 3/4)
(* x (+ 2/3 (* x (* x 1/18))))
(+ 2/3 (* x (* x 1/18)))
(* x (* x 1/18))
(* x 1/18)
(* x (+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180)))))
(+ 2/3 (* (* x x) (+ 1/18 (* (* x x) 1/180))))
(* (* x x) (+ 1/18 (* (* x x) 1/180)))
(* x x)
(/ (/ 1 (/ 3/8 (tan (/ x 2)))) 2)
(/ 1 (/ 3/8 (tan (/ x 2))))
(/ 3/8 (tan (/ x 2)))
(tan (/ x 2))
(cos (/ x 2))
(* (* x x) 1/180)
(+ 1/18 (* (* x x) 1/180))
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 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/8 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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.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) (*.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 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) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) (-.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 -3/4 binary64))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(pow.f64 (/.f64 #s(literal 3/4 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) (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 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 -4/3 binary64))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 4/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 #s(literal 8/3 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -4/3 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -4/3 binary64))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) (cos.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 4/3 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)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -4/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4/3 binary64)) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -3/4 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(*.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 4/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -4/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(sin.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 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)))
(/.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))
(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 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(*.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -3/4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -3/2 binary64)))
(neg.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -3/4 binary64)))
(neg.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 4/3 binary64)))
(neg.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 x #s(literal -3/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -3/4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 x #s(literal 3/2 binary64))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/3 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -3/4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3/2 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 x #s(literal 4/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/3 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4/3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2/3 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 4/3 binary64))
(*.f64 #s(literal 2/3 binary64) x)
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(*.f64 (+.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/3240 binary64))))))
(*.f64 (+.f64 #s(literal 1/5832 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) x)) (+.f64 #s(literal 1/324 binary64) (*.f64 #s(literal -1/3240 binary64) (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1/324 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/32400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832000 binary64)))) #s(literal -1/5832 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/3240 binary64)))) #s(literal -1/324 binary64))))
(*.f64 (+.f64 #s(literal -1/324 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/32400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) x)) #s(literal -1/324 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/180 binary64)) #s(literal -1/18 binary64))))

simplify358.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
3388×*-lowering-*.f32
3388×*-lowering-*.f64
3054×+-lowering-+.f64
3054×+-lowering-+.f32
1596×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01811787
15281701
215241699
341221686
464361686
080131686
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 2/3 x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(* 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 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* 1/18 (pow x 2)))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 (pow x 2))
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 1/18 x)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 5))
(* (pow x 5) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 2))) 1/180)))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/180 (+ (/ 2/3 (pow x 4)) (* 1/18 (/ 1 (pow x 2))))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 1/180 (pow x 4))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 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))))
(* 4/3 x)
(* x (+ 4/3 (* 1/9 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (+ 1/9 (* 1/90 (pow x 2))))))
(* x (+ 4/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/90 (* 17/15120 (pow x 2))))))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ 3/4 x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(/ (+ 3/4 (* (pow x 2) (- (* -1/960 (pow x 2)) 1/16))) x)
(/ (+ 3/4 (* (pow x 2) (- (* (pow x 2) (- (* -1/40320 (pow x 2)) 1/960)) 1/16))) x)
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/8 (/ (cos (* 1/2 x)) (sin (* 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
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(cos (* 1/2 x))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
(* 1/180 (pow x 2))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* 1/180 (pow x 2)))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* 1/180 (pow x 2))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 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 (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 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/36 binary64))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/2880 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2880 binary64) (*.f64 x (*.f64 x #s(literal -1/483840 binary64)))))))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 4/3 (sin (* 1/2 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 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 (*.f64 x x) #s(literal -1/48 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/3840 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3840 binary64) (*.f64 (*.f64 x x) #s(literal -1/645120 binary64))))))))
(sin (* 1/2 x))
(sin.f64 (*.f64 x #s(literal 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))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
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(/.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
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/384 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 x x) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos (* 1/2 x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(+ 1/18 (* 1/180 (pow x 2)))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(+ 1/18 (* 1/180 (pow x 2)))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* 1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/180 binary64))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 2) (+ 1/180 (* 1/18 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))

eval123.0ms (1.2%)

Compiler

Compiled 18615 to 2008 computations (89.2% saved)

prune128.0ms (1.3%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New9439952
Fresh022
Picked235
Done044
Total94518963
Accuracy
100.0%
Counts
963 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
▶49.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)) #s(literal 2 binary64))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64))) #s(literal 2 binary64))
54.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
✓54.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
48.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))))
▶48.9%
(/.f64 x #s(literal 3/2 binary64))
▶48.6%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
▶48.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
48.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
48.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
98.7%
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
✓99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓48.5%
(*.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))))))
✓48.5%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 266 to 210 computations (21.1% saved)

simplify320.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff128
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff128
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
✓cost-diff0
(/.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 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
Rules
5970×*-lowering-*.f32
5970×*-lowering-*.f64
2164×cube-prod
2030×/-lowering-/.f32
2030×/-lowering-/.f64
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
022103
14496
27295
310394
418293
523993
625893
729393
842392
961792
1099992
11317192
12350092
13404191
14484191
15572091
16701791
17733191
18752091
19765491
20777991
21790491
0838991
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 3/4 (tan (/ x 2))))
1
(/ 3/4 (tan (/ x 2)))
3/4
(tan (/ x 2))
(/ x 2)
x
2
(/ x 3/2)
x
3/2
(/ 4/3 (/ 2 x))
4/3
(/ 2 x)
2
x
(/ 1 (/ (/ 2 x) 4/3))
1
(/ (/ 2 x) 4/3)
(/ 2 x)
2
x
4/3
(/ (/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x)) 2)
(/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x))
1
(/ (+ 3/4 (* (* x x) -1/16)) x)
(+ 3/4 (* (* x x) -1/16))
3/4
(* (* x x) -1/16)
(* x x)
x
-1/16
2
Outputs
(/ 1 (/ 3/4 (tan (/ x 2))))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
1
#s(literal 1 binary64)
(/ 3/4 (tan (/ x 2)))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
3/4
#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)
(/ x 3/2)
(/.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)
(/ 4/3 (/ 2 x))
(/.f64 x #s(literal 3/2 binary64))
4/3
#s(literal 4/3 binary64)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ 1 (/ (/ 2 x) 4/3))
(/.f64 x #s(literal 3/2 binary64))
1
#s(literal 1 binary64)
(/ (/ 2 x) 4/3)
(/.f64 #s(literal 3/2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
4/3
#s(literal 4/3 binary64)
(/ (/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x)) 2)
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal 3/2 binary64) x)))
(/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/16 binary64)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(/ (+ 3/4 (* (* x x) -1/16)) x)
(+.f64 (*.f64 x #s(literal -1/16 binary64)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(+ 3/4 (* (* x x) -1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
3/4
#s(literal 3/4 binary64)
(* (* x x) -1/16)
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* x x)
(*.f64 x x)
x
-1/16
#s(literal -1/16 binary64)
2
#s(literal 2 binary64)

localize147.0ms (1.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/16 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x))
✓accuracy73.8%
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.4%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(/.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)))
✓accuracy99.9%
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
Results
101.0ms256×0valid
Compiler

Compiled 115 to 23 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 19.0ms (51.6% of total)
ival-tan: 7.0ms (19% of total)
ival-mult: 4.0ms (10.9% of total)
...c/correct-round.rkt:119:19: 4.0ms (10.9% of total)
ival-add: 1.0ms (2.7% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/ 1 (/ 3/4 (tan (/ x 2))))>
#<alt (/ 3/4 (tan (/ x 2)))>
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (/ x 3/2)>
#<alt (/ 4/3 (/ 2 x))>
#<alt (/ 2 x)>
#<alt (/ 1 (/ (/ 2 x) 4/3))>
#<alt (/ (/ 2 x) 4/3)>
#<alt (/ (/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x)) 2)>
#<alt (/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x))>
#<alt (/ (+ 3/4 (* (* x x) -1/16)) x)>
#<alt (+ 3/4 (* (* x x) -1/16))>
#<alt (* (* x x) -1/16)>
#<alt (* x x)>
Outputs
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))>
#<alt (/ 3/2 x)>
#<alt (/ (+ 3/2 (* -1/8 (pow x 2))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)>
#<alt (/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))>
#<alt (* 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 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 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 (* 1/216 (pow x 2))))))>
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)>
#<alt (/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))>
#<alt (* 4/3 x)>
#<alt (* x (+ 4/3 (* 1/9 (pow x 2))))>
#<alt (* x (+ 4/3 (* (pow x 2) (+ 1/9 (* 1/108 (pow x 2))))))>
#<alt (* x (+ 4/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/108 (* 1/1296 (pow x 2))))))))>
#<alt (/ -16 x)>
#<alt (* -1 (/ (+ 16 (* 192 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 192 (* 2304 (/ 1 (pow x 2)))) (pow x 2))) 16) x)>
#<alt (/ (- (* -1 (/ (+ 2304 (* 27648 (/ 1 (pow x 2)))) (pow x 4))) (+ 16 (* 192 (/ 1 (pow x 2))))) x)>
#<alt (/ -16 x)>
#<alt (* -1 (/ (+ 16 (* 192 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 16 (+ (* 192 (/ 1 (pow x 2))) (/ 2304 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 16 (+ (* 192 (/ 1 (pow x 2))) (+ (* 27648 (/ 1 (pow x 6))) (/ 2304 (pow x 4))))) x))>
#<alt (/ 3/4 x)>
#<alt (/ (+ 3/4 (* -1/16 (pow x 2))) x)>
#<alt (/ (+ 3/4 (* -1/16 (pow x 2))) x)>
#<alt (/ (+ 3/4 (* -1/16 (pow x 2))) x)>
#<alt (* -1/16 x)>
#<alt (* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* -1/16 x)>
#<alt (* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))>
#<alt 3/4>
#<alt (+ 3/4 (* -1/16 (pow x 2)))>
#<alt (+ 3/4 (* -1/16 (pow x 2)))>
#<alt (+ 3/4 (* -1/16 (pow x 2)))>
#<alt (* -1/16 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (* -1/16 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 3/4 (tan (/ x 2)))
0.0ms
x
@-inf
(/ 3/4 (tan (/ x 2)))
0.0ms
x
@inf
(/ (/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x)) 2)
0.0ms
x
@inf
(* (* x x) -1/16)
0.0ms
x
@0
(/ 2 x)

rewrite300.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
2872×*-lowering-*.f32
2872×*-lowering-*.f64
1962×/-lowering-/.f32
1962×/-lowering-/.f64
1524×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02282
112874
268474
3475874
0802974
Stop Event
1×iter limit
1×node limit
Counts
15 → 759
Calls
Call 1
Inputs
(/ 1 (/ 3/4 (tan (/ x 2))))
(/ 3/4 (tan (/ x 2)))
(tan (/ x 2))
(/ x 2)
(/ x 3/2)
(/ 4/3 (/ 2 x))
(/ 2 x)
(/ 1 (/ (/ 2 x) 4/3))
(/ (/ 2 x) 4/3)
(/ (/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x)) 2)
(/ 1 (/ (+ 3/4 (* (* x x) -1/16)) x))
(/ (+ 3/4 (* (* x x) -1/16)) x)
(+ 3/4 (* (* x x) -1/16))
(* (* x x) -1/16)
(* x x)
Outputs
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 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)))
(/.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 (cos.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -3/4 binary64) (-.f64 #s(literal 0 binary64) (cos.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 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -3/4 binary64))
(/.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 3/4 binary64) (-.f64 #s(literal 0 binary64) (cos.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1 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 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (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 1 binary64) (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.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 0 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 1 binary64)) (*.f64 #s(literal 3/4 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 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 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))
(pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.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 #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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4/3 binary64)))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.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 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -4/3 binary64) (/.f64 (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 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal -1 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)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 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 (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 (*.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -3/4 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 4/3 binary64))
(/.f64 (/.f64 #s(literal 3/4 binary64) (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 3/4 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (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)))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (sin.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 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -3/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #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 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64)))) #s(literal -3/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (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 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (/.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x #s(literal -2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(neg.f64 (tan.f64 (/.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 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 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 (sin.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (cos.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 (tan.f64 (/.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (sin.f64 (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (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 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) x))))
(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))
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(/.f64 (*.f64 (-.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/65536 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (+.f64 #s(literal 9/16 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(*.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(*.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))))
(*.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) #s(literal -27/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))) #s(literal -9/16 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))))
(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 729/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))))) (+.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) #s(literal 9/16 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (-.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))) (-.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) (-.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/16 binary64))
(*.f64 #s(literal -1/16 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/16 binary64)) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify296.0ms (3%)

Algorithm
1×egg-herbie
Rules
2990×+-lowering-+.f64
2990×+-lowering-+.f32
2868×*-lowering-*.f32
2868×*-lowering-*.f64
2002×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01951165
15461120
216251108
345231106
477411106
086251106
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))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* 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 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 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 (* 1/216 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(* 4/3 x)
(* x (+ 4/3 (* 1/9 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (+ 1/9 (* 1/108 (pow x 2))))))
(* x (+ 4/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/108 (* 1/1296 (pow x 2))))))))
(/ -16 x)
(* -1 (/ (+ 16 (* 192 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 192 (* 2304 (/ 1 (pow x 2)))) (pow x 2))) 16) x)
(/ (- (* -1 (/ (+ 2304 (* 27648 (/ 1 (pow x 2)))) (pow x 4))) (+ 16 (* 192 (/ 1 (pow x 2))))) x)
(/ -16 x)
(* -1 (/ (+ 16 (* 192 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 16 (+ (* 192 (/ 1 (pow x 2))) (/ 2304 (pow x 4)))) x))
(* -1 (/ (+ 16 (+ (* 192 (/ 1 (pow x 2))) (+ (* 27648 (/ 1 (pow x 6))) (/ 2304 (pow x 4))))) x))
(/ 3/4 x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(* -1/16 x)
(* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* -1/16 x)
(* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))
3/4
(+ 3/4 (* -1/16 (pow x 2)))
(+ 3/4 (* -1/16 (pow x 2)))
(+ 3/4 (* -1/16 (pow x 2)))
(* -1/16 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* -1/16 (pow x 2))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(* -1/16 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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)))))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x #s(literal -1/480 binary64)))))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 x 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)))))))) x)
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.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 (*.f64 x x) (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* 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 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 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)
(/ 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 #s(literal 1/18 binary64) (*.f64 x x))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/216 (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 1/216 binary64)))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/216 (* 1/2592 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x #s(literal 1/2592 binary64))))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 96 (* 1152 (/ 1 (pow x 2)))) (pow x 2))) 8) x)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal -96 binary64) (/.f64 #s(literal 1152 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1152 (* 13824 (/ 1 (pow x 2)))) (pow x 4))) (+ 8 (* 96 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1152 binary64) (/.f64 #s(literal -13824 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x)))) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 96 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (/ 1152 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (+.f64 (/.f64 #s(literal -96 binary64) (*.f64 x x)) (/.f64 #s(literal -1152 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(* -1 (/ (+ 8 (+ (* 96 (/ 1 (pow x 2))) (+ (* 13824 (/ 1 (pow x 6))) (/ 1152 (pow x 4))))) x))
(/.f64 (+.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1152 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -13824 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(* 4/3 x)
(*.f64 x #s(literal 4/3 binary64))
(* x (+ 4/3 (* 1/9 (pow x 2))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))
(* x (+ 4/3 (* (pow x 2) (+ 1/9 (* 1/108 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/108 binary64))))))
(* x (+ 4/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/108 (* 1/1296 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/108 binary64) (*.f64 (*.f64 x x) #s(literal 1/1296 binary64)))))))))
(/ -16 x)
(/.f64 #s(literal -16 binary64) x)
(* -1 (/ (+ 16 (* 192 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -192 binary64) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 192 (* 2304 (/ 1 (pow x 2)))) (pow x 2))) 16) x)
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 (+.f64 #s(literal -192 binary64) (/.f64 #s(literal -2304 binary64) (*.f64 x x))) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 2304 (* 27648 (/ 1 (pow x 2)))) (pow x 4))) (+ 16 (* 192 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2304 binary64) (/.f64 #s(literal -27648 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -192 binary64) (*.f64 x x)))) x)
(/ -16 x)
(/.f64 #s(literal -16 binary64) x)
(* -1 (/ (+ 16 (* 192 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -192 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 16 (+ (* 192 (/ 1 (pow x 2))) (/ 2304 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -192 binary64) (*.f64 x x))) (/.f64 #s(literal -2304 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (+ 16 (+ (* 192 (/ 1 (pow x 2))) (+ (* 27648 (/ 1 (pow x 6))) (/ 2304 (pow x 4))))) x))
(/.f64 (+.f64 #s(literal -16 binary64) (+.f64 (+.f64 (/.f64 #s(literal -192 binary64) (*.f64 x x)) (/.f64 #s(literal -2304 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -27648 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 3/4 x)
(/.f64 #s(literal 3/4 binary64) x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) x)
(/ (+ 3/4 (* -1/16 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64)))) x)
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(*.f64 x (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(*.f64 x (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* x (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(*.f64 x (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* -1/16 x)
(*.f64 x #s(literal -1/16 binary64))
(* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
(* -1 (* x (- 1/16 (* 3/4 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 3/4 binary64) (*.f64 x x))))
3/4
#s(literal 3/4 binary64)
(+ 3/4 (* -1/16 (pow x 2)))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(+ 3/4 (* -1/16 (pow x 2)))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(+ 3/4 (* -1/16 (pow x 2)))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* (pow x 2) (- (* 3/4 (/ 1 (pow x 2))) 1/16))
(+.f64 #s(literal 3/4 binary64) (*.f64 x (*.f64 x #s(literal -1/16 binary64))))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(* -1/16 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/16 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval123.0ms (1.2%)

Compiler

Compiled 15352 to 2207 computations (85.6% saved)

prune138.0ms (1.4%)

Pruning

32 alts after pruning (21 fresh and 11 done)

PrunedKeptTotal
New95717974
Fresh246
Picked145
Done077
Total96032992
Accuracy
100.0%
Counts
992 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.7%
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (-.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) #s(literal 2 binary64))
47.5%
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 729/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))))) (+.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) #s(literal 9/16 binary64))))) #s(literal 2 binary64))
✓99.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
49.6%
(/.f64 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
48.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64))) x)) #s(literal 2 binary64))
48.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) #s(literal 2 binary64))
47.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) x)) #s(literal 2 binary64))
47.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))) #s(literal 2 binary64))
49.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))) #s(literal 2 binary64))
48.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64)))) #s(literal 2 binary64))
48.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x)))) #s(literal 2 binary64))
47.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))) #s(literal 2 binary64))
49.3%
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 #s(literal -1 binary64) x))
54.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
2.5%
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
✓54.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓99.8%
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
✓48.9%
(/.f64 x #s(literal 3/2 binary64))
✓48.6%
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
✓48.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
48.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
48.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
✓99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 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)))
49.5%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
2.7%
(/.f64 #s(literal -8 binary64) x)
98.7%
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64))
49.4%
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
✓99.5%
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
✓48.5%
(*.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))))))
✓48.5%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
✓48.6%
(*.f64 #s(literal 2/3 binary64) x)
Compiler

Compiled 1257 to 553 computations (56% saved)

regimes30.0ms (0.3%)

Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64))) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (-.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 729/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))))) (+.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) #s(literal 9/16 binary64))))) #s(literal 2 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3/8 binary64))) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.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 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 (*.f64 #s(literal 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 2 binary64))) (/.f64 (/.f64 (sin.f64 x) #s(literal 8/3 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))
Outputs
(/.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

13.0ms
(/.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))
12.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes11.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64))) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (-.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 729/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))))) (+.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) #s(literal 9/16 binary64))))) #s(literal 2 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:

8.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) x)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64))) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/256 binary64)))) #s(literal -9/16 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -3/4 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) x)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64))) x) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64)))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/256 binary64)))) (-.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 9/16 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 27/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4096 binary64))))) (+.f64 #s(literal 729/4096 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))))))) (+.f64 #s(literal 81/256 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/256 binary64)) #s(literal -3/64 binary64))) #s(literal 9/16 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
49.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64))))))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
49.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
(/.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x))
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4/3 binary64)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 x (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -96 binary64) (*.f64 x x))) x)
Outputs
(/.f64 x #s(literal 3/2 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
48.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Accuracy

Total -30.1b remaining (-91.6%)

Threshold costs -30.1b (-91.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 #s(literal -8 binary64) x)
Outputs
(*.f64 #s(literal 2/3 binary64) x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
48.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02440
13440
24940
35740
46340
56540
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 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
(/.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 (/.f64 x (-.f64 #s(literal -3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) x)
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))
(/.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 2/3 binary64) x)
(*.f64 x #s(literal 2/3 binary64))

soundness2.6s (25.7%)

Rules
4772×*-lowering-*.f32
4772×*-lowering-*.f64
4024×+-lowering-+.f64
4024×+-lowering-+.f32
3680×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028136
1163118
21120118
08605118
01811787
15281701
215241699
341221686
464361686
080131686
01671296
15001238
214531232
346921224
460911224
080571224
0145850
1415810
21199804
33806804
44877804
56220804
66749804
77228804
08093804
01568
14159
215659
383053
4594647
0896747
01214
11914
22914
33814
44114
04114
02282
112874
268474
3475874
0802974
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
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
Compiler

Compiled 197 to 129 computations (34.5% saved)

preprocess70.0ms (0.7%)

Remove

(negabs x)

Compiler

Compiled 192 to 128 computations (33.3% saved)

end0.0ms (0%)

Profiling

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